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Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure / / by Pascal Auscher, Moritz Egert
| Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure / / 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 Equacions diferencials el·líptiques Problemes de contorn Espais de Hardy |
| Soggetto genere / forma | Llibres electrònics |
| 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
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The E. M. Stein lectures on hardy spaces / / Steven G. Krantz
| The E. M. Stein lectures on hardy spaces / / Steven G. Krantz |
| Autore | Krantz Steven G. <1951-> |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] |
| Descrizione fisica | 1 online resource (257 pages) |
| Disciplina | 515.9 |
| Collana | Lecture Notes in Mathematics Series |
| Soggetto topico |
Bounded mean oscillation
Hardy spaces Espais de Hardy Espais funcionals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031219528
9783031219511 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introductory material -- More on Hardy Spaces -- Background on H^p Spaces -- Hardy Spaces on D -- Hardy Spaces on R^n -- Developments Since 1974 -- Concluding Remarks -- Bibliography -- Index. |
| Record Nr. | UNISA-996511861503316 |
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Krantz Steven G. <1951->
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| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
The E. M. Stein lectures on hardy spaces / / Steven G. Krantz
| The E. M. Stein lectures on hardy spaces / / Steven G. Krantz |
| Autore | Krantz Steven G. <1951-> |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] |
| Descrizione fisica | 1 online resource (257 pages) |
| Disciplina | 515.9 |
| Collana | Lecture Notes in Mathematics Series |
| Soggetto topico |
Bounded mean oscillation
Hardy spaces Espais de Hardy Espais funcionals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031219528
9783031219511 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introductory material -- More on Hardy Spaces -- Background on H^p Spaces -- Hardy Spaces on D -- Hardy Spaces on R^n -- Developments Since 1974 -- Concluding Remarks -- Bibliography -- Index. |
| Record Nr. | UNINA-9910659479703321 |
|
Krantz Steven G. <1951->
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||
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Martingale Hardy spaces and summability of one-dimensional Vilenkin-Fourier series / / Lars-Erik Persson, George Tephnadze, Ferenc Weisz
| Martingale Hardy spaces and summability of one-dimensional Vilenkin-Fourier series / / Lars-Erik Persson, George Tephnadze, Ferenc Weisz |
| Autore | Persson Lars-Erik <1949-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2022] |
| Descrizione fisica | 1 online resource (633 pages) |
| Disciplina | 515.2433 |
| Soggetto topico |
Fourier series
Hardy spaces Martingales (Mathematics) Sèries de Fourier Espais de Hardy Martingales (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-14459-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- How to Read the Book? -- Acknowledgements -- Contents -- 1 Partial Sums of Vilenkin-Fourier Series in Lebesgue Spaces -- 1.1 Introduction -- 1.2 Vilenkin Groups and Functions -- 1.3 The Representation of the Vilenkin Groups on the Interval [0,1) -- 1.4 Convex Functions and Classical Inequalities -- 1.5 Lebesgue Spaces -- 1.6 Dirichlet Kernels -- 1.7 Lebesgue Constants -- 1.8 Vilenkin-Fourier Coefficients -- 1.9 Partial Sums -- 1.10 Final Comments and Open Questions -- 2 Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series -- 2.1 Introduction -- 2.2 Conditional Expectation Operators -- 2.3 Martingales and Maximal Functions -- 2.4 Calderon-Zygmund Decomposition -- 2.5 Almost Everywhere Convergence of Vilenkin-Fourier Series -- 2.6 Almost Everywhere Divergence of Vilenkin-Fourier Series -- 2.7 Final Comments and Open Questions -- 3 Vilenkin-Fejér Means and an Approximate Identity in Lebesgue Spaces -- 3.1 Introduction -- 3.2 Vilenkin-Fejér Kernels -- 3.3 Approximation of Vilenkin-Fejér Means -- 3.4 Almost Everywhere Convergence of Vilenkin- Fejér Means -- 3.5 Approximate Identity -- 3.6 Final Comments and Open Questions -- 4 Nörlund and T Means of Vilenkin-Fourier Series in Lebesgue Spaces -- 4.1 Introduction -- 4.2 Well-Known and New Examples of Nörlund and TMeans -- 4.3 Regularity of Nörlund and T Means -- 4.4 Kernels of Nörlund Means -- 4.5 Kernels of T Means -- 4.6 Norm Convergence of Nörlund and T Means in Lebesgue Spaces -- 4.7 Almost Everywhere Convergence of Nörlund and T Means -- 4.8 Convergence of Nörlund and T Means in Vilenkin-Lebesgue Points -- 4.9 Riesz and Nörlund Logarithmic Kernels and Means -- 4.10 Final Comments and Open Questions -- 5 Theory of Martingale Hardy Spaces -- 5.1 Introduction -- 5.2 Martingale Hardy Spaces and Modulus of Continuity.
5.3 Atomic Decomposition of the Martingale Hardy Spaces Hp -- 5.4 Interpolation Between Hardy Spaces Hp -- 5.5 Bounded Operators on Hp Spaces -- 5.6 Examples of p-Atoms and Hp Martingales -- 5.7 Final Comments and Open Questions -- 6 Vilenkin-Fourier Coefficients and Partial Sums in Martingale Hardy Spaces -- 6.1 Introduction -- 6.2 Estimations of Vilenkin-Fourier Coefficients in Hp Spaces -- 6.3 Hardy and Paley Type Inequalities in Hp Spaces -- 6.4 Maximal Operators of Partial Sums on Hp Spaces -- 6.5 Convergence of Partial Sums in Hp Spaces -- 6.6 Convergence of Subsequences of Partial Sums in Hp Spaces -- 6.7 Strong Convergence of Partial Sums in Hp Spaces -- 6.8 Final Comments and Open Questions -- 7 Vilenkin-Fejér Means in Martingale Hardy Spaces -- 7.1 Introduction -- 7.2 Maximal Operator of Vilenkin-Fejér Means on Hp Spaces -- 7.3 Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.4 Convergence of Subsequences of Vilenkin-Fejér Means in Hp Spaces -- 7.5 Strong Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.6 Final Comments and Open Questions -- 8 Nörlund and T Means of Vilenkin-Fourier Series in Martingale Hardy Spaces -- 8.1 Introduction -- 8.2 Maximal Operators of Nörlund Means on Hp Spaces -- 8.3 Maximal Operators of T Means on Hp Spaces -- 8.4 Strong Convergence of Nörlund Means in Hp Spaces -- 8.5 Strong Convergence of T Means in Hp Spaces -- 8.6 Maximal Operators of Riesz and Nörlund Logarithmic Means on Hp Spaces -- 8.7 Strong Convergence of Riesz and Nörlund Logarithmic Means in Hp Spaces -- 8.8 Final Comments and Open Questions -- 9 Convergence of Vilenkin-Fourier Series in Variable Martingale Hardy Spaces -- 9.1 Introduction -- 9.2 Variable Lebesgue Spaces -- 9.3 Doob's Inequality in Variable Lebesgue Spaces -- 9.4 The Maximal Operator Us -- 9.5 The Maximal Operator Vα,s -- 9.6 Variable Martingale Hardy Spaces. 9.7 Atomic Decomposition of Variable Hardy Spaces -- 9.8 Martingale Inequalities in Variable Spaces -- 9.9 Partial Sums of Vilenkin-Fourier Series in Variable Lebesgue Spaces -- 9.10 The Maximal Fejér Operator on Hp(·) -- 9.11 Final Comments and Open Questions -- 10 Appendix: Dyadic Group and Walsh and Kaczmarz Systems -- 10.1 Introduction -- 10.2 Walsh Group and Walsh and Kaczmarz Systems -- 10.3 Estimates of the Walsh-Fejér Kernels -- 10.4 Walsh-Fejér Means in Hp -- 10.5 Modulus of Continuity in Hp and Walsh-Fejér Means -- 10.6 Riesz and Nörlund Logarithmic Means in Hp -- 10.7 Maximal Operators of Kaczmarz-Fejér Means on Hp -- 10.8 Modulus of Continuity in Hp and Kaczmarz-Fejér Means -- 10.9 Final Comments and Open Questions -- References -- Notations -- Index. |
| Record Nr. | UNINA-9910632485203321 |
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Persson Lars-Erik <1949->
|
||
| Cham, Switzerland : , : Birkhäuser, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Martingale Hardy spaces and summability of one-dimensional Vilenkin-Fourier series / / Lars-Erik Persson, George Tephnadze, Ferenc Weisz
| Martingale Hardy spaces and summability of one-dimensional Vilenkin-Fourier series / / Lars-Erik Persson, George Tephnadze, Ferenc Weisz |
| Autore | Persson Lars-Erik <1949-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2022] |
| Descrizione fisica | 1 online resource (633 pages) |
| Disciplina | 515.2433 |
| Soggetto topico |
Fourier series
Hardy spaces Martingales (Mathematics) Sèries de Fourier Espais de Hardy Martingales (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-14459-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- How to Read the Book? -- Acknowledgements -- Contents -- 1 Partial Sums of Vilenkin-Fourier Series in Lebesgue Spaces -- 1.1 Introduction -- 1.2 Vilenkin Groups and Functions -- 1.3 The Representation of the Vilenkin Groups on the Interval [0,1) -- 1.4 Convex Functions and Classical Inequalities -- 1.5 Lebesgue Spaces -- 1.6 Dirichlet Kernels -- 1.7 Lebesgue Constants -- 1.8 Vilenkin-Fourier Coefficients -- 1.9 Partial Sums -- 1.10 Final Comments and Open Questions -- 2 Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series -- 2.1 Introduction -- 2.2 Conditional Expectation Operators -- 2.3 Martingales and Maximal Functions -- 2.4 Calderon-Zygmund Decomposition -- 2.5 Almost Everywhere Convergence of Vilenkin-Fourier Series -- 2.6 Almost Everywhere Divergence of Vilenkin-Fourier Series -- 2.7 Final Comments and Open Questions -- 3 Vilenkin-Fejér Means and an Approximate Identity in Lebesgue Spaces -- 3.1 Introduction -- 3.2 Vilenkin-Fejér Kernels -- 3.3 Approximation of Vilenkin-Fejér Means -- 3.4 Almost Everywhere Convergence of Vilenkin- Fejér Means -- 3.5 Approximate Identity -- 3.6 Final Comments and Open Questions -- 4 Nörlund and T Means of Vilenkin-Fourier Series in Lebesgue Spaces -- 4.1 Introduction -- 4.2 Well-Known and New Examples of Nörlund and TMeans -- 4.3 Regularity of Nörlund and T Means -- 4.4 Kernels of Nörlund Means -- 4.5 Kernels of T Means -- 4.6 Norm Convergence of Nörlund and T Means in Lebesgue Spaces -- 4.7 Almost Everywhere Convergence of Nörlund and T Means -- 4.8 Convergence of Nörlund and T Means in Vilenkin-Lebesgue Points -- 4.9 Riesz and Nörlund Logarithmic Kernels and Means -- 4.10 Final Comments and Open Questions -- 5 Theory of Martingale Hardy Spaces -- 5.1 Introduction -- 5.2 Martingale Hardy Spaces and Modulus of Continuity.
5.3 Atomic Decomposition of the Martingale Hardy Spaces Hp -- 5.4 Interpolation Between Hardy Spaces Hp -- 5.5 Bounded Operators on Hp Spaces -- 5.6 Examples of p-Atoms and Hp Martingales -- 5.7 Final Comments and Open Questions -- 6 Vilenkin-Fourier Coefficients and Partial Sums in Martingale Hardy Spaces -- 6.1 Introduction -- 6.2 Estimations of Vilenkin-Fourier Coefficients in Hp Spaces -- 6.3 Hardy and Paley Type Inequalities in Hp Spaces -- 6.4 Maximal Operators of Partial Sums on Hp Spaces -- 6.5 Convergence of Partial Sums in Hp Spaces -- 6.6 Convergence of Subsequences of Partial Sums in Hp Spaces -- 6.7 Strong Convergence of Partial Sums in Hp Spaces -- 6.8 Final Comments and Open Questions -- 7 Vilenkin-Fejér Means in Martingale Hardy Spaces -- 7.1 Introduction -- 7.2 Maximal Operator of Vilenkin-Fejér Means on Hp Spaces -- 7.3 Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.4 Convergence of Subsequences of Vilenkin-Fejér Means in Hp Spaces -- 7.5 Strong Convergence of Vilenkin-Fejér Means in Hp Spaces -- 7.6 Final Comments and Open Questions -- 8 Nörlund and T Means of Vilenkin-Fourier Series in Martingale Hardy Spaces -- 8.1 Introduction -- 8.2 Maximal Operators of Nörlund Means on Hp Spaces -- 8.3 Maximal Operators of T Means on Hp Spaces -- 8.4 Strong Convergence of Nörlund Means in Hp Spaces -- 8.5 Strong Convergence of T Means in Hp Spaces -- 8.6 Maximal Operators of Riesz and Nörlund Logarithmic Means on Hp Spaces -- 8.7 Strong Convergence of Riesz and Nörlund Logarithmic Means in Hp Spaces -- 8.8 Final Comments and Open Questions -- 9 Convergence of Vilenkin-Fourier Series in Variable Martingale Hardy Spaces -- 9.1 Introduction -- 9.2 Variable Lebesgue Spaces -- 9.3 Doob's Inequality in Variable Lebesgue Spaces -- 9.4 The Maximal Operator Us -- 9.5 The Maximal Operator Vα,s -- 9.6 Variable Martingale Hardy Spaces. 9.7 Atomic Decomposition of Variable Hardy Spaces -- 9.8 Martingale Inequalities in Variable Spaces -- 9.9 Partial Sums of Vilenkin-Fourier Series in Variable Lebesgue Spaces -- 9.10 The Maximal Fejér Operator on Hp(·) -- 9.11 Final Comments and Open Questions -- 10 Appendix: Dyadic Group and Walsh and Kaczmarz Systems -- 10.1 Introduction -- 10.2 Walsh Group and Walsh and Kaczmarz Systems -- 10.3 Estimates of the Walsh-Fejér Kernels -- 10.4 Walsh-Fejér Means in Hp -- 10.5 Modulus of Continuity in Hp and Walsh-Fejér Means -- 10.6 Riesz and Nörlund Logarithmic Means in Hp -- 10.7 Maximal Operators of Kaczmarz-Fejér Means on Hp -- 10.8 Modulus of Continuity in Hp and Kaczmarz-Fejér Means -- 10.9 Final Comments and Open Questions -- References -- Notations -- Index. |
| Record Nr. | UNISA-996499865803316 |
|
Persson Lars-Erik <1949->
|
||
| Cham, Switzerland : , : Birkhäuser, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko / / Yinqin Li, Dachun Yang, and Long Huang
| Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko / / Yinqin Li, Dachun Yang, and Long Huang |
| Autore | Li Yinqin |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore Pte Ltd., , [2022] |
| Descrizione fisica | 1 online resource (663 pages) |
| Disciplina | 515.2433 |
| Collana | Lecture Notes in Mathematics Series |
| Soggetto topico |
Fourier analysis
Espais de Hardy Anàlisi de Fourier |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-19-6788-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Generalized Herz Spaces of Rafeiro and Samko -- 2 Block Spaces and Their Applications -- 3 Boundedness and Compactness Characterizations of Commutators on Generalized Herz Spaces -- 4 Generalized Herz–Hardy Spaces -- 5 Localized Generalized Herz–Hardy Spaces -- 6 Weak Generalized Herz–Hardy Spaces -- 7 Inhomogeneous Generalized Herz Spaces and Inhomogeneous Block Spaces -- 8 Hardy Spaces Associated with Inhomogeneous Generalized Herz Spaces. |
| Record Nr. | UNINA-9910672436503321 |
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Li Yinqin
|
||
| Singapore : , : Springer Nature Singapore Pte Ltd., , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko / / Yinqin Li, Dachun Yang, and Long Huang
| Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko / / Yinqin Li, Dachun Yang, and Long Huang |
| Autore | Li Yinqin |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore Pte Ltd., , [2022] |
| Descrizione fisica | 1 online resource (663 pages) |
| Disciplina | 515.2433 |
| Collana | Lecture Notes in Mathematics Series |
| Soggetto topico |
Fourier analysis
Espais de Hardy Anàlisi de Fourier |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-19-6788-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Generalized Herz Spaces of Rafeiro and Samko -- 2 Block Spaces and Their Applications -- 3 Boundedness and Compactness Characterizations of Commutators on Generalized Herz Spaces -- 4 Generalized Herz–Hardy Spaces -- 5 Localized Generalized Herz–Hardy Spaces -- 6 Weak Generalized Herz–Hardy Spaces -- 7 Inhomogeneous Generalized Herz Spaces and Inhomogeneous Block Spaces -- 8 Hardy Spaces Associated with Inhomogeneous Generalized Herz Spaces. |
| Record Nr. | UNISA-996511863003316 |
|
Li Yinqin
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| Singapore : , : Springer Nature Singapore Pte Ltd., , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
