Bellman function for extremal problems in BMO II : evolution / / Paata Ivanisvili [and three others] |
Autore | Ivanisvili Paata <1988-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
Descrizione fisica | 1 online resource (148 pages) |
Disciplina | 515/.2433 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Harmonic analysis
Extremal problems (Mathematics) Bounded mean oscillation |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-4817-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Setting and sketch of proof -- Patterns for Bellman candidates -- Evolution of Bellman candidates -- Optimizers -- Related questions and further development. |
Record Nr. | UNINA-9910478903103321 |
Ivanisvili Paata <1988-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure [[electronic resource] /] / by Pascal Auscher, Moritz Egert |
Autore | Auscher Pascal |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
Descrizione fisica | 1 online resource (310 pages) |
Disciplina | 515.353 |
Altri autori (Persone) | EgertMoritz |
Collana | Progress in Mathematics |
Soggetto topico |
Differential equations
Harmonic analysis Operator theory Functional analysis Differential Equations Abstract Harmonic Analysis Operator Theory Functional Analysis |
ISBN | 3-031-29973-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter. 1. Introduction and main results -- Chapter. 2. Preliminaries on function spaces -- Chapter. 3. Preliminaries on operator theory -- Chapter. 4. Hp - Hq bounded families -- Chapter. 5. Conservation properties -- Chapter. 6. The four critical numbers -- Chapter. 7. Riesz transform estimates: Part I -- Chapter. 8. Operator-adapted spaces -- Chapter. 9. Identification of adapted Hardy spaces -- Chapter. 10. A digression: H -calculus and analyticity -- Chapter. 11. Riesz transform estimates: Part II -- Chapter. 12. Critical numbers for Poisson and heat semigroups -- Chapter. 13. Lp boundedness of the Hodge projector -- Chapter. 14. Critical numbers and kernel bounds -- Chapter. 15. Comparison with the Auscher–Stahlhut interval -- Chapter. 16. Basic properties of weak solutions -- Chapter. 17. Existence in Hp Dirichlet and Regularity problems -- Chapter. 18. Existence in the Dirichlet problems with data -- Chapter. 19. Existence in Dirichlet problems with fractional regularity data -- Chapter. 20. Single layer operators for L and estimates for L-1 -- Chapter. 21. Uniqueness in regularity and Dirichlet problems -- Chapter. 22. The Neumann problem -- Appendix A. Non-tangential maximal functions and traces -- Appendix B. The Lp-realization of a sectorial operator in L2 -- References -- Index. |
Record Nr. | UNINA-9910736007303321 |
Auscher Pascal | ||
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Causal symmetric spaces [e-book] : geometry and harmonic analysis / Joachim Hilgert, Gestur Ólafsson |
Autore | Hilgert, Joachim |
Pubbl/distr/stampa | San Diego : Academic Press, c1997 |
Descrizione fisica | xiv, 286 p. ; 24 cm |
Disciplina | 516.362 |
Altri autori (Persone) | Ólafsson, Gesturauthor |
Collana | Perspectives in mathematics ; 18 |
Soggetto topico |
Symmetric spaces
Harmonic analysis |
ISBN |
9780125254304
012525430X |
Formato | Risorse elettroniche |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003272449707536 |
Hilgert, Joachim | ||
San Diego : Academic Press, c1997 | ||
Risorse elettroniche | ||
Lo trovi qui: Univ. del Salento | ||
|
Classical and multilinear harmonic analysis . Volume 1 / / Camil Muscalu, Wilhelm Schlag [[electronic resource]] |
Autore | Muscalu Camil |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xviii, 370 pages) : digital, PDF file(s) |
Disciplina | 515/.2422 |
Collana | Cambridge studies in advanced mathematics |
Soggetto topico | Harmonic analysis |
ISBN |
1-107-23372-0
1-139-60986-6 1-139-61172-0 1-139-62102-5 1-283-94313-1 1-139-62474-1 1-139-61544-0 1-139-60838-X 1-139-04708-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Acknowledgements; 1 Fourier series: convergence and summability; 1.1 The basics: partial sums and the Dirichlet kernel; 1.2 Approximate identities, Fej ́er kernel; 1.3 The Lp convergence of partial sums; 1.4 Regularity and Fourier series; 1.5 Higher dimensions; 1.6 Interpolation of operators; Notes; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; 2 Harmonic functions; Poisson kernel; 2.1 Harmonic functions; 2.2 The Poisson kernel; 2.3 The Hardy-Littlewood maximal function
2.4 Almost everywhere convergence2.5 Weighted estimates for maximal functions; Notes; 3 Conjugate harmonic functions; Hilbert transform; 3.1 Hardy spaces of analytic functions; 3.2 Riesz theorems; 3.3 Definition and simple properties of the conjugate function; 3.4 The weak-L1 bound on the maximal function; 3.5 The Hilbert transform; 3.6 Convergence of Fourier series in Lp; Notes; 4 The Fourier transform on Rd and on LCA groups; 4.1 The Euclidean Fourier transform; 4.2 Method of stationary or nonstationary phases; 4.3 The Fourier transform on locally compact Abelian groups; Notes 5 Introduction to probability theory5.1 Probability spaces; independence; 5.2 Sums of independent variables; 5.3 Conditional expectations; martingales; Notes; 6 Fourier series and randomness; 6.1 Fourier series on L1(T): pointwise questions; 6.2 Random Fourier series: the basics; 6.3 Sidon sets; Notes; 7 Calder ́on-Zygmund theory of singular integrals; 7.1 Calder ́on-Zygmund kernels; 7.2 The Laplacian: Riesz transforms and fractional integration; 7.3 Almost everywhere convergence; homogeneous kernels; 7.4 Bounded mean oscillation space; 7.5 Singular integrals and Ap weights 7.6 A glimpse of H1-BMO duality and further remarksNotes; 8 Littlewood-Paley theory; 8.1 The Mikhlin multiplier theorem; 8.2 Littlewood-Paley square-function estimate; 8.3 Calderon-Zygmund H ̈older spaces, and Schauder estimates; 8.4 The Haar functions; dyadic harmonic analysis; 8.5 Oscillatory multipliers; Notes; 9 Almost orthogonality; 9.1 Cotlar's lemma; 9.2 Calderon-Vaillancourt theorem; 9.3 Hardy's inequality; 9.4 The T(1) theorem via Haar functions; 9.5 Carleson measures, BMO, and T(1); Notes; 10 The uncertainty principle; 10.1 Bernstein's bound and Heisenberg's uncertainty principle 10.2 The Amrein-Berthier theorem10.3 The Logvinenko-Sereda theorem; 10.4 Solvability of constant-coefficient linear PDEs; Notes; 11 Fourier restriction and applications; 11.1 The Tomas-Stein theorem; 11.2 The endpoint; 11.3 Restriction and PDE; Strichartz estimates; 11.4 Optimal two-dimensional restriction; Notes; 12 Introduction to the Weyl calculus; 12.1 Motivation, definitions, basic properties; 12.2 Adjoints and compositions; 12.3 The L2 theory; 12.4 A phase-space transform; Notes; References; Index |
Altri titoli varianti | Classical & Multilinear Harmonic Analysis |
Record Nr. | UNINA-9910462787703321 |
Muscalu Camil | ||
Cambridge : , : Cambridge University Press, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical and multilinear harmonic analysis . Volume 2 / / Camil Muscalu, Wilhelm Schlag [[electronic resource]] |
Autore | Muscalu Camil |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xvi, 324 pages) : digital, PDF file(s) |
Disciplina | 515/.2422 |
Collana | Cambridge studies in advanced mathematics |
Soggetto topico | Harmonic analysis |
ISBN |
1-139-61116-X
1-107-23788-2 1-139-61302-2 1-139-62232-3 1-283-94327-1 1-139-62604-3 1-139-60934-3 1-139-41039-3 1-139-61674-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Acknowledgements; 1 Leibnitz rules and the generalized Korteweg-de Vries equation; 1.1 Conserved quantities; 1.2 Dispersive estimates for the linear equation; 1.3 Dispersive estimates for the nonlinear equation; 1.4 Wave packets and phase-space portraits; 1.5 The phase-space portraits of e2ix2 and e2ix3; 1.6 Asymptotics for the Airy function; Notes; Problems; 2 Classical paraproducts; 2.1 Paraproducts; 2.2 Discretized paraproducts; 2.3 Discretized Littlewood-Paley square-function operator; 2.4 Dualization of quasi-norms; 2.5 Two particular cases of Theorem 2.3
3.7 Proof of Theorem 3.1 part 2; 3.8 Multiparameter paraproducts; 3.9 Proof of Theorem 3.1; a simplification; 3.10 Proof of the generic decomposition; Notes; Problems; 4 Calder ́on commutators and the Cauchy integral; 4.1 History; 4.2 The first Calder ́on commutator; 4.3 Generalizations; 4.4 The Cauchy integral on Lipschitz curves; 4.5 Generalizations; Notes; Problems; 5 Iterated Fourier series and physical reality; 5.1 Iterated Fourier series; 5.2 Physical reality; 5.3 Generic Lp AKNS systems for 1p < 2; 5.4 Generic L2 AKNS systems; Notes; Problems; 6 The bilinear Hilbert transform 6.1 Discretization6.2 The particular scale-1 case of Theorem 6.5; 6.3 Trees, L2 sizes, and L2 energies; 6.4 Proof of Theorem 6.5; 6.5 Bessel-type inequalities; 6.6 Stopping-time decompositions; 6.7 Generic estimate of the trilinear BHT form; 6.8 The 1/2 < r < 2/3 counterexample; 6.9 The bilinear Hilbert transform on polydisks; Notes; Problems; 7 Almost everywhere convergence of Fourier series; 7.1 Reduction to the continuous case; 7.2 Discrete models; 7.3 Proof of Theorem 7.2 in the scale-1 case; 7.4 Estimating a single tree; 7.5 Additional sizes and energies; 7.6 Proof of Theorem 7.2 7.7 Estimates for Carleson energies7.8 Stopping-time decompositions; 7.9 Generic estimate of the bilinear Carleson form; 7.10 Fefferman's counterexample; Notes; Problems; 8 Flag paraproducts; 8.1 Generic flag paraproducts; 8.2 Mollifying a product of two paraproducts; 8.3 Flag paraproducts and quadratic NLS; 8.4 Flag paraproducts and U-statistics; 8.5 Discrete operators and interpolation; 8.6 Reduction to the model operators; 8.7 Rewriting the 4-linear forms; 8.8 The new size and energy estimates; 8.9 Estimates for T1 and T1,l0 near A4; 8.10 Estimates for T1*3 and T*31,l0 near A31 and A32 8.11 Upper bounds for flag sizes |
Altri titoli varianti | Classical & Multilinear Harmonic Analysis |
Record Nr. | UNINA-9910462825303321 |
Muscalu Camil | ||
Cambridge : , : Cambridge University Press, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical and multilinear harmonic analysis . Volume 2 / / Camil Muscalu, Wilhelm Schlag [[electronic resource]] |
Autore | Muscalu Camil |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xvi, 324 pages) : digital, PDF file(s) |
Disciplina | 515/.2422 |
Collana | Cambridge studies in advanced mathematics |
Soggetto topico | Harmonic analysis |
ISBN |
1-139-61116-X
1-107-23788-2 1-139-61302-2 1-139-62232-3 1-283-94327-1 1-139-62604-3 1-139-60934-3 1-139-41039-3 1-139-61674-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Acknowledgements; 1 Leibnitz rules and the generalized Korteweg-de Vries equation; 1.1 Conserved quantities; 1.2 Dispersive estimates for the linear equation; 1.3 Dispersive estimates for the nonlinear equation; 1.4 Wave packets and phase-space portraits; 1.5 The phase-space portraits of e2ix2 and e2ix3; 1.6 Asymptotics for the Airy function; Notes; Problems; 2 Classical paraproducts; 2.1 Paraproducts; 2.2 Discretized paraproducts; 2.3 Discretized Littlewood-Paley square-function operator; 2.4 Dualization of quasi-norms; 2.5 Two particular cases of Theorem 2.3
3.7 Proof of Theorem 3.1 part 2; 3.8 Multiparameter paraproducts; 3.9 Proof of Theorem 3.1; a simplification; 3.10 Proof of the generic decomposition; Notes; Problems; 4 Calder ́on commutators and the Cauchy integral; 4.1 History; 4.2 The first Calder ́on commutator; 4.3 Generalizations; 4.4 The Cauchy integral on Lipschitz curves; 4.5 Generalizations; Notes; Problems; 5 Iterated Fourier series and physical reality; 5.1 Iterated Fourier series; 5.2 Physical reality; 5.3 Generic Lp AKNS systems for 1p < 2; 5.4 Generic L2 AKNS systems; Notes; Problems; 6 The bilinear Hilbert transform 6.1 Discretization6.2 The particular scale-1 case of Theorem 6.5; 6.3 Trees, L2 sizes, and L2 energies; 6.4 Proof of Theorem 6.5; 6.5 Bessel-type inequalities; 6.6 Stopping-time decompositions; 6.7 Generic estimate of the trilinear BHT form; 6.8 The 1/2 < r < 2/3 counterexample; 6.9 The bilinear Hilbert transform on polydisks; Notes; Problems; 7 Almost everywhere convergence of Fourier series; 7.1 Reduction to the continuous case; 7.2 Discrete models; 7.3 Proof of Theorem 7.2 in the scale-1 case; 7.4 Estimating a single tree; 7.5 Additional sizes and energies; 7.6 Proof of Theorem 7.2 7.7 Estimates for Carleson energies7.8 Stopping-time decompositions; 7.9 Generic estimate of the bilinear Carleson form; 7.10 Fefferman's counterexample; Notes; Problems; 8 Flag paraproducts; 8.1 Generic flag paraproducts; 8.2 Mollifying a product of two paraproducts; 8.3 Flag paraproducts and quadratic NLS; 8.4 Flag paraproducts and U-statistics; 8.5 Discrete operators and interpolation; 8.6 Reduction to the model operators; 8.7 Rewriting the 4-linear forms; 8.8 The new size and energy estimates; 8.9 Estimates for T1 and T1,l0 near A4; 8.10 Estimates for T1*3 and T*31,l0 near A31 and A32 8.11 Upper bounds for flag sizes |
Altri titoli varianti | Classical & Multilinear Harmonic Analysis |
Record Nr. | UNINA-9910786033903321 |
Muscalu Camil | ||
Cambridge : , : Cambridge University Press, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical and multilinear harmonic analysis . Volume 1 / / Camil Muscalu, Wilhelm Schlag [[electronic resource]] |
Autore | Muscalu Camil |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xviii, 370 pages) : digital, PDF file(s) |
Disciplina | 515/.2422 |
Collana | Cambridge studies in advanced mathematics |
Soggetto topico | Harmonic analysis |
ISBN |
1-107-23372-0
1-139-60986-6 1-139-61172-0 1-139-62102-5 1-283-94313-1 1-139-62474-1 1-139-61544-0 1-139-60838-X 1-139-04708-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Acknowledgements; 1 Fourier series: convergence and summability; 1.1 The basics: partial sums and the Dirichlet kernel; 1.2 Approximate identities, Fej ́er kernel; 1.3 The Lp convergence of partial sums; 1.4 Regularity and Fourier series; 1.5 Higher dimensions; 1.6 Interpolation of operators; Notes; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; 2 Harmonic functions; Poisson kernel; 2.1 Harmonic functions; 2.2 The Poisson kernel; 2.3 The Hardy-Littlewood maximal function
2.4 Almost everywhere convergence2.5 Weighted estimates for maximal functions; Notes; 3 Conjugate harmonic functions; Hilbert transform; 3.1 Hardy spaces of analytic functions; 3.2 Riesz theorems; 3.3 Definition and simple properties of the conjugate function; 3.4 The weak-L1 bound on the maximal function; 3.5 The Hilbert transform; 3.6 Convergence of Fourier series in Lp; Notes; 4 The Fourier transform on Rd and on LCA groups; 4.1 The Euclidean Fourier transform; 4.2 Method of stationary or nonstationary phases; 4.3 The Fourier transform on locally compact Abelian groups; Notes 5 Introduction to probability theory5.1 Probability spaces; independence; 5.2 Sums of independent variables; 5.3 Conditional expectations; martingales; Notes; 6 Fourier series and randomness; 6.1 Fourier series on L1(T): pointwise questions; 6.2 Random Fourier series: the basics; 6.3 Sidon sets; Notes; 7 Calder ́on-Zygmund theory of singular integrals; 7.1 Calder ́on-Zygmund kernels; 7.2 The Laplacian: Riesz transforms and fractional integration; 7.3 Almost everywhere convergence; homogeneous kernels; 7.4 Bounded mean oscillation space; 7.5 Singular integrals and Ap weights 7.6 A glimpse of H1-BMO duality and further remarksNotes; 8 Littlewood-Paley theory; 8.1 The Mikhlin multiplier theorem; 8.2 Littlewood-Paley square-function estimate; 8.3 Calderon-Zygmund H ̈older spaces, and Schauder estimates; 8.4 The Haar functions; dyadic harmonic analysis; 8.5 Oscillatory multipliers; Notes; 9 Almost orthogonality; 9.1 Cotlar's lemma; 9.2 Calderon-Vaillancourt theorem; 9.3 Hardy's inequality; 9.4 The T(1) theorem via Haar functions; 9.5 Carleson measures, BMO, and T(1); Notes; 10 The uncertainty principle; 10.1 Bernstein's bound and Heisenberg's uncertainty principle 10.2 The Amrein-Berthier theorem10.3 The Logvinenko-Sereda theorem; 10.4 Solvability of constant-coefficient linear PDEs; Notes; 11 Fourier restriction and applications; 11.1 The Tomas-Stein theorem; 11.2 The endpoint; 11.3 Restriction and PDE; Strichartz estimates; 11.4 Optimal two-dimensional restriction; Notes; 12 Introduction to the Weyl calculus; 12.1 Motivation, definitions, basic properties; 12.2 Adjoints and compositions; 12.3 The L2 theory; 12.4 A phase-space transform; Notes; References; Index |
Altri titoli varianti | Classical & Multilinear Harmonic Analysis |
Record Nr. | UNINA-9910786183003321 |
Muscalu Camil | ||
Cambridge : , : Cambridge University Press, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical and multilinear harmonic analysis . Volume 1 / / Camil Muscalu, Wilhelm Schlag [[electronic resource]] |
Autore | Muscalu Camil |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xviii, 370 pages) : digital, PDF file(s) |
Disciplina | 515/.2422 |
Collana | Cambridge studies in advanced mathematics |
Soggetto topico | Harmonic analysis |
ISBN |
1-107-23372-0
1-139-60986-6 1-139-61172-0 1-139-62102-5 1-283-94313-1 1-139-62474-1 1-139-61544-0 1-139-60838-X 1-139-04708-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Acknowledgements; 1 Fourier series: convergence and summability; 1.1 The basics: partial sums and the Dirichlet kernel; 1.2 Approximate identities, Fej ́er kernel; 1.3 The Lp convergence of partial sums; 1.4 Regularity and Fourier series; 1.5 Higher dimensions; 1.6 Interpolation of operators; Notes; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; Problems; 2 Harmonic functions; Poisson kernel; 2.1 Harmonic functions; 2.2 The Poisson kernel; 2.3 The Hardy-Littlewood maximal function
2.4 Almost everywhere convergence2.5 Weighted estimates for maximal functions; Notes; 3 Conjugate harmonic functions; Hilbert transform; 3.1 Hardy spaces of analytic functions; 3.2 Riesz theorems; 3.3 Definition and simple properties of the conjugate function; 3.4 The weak-L1 bound on the maximal function; 3.5 The Hilbert transform; 3.6 Convergence of Fourier series in Lp; Notes; 4 The Fourier transform on Rd and on LCA groups; 4.1 The Euclidean Fourier transform; 4.2 Method of stationary or nonstationary phases; 4.3 The Fourier transform on locally compact Abelian groups; Notes 5 Introduction to probability theory5.1 Probability spaces; independence; 5.2 Sums of independent variables; 5.3 Conditional expectations; martingales; Notes; 6 Fourier series and randomness; 6.1 Fourier series on L1(T): pointwise questions; 6.2 Random Fourier series: the basics; 6.3 Sidon sets; Notes; 7 Calder ́on-Zygmund theory of singular integrals; 7.1 Calder ́on-Zygmund kernels; 7.2 The Laplacian: Riesz transforms and fractional integration; 7.3 Almost everywhere convergence; homogeneous kernels; 7.4 Bounded mean oscillation space; 7.5 Singular integrals and Ap weights 7.6 A glimpse of H1-BMO duality and further remarksNotes; 8 Littlewood-Paley theory; 8.1 The Mikhlin multiplier theorem; 8.2 Littlewood-Paley square-function estimate; 8.3 Calderon-Zygmund H ̈older spaces, and Schauder estimates; 8.4 The Haar functions; dyadic harmonic analysis; 8.5 Oscillatory multipliers; Notes; 9 Almost orthogonality; 9.1 Cotlar's lemma; 9.2 Calderon-Vaillancourt theorem; 9.3 Hardy's inequality; 9.4 The T(1) theorem via Haar functions; 9.5 Carleson measures, BMO, and T(1); Notes; 10 The uncertainty principle; 10.1 Bernstein's bound and Heisenberg's uncertainty principle 10.2 The Amrein-Berthier theorem10.3 The Logvinenko-Sereda theorem; 10.4 Solvability of constant-coefficient linear PDEs; Notes; 11 Fourier restriction and applications; 11.1 The Tomas-Stein theorem; 11.2 The endpoint; 11.3 Restriction and PDE; Strichartz estimates; 11.4 Optimal two-dimensional restriction; Notes; 12 Introduction to the Weyl calculus; 12.1 Motivation, definitions, basic properties; 12.2 Adjoints and compositions; 12.3 The L2 theory; 12.4 A phase-space transform; Notes; References; Index |
Altri titoli varianti | Classical & Multilinear Harmonic Analysis |
Record Nr. | UNINA-9910817544503321 |
Muscalu Camil | ||
Cambridge : , : Cambridge University Press, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical and multilinear harmonic analysis . Volume 2 / / Camil Muscalu, Wilhelm Schlag [[electronic resource]] |
Autore | Muscalu Camil |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xvi, 324 pages) : digital, PDF file(s) |
Disciplina | 515/.2422 |
Collana | Cambridge studies in advanced mathematics |
Soggetto topico | Harmonic analysis |
ISBN |
1-139-61116-X
1-107-23788-2 1-139-61302-2 1-139-62232-3 1-283-94327-1 1-139-62604-3 1-139-60934-3 1-139-41039-3 1-139-61674-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Preface; Acknowledgements; 1 Leibnitz rules and the generalized Korteweg-de Vries equation; 1.1 Conserved quantities; 1.2 Dispersive estimates for the linear equation; 1.3 Dispersive estimates for the nonlinear equation; 1.4 Wave packets and phase-space portraits; 1.5 The phase-space portraits of e2ix2 and e2ix3; 1.6 Asymptotics for the Airy function; Notes; Problems; 2 Classical paraproducts; 2.1 Paraproducts; 2.2 Discretized paraproducts; 2.3 Discretized Littlewood-Paley square-function operator; 2.4 Dualization of quasi-norms; 2.5 Two particular cases of Theorem 2.3
3.7 Proof of Theorem 3.1 part 2; 3.8 Multiparameter paraproducts; 3.9 Proof of Theorem 3.1; a simplification; 3.10 Proof of the generic decomposition; Notes; Problems; 4 Calder ́on commutators and the Cauchy integral; 4.1 History; 4.2 The first Calder ́on commutator; 4.3 Generalizations; 4.4 The Cauchy integral on Lipschitz curves; 4.5 Generalizations; Notes; Problems; 5 Iterated Fourier series and physical reality; 5.1 Iterated Fourier series; 5.2 Physical reality; 5.3 Generic Lp AKNS systems for 1p < 2; 5.4 Generic L2 AKNS systems; Notes; Problems; 6 The bilinear Hilbert transform 6.1 Discretization6.2 The particular scale-1 case of Theorem 6.5; 6.3 Trees, L2 sizes, and L2 energies; 6.4 Proof of Theorem 6.5; 6.5 Bessel-type inequalities; 6.6 Stopping-time decompositions; 6.7 Generic estimate of the trilinear BHT form; 6.8 The 1/2 < r < 2/3 counterexample; 6.9 The bilinear Hilbert transform on polydisks; Notes; Problems; 7 Almost everywhere convergence of Fourier series; 7.1 Reduction to the continuous case; 7.2 Discrete models; 7.3 Proof of Theorem 7.2 in the scale-1 case; 7.4 Estimating a single tree; 7.5 Additional sizes and energies; 7.6 Proof of Theorem 7.2 7.7 Estimates for Carleson energies7.8 Stopping-time decompositions; 7.9 Generic estimate of the bilinear Carleson form; 7.10 Fefferman's counterexample; Notes; Problems; 8 Flag paraproducts; 8.1 Generic flag paraproducts; 8.2 Mollifying a product of two paraproducts; 8.3 Flag paraproducts and quadratic NLS; 8.4 Flag paraproducts and U-statistics; 8.5 Discrete operators and interpolation; 8.6 Reduction to the model operators; 8.7 Rewriting the 4-linear forms; 8.8 The new size and energy estimates; 8.9 Estimates for T1 and T1,l0 near A4; 8.10 Estimates for T1*3 and T*31,l0 near A31 and A32 8.11 Upper bounds for flag sizes |
Altri titoli varianti | Classical & Multilinear Harmonic Analysis |
Record Nr. | UNINA-9910815215003321 |
Muscalu Camil | ||
Cambridge : , : Cambridge University Press, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical and multilinear harmonic analysis / Camil Muscalu, Wilhelm Schlag |
Autore | Muscalu, Camil |
Pubbl/distr/stampa | Cambridge, UK : Cambridge University Press, 2013 |
Descrizione fisica | 2 v. : il. ; 24 cm |
Disciplina | 515.2422 |
Altri autori (Persone) | Schlag, Wilhelmauthor |
Collana | Cambridge studies in advanced mathematics ; 137-138 |
Soggetto topico | Harmonic analysis |
ISBN |
9780521882453 (v. 1 : hardback)
0521882451 (v. 1 : hardback) 9781107031821 (v. 2 : hardback) 1107031826 (v. 2 : hardback) 1107032628 (set) |
Classificazione |
AMS 42-02
LC QA403 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
v.1.: Fourier series: convergence and summability ; Harmonic functions; Poisson kernel ; Conjugate harmonic fuctions; Hilbert transform ; The Fourier transform on R[superscript d] and on LCA groups ; Introduction to probability theory ; Fourier series and randomness ; Calderón-Zygmund theory of singular integrals ; Littlewood-Paley theory ; Almost orthogonality ; The uncertainty principle ; Fourier restriction and applications ; Introduction to the Weyl calculus
v. 2.: Leibnitz rules and the generalized Korteweg-de Vries equation ; Classical paraproducts ; Paraproducts on polydisks ; Calderón commutators and the Cauchy integral on Lipschitz curves ; Iterated Fourier series and physical reality ; The bilinear Hilbert transform ; Almost everywhere convergence of Fourier series ; Flag paraproducts ; Appendix: multilinear interpolation |
Record Nr. | UNISALENTO-991002667559707536 |
Muscalu, Camil | ||
Cambridge, UK : Cambridge University Press, 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|