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Biblioteca

MARC Lista (tabellare)
Advances in harmonic analysis and partial differential equations : AMS special session on Harmonic Analysis and Partial Differential Equations, April 21-22, 2018, Northeastern University, Boston, MA / / Donatella Danielli, Irina Mitrea, editors
Advances in harmonic analysis and partial differential equations : AMS special session on Harmonic Analysis and Partial Differential Equations, April 21-22, 2018, Northeastern University, Boston, MA / / Donatella Danielli, Irina Mitrea, editors
Autore Danielli Donatella <1966->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2020]
Descrizione fisica 1 online resource (212 pages)
Disciplina 515.2433
Collana Contemporary mathematics
Soggetto topico Harmonic analysis
Differential equations, Partial
ISBN 1-4704-5516-1
Classificazione 31A1033C1035G2035P2035S0539B7242B3546E3076D0378A05
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910794062203321
Danielli Donatella <1966->  
Providence, Rhode Island : , : American Mathematical Society, , [2020]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advances in harmonic analysis and partial differential equations : AMS special session on Harmonic Analysis and Partial Differential Equations, April 21-22, 2018, Northeastern University, Boston, MA / / Donatella Danielli, Irina Mitrea, editors
Advances in harmonic analysis and partial differential equations : AMS special session on Harmonic Analysis and Partial Differential Equations, April 21-22, 2018, Northeastern University, Boston, MA / / Donatella Danielli, Irina Mitrea, editors
Autore Danielli Donatella <1966->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2020]
Descrizione fisica 1 online resource (212 pages)
Disciplina 515.2433
Collana Contemporary mathematics
Soggetto topico Harmonic analysis
Differential equations, Partial
ISBN 1-4704-5516-1
Classificazione 31A1033C1035G2035P2035S0539B7242B3546E3076D0378A05
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910808279303321
Danielli Donatella <1966->  
Providence, Rhode Island : , : American Mathematical Society, , [2020]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advances in harmonic analysis and partial differential equations : AMS special session on Harmonic Analysis and Partial Differential Equations, April 21-22, 2018, Northeastern University, Boston, MA / / Donatella Danielli, Irina Mitrea, editors
Advances in harmonic analysis and partial differential equations : AMS special session on Harmonic Analysis and Partial Differential Equations, April 21-22, 2018, Northeastern University, Boston, MA / / Donatella Danielli, Irina Mitrea, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2020]
Descrizione fisica 1 online resource (212 pages)
Disciplina 515.2433
Collana Contemporary mathematics
Soggetto topico Harmonic analysis
Differential equations, Partial
Soggetto genere / forma Electronic books.
ISBN 1-4704-5516-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910480771403321
Providence, Rhode Island : , : American Mathematical Society, , [2020]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometric harmonic analysis II : function spaces measuring size and smoothness on rough sets / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Geometric harmonic analysis II : function spaces measuring size and smoothness on rough sets / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Autore Mitrea Dorina
Edizione [1st ed. 2022.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022]
Descrizione fisica 1 online resource (938 pages)
Disciplina 780
Collana Developments in Mathematics
Soggetto topico Mathematics
Anàlisi harmònica
Soggetto genere / forma Llibres electrònics
ISBN 3-031-13718-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Preliminary Functional Analytic Matters -- 2 Abstract Fredholm Theory -- 3 Functions of Vanishing Mean Oscillations and Vanishing Hölder Moduli -- 4 Hardy Spaces on Ahlfors Regular Sets -- 5 Banach Function Spaces, Extrapolation, and Orlicz Spaces -- 6 Morrey-Campanato Spaces, Morrey Spaces, and Their Pre-Duals on Ahlfors Regular Sets -- 7 Besov and Triebel-Lizorkin Spaces on Ahlfors Regular Sets -- 8 Boundary Traces from Weighted Sobolev Spaces into Besov Spaces -- 9 Besov and Triebel-Lizorkin Spaces in Open Sets -- 10 Strong and Weak Normal Boundary Traces of Vector Fields in Hardy and Morrey Spaces -- 11 Sobolev Spaces on the Geometric Measure Theoretic Boundary of Sets of Locally Finite Perimeter -- A. Terms and Notation Used in Volume II. References -- Index.
Record Nr. UNINA-9910678241703321
Mitrea Dorina  
Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometric harmonic analysis II : function spaces measuring size and smoothness on rough sets / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Geometric harmonic analysis II : function spaces measuring size and smoothness on rough sets / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Autore Mitrea Dorina
Edizione [1st ed. 2022.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022]
Descrizione fisica 1 online resource (938 pages)
Disciplina 780
Collana Developments in Mathematics
Soggetto topico Mathematics
Anàlisi harmònica
Soggetto genere / forma Llibres electrònics
ISBN 3-031-13718-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Preliminary Functional Analytic Matters -- 2 Abstract Fredholm Theory -- 3 Functions of Vanishing Mean Oscillations and Vanishing Hölder Moduli -- 4 Hardy Spaces on Ahlfors Regular Sets -- 5 Banach Function Spaces, Extrapolation, and Orlicz Spaces -- 6 Morrey-Campanato Spaces, Morrey Spaces, and Their Pre-Duals on Ahlfors Regular Sets -- 7 Besov and Triebel-Lizorkin Spaces on Ahlfors Regular Sets -- 8 Boundary Traces from Weighted Sobolev Spaces into Besov Spaces -- 9 Besov and Triebel-Lizorkin Spaces in Open Sets -- 10 Strong and Weak Normal Boundary Traces of Vector Fields in Hardy and Morrey Spaces -- 11 Sobolev Spaces on the Geometric Measure Theoretic Boundary of Sets of Locally Finite Perimeter -- A. Terms and Notation Used in Volume II. References -- Index.
Record Nr. UNISA-996518465003316
Mitrea Dorina  
Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Geometric Harmonic Analysis III : Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea
Geometric Harmonic Analysis III : Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea
Autore Mitrea Dorina <1965->
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (980 pages)
Disciplina 515.4
Collana Developments in Mathematics
Soggetto topico Mathematical analysis
Integral Transforms and Operational Calculus
Teoria de la mesura geomètrica
Soggetto genere / forma Llibres electrònics
Soggetto non controllato Mathematics
ISBN 9783031227356
9783031227349
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.
Record Nr. UNINA-9910725088003321
Mitrea Dorina <1965->  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometric Harmonic Analysis IV : Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea
Geometric Harmonic Analysis IV : Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea
Autore Mitrea Dorina
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (1004 pages)
Disciplina 515.42
Altri autori (Persone) MitreaIrina
MitreaMarius
Collana Developments in Mathematics
Soggetto topico Mathematical analysis
Integral Transforms and Operational Calculus
Teoria de la mesura geomètrica
Àlgebra vectorial
Capa límit
Soggetto genere / forma Llibres electrònics
ISBN 3-031-29179-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.
Record Nr. UNINA-9910734861203321
Mitrea Dorina  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometric Harmonic Analysis V [[electronic resource] ] : Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea
Geometric Harmonic Analysis V [[electronic resource] ] : Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea
Autore Mitrea Dorina <1965->
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (1006 pages)
Disciplina 515.42
Collana Developments in Mathematics
Soggetto topico Mathematical analysis
Integral Transforms and Operational Calculus
ISBN 3-031-31561-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.
Record Nr. UNINA-9910741186503321
Mitrea Dorina <1965->  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometric harmonic analysis, I : a sharp divergence theorem with nontangential pointwise traces / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Geometric harmonic analysis, I : a sharp divergence theorem with nontangential pointwise traces / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Autore Mitrea Dorina
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (940 pages)
Disciplina 620.00151
Collana Developments in Mathematics
Soggetto topico Divergence theorem
Functional analysis
Anàlisi funcional
Soggetto genere / forma Llibres electrònics
ISBN 3-031-05950-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Prefacing the Full Series -- Acknowledgements -- Description of Volume I -- Contents -- Compendium of Notation Used in Volume I -- 1 Statement of Main Results Concerning the Divergence Theorem -- 1.1 The De Giorgi-Federer Version of the Divergence Theorem -- 1.2 The Case When the Divergence Is Absolutely Integrable -- 1.3 The Case Without Decay and When the Divergence Is a Measure -- 1.4 The Divergence Theorem for Singular Vector Fields Without Decay -- 1.5 Non-doubling Surface Measures and Maximally Singular Vector Fields -- 1.6 Divergence Formulas Without Lower Ahlfors Regularity -- 1.7 Integration by Parts in Open Sets with Ahlfors Regular Boundaries -- 1.8 Higher-Order Integration by Parts -- 1.9 The Divergence Theorem with Weak Boundary Traces -- 1.10 The Divergence Theorem Involving an Averaged Nontangential Maximal Operator -- 1.11 The Manifold Setting and a Sharp Version of Stokes' Formula -- 1.12 Integrating by Parts on Boundaries of Ahlfors Regular Domains on Manifolds -- 2 Examples, Counterexamples, and Additional Perspectives -- 2.1 Failure of Hypotheses on the Nontangential Boundary Trace -- 2.2 Failure of Hypotheses on Behavior at Infinity -- 2.3 Failure of Hypotheses on the Nontangential Maximal Function -- 2.4 Failure of Hypotheses of Geometric Measure Theoretic Nature -- 2.5 Failure of Hypotheses on the Nature of the Divergence of the Vector Field -- 2.6 Relationship with Classical Results in the One-Dimensional Setting -- 2.7 Examples and Counterexamples Pertaining to Weak Traces -- 2.8 Other Versions of the Gauss-Green Formula -- 3 Measure Theoretical and Topological Rudiments -- 3.1 Sigma-Algebras, Measures, Lebesgue Spaces -- 3.2 The Topology on the Space of Measurable Functions -- 3.3 Outer Measures -- 3.4 Borel-Regular Measure and Outer Measures -- 3.5 Radon Measures -- 3.6 Separable Measures.
3.7 Density Results for Lebesgue Spaces -- 3.8 The Support of a Measure -- 3.9 The Riesz Representation Theorem -- 4 Selected Topics in Distribution Theory -- 4.1 Distribution Theory on Arbitrary Sets -- 4.2 The Bullet Product -- 4.3 The Product Rule for Weak Derivatives -- 4.4 Pointwise Divergence Versus Distributional Divergence -- 4.5 Removability of Singularities for Distributional Derivatives -- 4.6 The Algebraic Dual of the Space of Smooth and Bounded Functions -- 4.7 The Contribution at Infinity of a Vector Field -- 5 Sets of Locally Finite Perimeter and Other Categories of Euclidean Sets -- 5.1 Thick Sets and Corkscrew Conditions -- 5.2 The Geometric Measure Theoretic Boundary -- 5.3 Area/Coarea Formulas, and Countable Rectifiability -- 5.4 Approximate Tangent Planes -- 5.5 Functions of Bounded Variation -- 5.6 Sets of Locally Finite Perimeter -- 5.7 Sets of Finite Perimeter -- 5.8 Planar Curves -- 5.9 Ahlfors Regular Sets -- 5.10 Uniformly Rectifiable Sets -- 5.11 Nontangentially Accessible Domains -- 6 Tools from Harmonic Analysis -- 6.1 The Regularized Distance Function and Whitney's Extension Theorem -- 6.2 Short Foray into Lorentz Spaces -- 6.3 The Fractional Hardy-Littlewood Maximal Operator in a Non-Metric Setting -- 6.4 Clifford Algebra Fundamentals -- 6.5 Subaveraging Functions, Reverse Hölder Estimates, and Interior Estimates -- 6.6 The Solid Maximal Function and Maximal Lebesgue Spaces -- 7 Quasi-Metric Spaces and Spaces of Homogeneous Type -- 7.1 Quasi-Metric Spaces and a Sharp Metrization Result -- 7.2 Estimating Integrals Involving the Quasi-Distance -- 7.3 Hölder Spaces on Quasi-Metric Spaces -- 7.4 Functions of Bounded Mean Oscillations on Spaces of Homogeneous Type -- 7.5 Whitney Decompositions on Geometrically Doubling Quasi-Metric Spaces -- 7.6 The Hardy-Littlewood Maximal Operator on Spaces of Homogeneous Type.
7.7 Muckenhoupt Weights on Spaces of Homogeneous Type -- 7.8 The Fractional Integration Theorem -- 8 Open Sets with Locally Finite Surface Measures and Boundary Behavior -- 8.1 Nontangential Approach Regions in Arbitrary Open Sets -- 8.2 The Definition and Basic Properties of the Nontangential Maximal Operator -- 8.3 Elementary Estimates Involving the Nontangential Maximal Operator -- 8.4 Size Estimates for the Nontangential Maximal Operator Involving a Doubling Measure -- 8.5 Maximal Operators: Tangential Versus Nontangential -- 8.6 Off-Diagonal Carleson Measure Estimates of Reverse Hölder Type -- 8.7 Estimates for Marcinkiewicz Type Integrals and Applications -- 8.8 The Nontangentially Accessible Boundary -- 8.9 The Nontangential Boundary Trace Operator -- 8.10 The Averaged Nontangential Maximal Operator -- 9 Proofs of Main Results Pertaining to Divergence Theorem -- 9.1 Proofs of Theorems 1.2.1 and 1.3.1 and Corollaries 1.2.2, 1.2.4, and 1.3.2 -- 9.2 Proof of Theorem 1.4.1 and Corollaries 1.4.2-1.4.4 -- 9.3 Proofs of Theorem 1.5.1 and Corollary 1.5.2 -- 9.4 Proofs of Theorem 1.6.1 and Corollaries 1.6.2-1.6.6 -- 9.5 Proofs of Theorems 1.7.1, 1.7.2, and 1.7.6 -- 9.6 Proofs of Theorems 1.8.2, 1.8.3, and 1.8.5 -- 9.7 Proofs of Theorems 1.9.1-1.9.4 -- 9.8 Proof of Theorem 1.10.1 -- 9.9 Proofs of Theorems 1.11.3, 1.11.6, and 1.11.8-1.11.11 -- Appendix References -- -- Appendix Subject Index -- Index -- Appendix Symbol Index -- Symbol Index.
Record Nr. UNISA-996499872303316
Mitrea Dorina  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Geometric harmonic analysis, I : a sharp divergence theorem with nontangential pointwise traces / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Geometric harmonic analysis, I : a sharp divergence theorem with nontangential pointwise traces / / Dorina Mitrea, Irina Mitrea, and Marius Mitrea
Autore Mitrea Dorina
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (940 pages)
Disciplina 620.00151
Collana Developments in Mathematics
Soggetto topico Divergence theorem
Functional analysis
Anàlisi funcional
Soggetto genere / forma Llibres electrònics
ISBN 3-031-05950-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Prefacing the Full Series -- Acknowledgements -- Description of Volume I -- Contents -- Compendium of Notation Used in Volume I -- 1 Statement of Main Results Concerning the Divergence Theorem -- 1.1 The De Giorgi-Federer Version of the Divergence Theorem -- 1.2 The Case When the Divergence Is Absolutely Integrable -- 1.3 The Case Without Decay and When the Divergence Is a Measure -- 1.4 The Divergence Theorem for Singular Vector Fields Without Decay -- 1.5 Non-doubling Surface Measures and Maximally Singular Vector Fields -- 1.6 Divergence Formulas Without Lower Ahlfors Regularity -- 1.7 Integration by Parts in Open Sets with Ahlfors Regular Boundaries -- 1.8 Higher-Order Integration by Parts -- 1.9 The Divergence Theorem with Weak Boundary Traces -- 1.10 The Divergence Theorem Involving an Averaged Nontangential Maximal Operator -- 1.11 The Manifold Setting and a Sharp Version of Stokes' Formula -- 1.12 Integrating by Parts on Boundaries of Ahlfors Regular Domains on Manifolds -- 2 Examples, Counterexamples, and Additional Perspectives -- 2.1 Failure of Hypotheses on the Nontangential Boundary Trace -- 2.2 Failure of Hypotheses on Behavior at Infinity -- 2.3 Failure of Hypotheses on the Nontangential Maximal Function -- 2.4 Failure of Hypotheses of Geometric Measure Theoretic Nature -- 2.5 Failure of Hypotheses on the Nature of the Divergence of the Vector Field -- 2.6 Relationship with Classical Results in the One-Dimensional Setting -- 2.7 Examples and Counterexamples Pertaining to Weak Traces -- 2.8 Other Versions of the Gauss-Green Formula -- 3 Measure Theoretical and Topological Rudiments -- 3.1 Sigma-Algebras, Measures, Lebesgue Spaces -- 3.2 The Topology on the Space of Measurable Functions -- 3.3 Outer Measures -- 3.4 Borel-Regular Measure and Outer Measures -- 3.5 Radon Measures -- 3.6 Separable Measures.
3.7 Density Results for Lebesgue Spaces -- 3.8 The Support of a Measure -- 3.9 The Riesz Representation Theorem -- 4 Selected Topics in Distribution Theory -- 4.1 Distribution Theory on Arbitrary Sets -- 4.2 The Bullet Product -- 4.3 The Product Rule for Weak Derivatives -- 4.4 Pointwise Divergence Versus Distributional Divergence -- 4.5 Removability of Singularities for Distributional Derivatives -- 4.6 The Algebraic Dual of the Space of Smooth and Bounded Functions -- 4.7 The Contribution at Infinity of a Vector Field -- 5 Sets of Locally Finite Perimeter and Other Categories of Euclidean Sets -- 5.1 Thick Sets and Corkscrew Conditions -- 5.2 The Geometric Measure Theoretic Boundary -- 5.3 Area/Coarea Formulas, and Countable Rectifiability -- 5.4 Approximate Tangent Planes -- 5.5 Functions of Bounded Variation -- 5.6 Sets of Locally Finite Perimeter -- 5.7 Sets of Finite Perimeter -- 5.8 Planar Curves -- 5.9 Ahlfors Regular Sets -- 5.10 Uniformly Rectifiable Sets -- 5.11 Nontangentially Accessible Domains -- 6 Tools from Harmonic Analysis -- 6.1 The Regularized Distance Function and Whitney's Extension Theorem -- 6.2 Short Foray into Lorentz Spaces -- 6.3 The Fractional Hardy-Littlewood Maximal Operator in a Non-Metric Setting -- 6.4 Clifford Algebra Fundamentals -- 6.5 Subaveraging Functions, Reverse Hölder Estimates, and Interior Estimates -- 6.6 The Solid Maximal Function and Maximal Lebesgue Spaces -- 7 Quasi-Metric Spaces and Spaces of Homogeneous Type -- 7.1 Quasi-Metric Spaces and a Sharp Metrization Result -- 7.2 Estimating Integrals Involving the Quasi-Distance -- 7.3 Hölder Spaces on Quasi-Metric Spaces -- 7.4 Functions of Bounded Mean Oscillations on Spaces of Homogeneous Type -- 7.5 Whitney Decompositions on Geometrically Doubling Quasi-Metric Spaces -- 7.6 The Hardy-Littlewood Maximal Operator on Spaces of Homogeneous Type.
7.7 Muckenhoupt Weights on Spaces of Homogeneous Type -- 7.8 The Fractional Integration Theorem -- 8 Open Sets with Locally Finite Surface Measures and Boundary Behavior -- 8.1 Nontangential Approach Regions in Arbitrary Open Sets -- 8.2 The Definition and Basic Properties of the Nontangential Maximal Operator -- 8.3 Elementary Estimates Involving the Nontangential Maximal Operator -- 8.4 Size Estimates for the Nontangential Maximal Operator Involving a Doubling Measure -- 8.5 Maximal Operators: Tangential Versus Nontangential -- 8.6 Off-Diagonal Carleson Measure Estimates of Reverse Hölder Type -- 8.7 Estimates for Marcinkiewicz Type Integrals and Applications -- 8.8 The Nontangentially Accessible Boundary -- 8.9 The Nontangential Boundary Trace Operator -- 8.10 The Averaged Nontangential Maximal Operator -- 9 Proofs of Main Results Pertaining to Divergence Theorem -- 9.1 Proofs of Theorems 1.2.1 and 1.3.1 and Corollaries 1.2.2, 1.2.4, and 1.3.2 -- 9.2 Proof of Theorem 1.4.1 and Corollaries 1.4.2-1.4.4 -- 9.3 Proofs of Theorem 1.5.1 and Corollary 1.5.2 -- 9.4 Proofs of Theorem 1.6.1 and Corollaries 1.6.2-1.6.6 -- 9.5 Proofs of Theorems 1.7.1, 1.7.2, and 1.7.6 -- 9.6 Proofs of Theorems 1.8.2, 1.8.3, and 1.8.5 -- 9.7 Proofs of Theorems 1.9.1-1.9.4 -- 9.8 Proof of Theorem 1.10.1 -- 9.9 Proofs of Theorems 1.11.3, 1.11.6, and 1.11.8-1.11.11 -- Appendix References -- -- Appendix Subject Index -- Index -- Appendix Symbol Index -- Symbol Index.
Record Nr. UNINA-9910629292003321
Mitrea Dorina  
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui