Harmonic analysis, partial differential equations and applications in honor of Richard L. Wheeden /
This is a collection of contributed papers by many eminent Harmonic Analysts and specialists of Partial Differential equations. The papers focus on weighted norm equalities for singular integrals, focusing wave equations, degenerate elliptic equations, Navier-Stokes flow in two dimensions and Poinca...
| Other Authors: | Chanillo, Sagun, 1955-, Franchi, Bruno (Mathematician), Lu, Guozhen,, Pérez, Carlos,, Sawyer, E. T. 1951-, Wheeden, Richard L.,, SpringerLink (Online service) |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Birkhäuser,
2017.
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| Physical Description: |
1 online resource. |
| Series: |
Applied and numerical harmonic analysis.
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| Subjects: |
| Summary: |
This is a collection of contributed papers by many eminent Harmonic Analysts and specialists of Partial Differential equations. The papers focus on weighted norm equalities for singular integrals, focusing wave equations, degenerate elliptic equations, Navier-Stokes flow in two dimensions and Poincare-Sobolev inequalities in the setting of metric spaces equipped with measures among others. Many topics considered in this volume stem from the interests of Richard L. Wheeden whose contributions to Potential Theory, singular integral theory and degenerate elliptic PDE theory this volume honors. Luis Caffarelli, Sagun Chanillo, Bruno Franchi, Cristian Guttierez, Xiaojun Huang, Carlos Kenig, Ermanno Lanconelli, Eric Sawyer and Alexander Volberg, are some of the many contributors to this volume. |
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| Item Description: |
880-01 Preface; 1 Potential Theory and Weighted Norm Inequalities for Singular Integrals; 1.1 Singular Integrals and Weighted Inequalities; 2 Degenerate Elliptic Equations, Subelliptic Operators, and Monge-Ampére Equations; 2.1 Two Weight Norm Inequalities for Fractional Integrals; 2.2 Fefferman-Phong and Hörmander Regularity; 2.3 The Monge-Ampére Equation; 3 Papers by Richard Wheeden Referred to in the Preface; References; 4 Other Papers Referred to in the Preface; References; Contents; On Some Pointwise Inequalities Involving Nonlocal Operators; 1 Introduction; 2 Some New Inequalities. 2.1 A Pointwise Inequality for Nonlocal Operators in Non-divergence Form2.2 The Case of Translation Invariant Kernels; 2.3 Some Integral Operators on Geometric Spaces; 2.3.1 The Case of Lie Groups; 2.3.2 The Case of Manifolds; 3 A Review of the Extension Property; 3.1 The Extension Property in Rn; 3.2 The Extension Property in Bounded Domains; 3.3 The Extension Property in General Frameworks; 4 Proofs of Theorems 1.1 and 1.2; 4.1 Proof of Theorem 1.1; 4.2 Proof of Theorem 1.2; 4.3 The Results in Bounded Domains; 5 Geometric Ambient Spaces; 5.1 The Case of Manifolds; 5.2 The Case of Lie Groups. Form-Invariance of Maxwell Equations in Integral Form1 Introduction; 2 Maxwell Equations; 2.1 Maxwell Equations in Integral Form; 3 Changes of Coordinates; 4 Invariance Properties of (5)-(8); 4.1 Invariance of (5) and (6) by Changes of Coordinates; 4.2 Invariance of (7) and (8) by Changes of Coordinates; 4.3 Conclusion; References; Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics; 1 Introduction; 2 Chern-Moser-Weyl Tensor for a Levi Non-degenerate Hypersurface ; 3 Transformation Law for the Chern-Moser-Weyl Tensor; 4 A Monotonicity Theorem for the Chern-Moser-Weyl Tensor. 5 Counter-Examples to the Embeddability Problem for Compact Algebraic Levi Non-degenerate Hypersurfaces with Positive Signature into Hyperquadrics6 Non-embeddability of Compact Strongly Pseudo-Convex Real Algebraic Hypersurfaces into Spheres; References; The Focusing Energy-Critical Wave Equation; References; Densities with the Mean Value Property for Sub-Laplacians: An Inverse Problem; 1 Introduction; 2 Sub-Laplacians and Related Triples; 3 Results on the Inverse Problem for L; 4 Proofs of the Results on the Inverse Problem; Appendix: L-Superharmonic Functions; References. Includes bibliographical references. This is a collection of contributed papers by many eminent Harmonic Analysts and specialists of Partial Differential equations. The papers focus on weighted norm equalities for singular integrals, focusing wave equations, degenerate elliptic equations, Navier-Stokes flow in two dimensions and Poincare-Sobolev inequalities in the setting of metric spaces equipped with measures among others. Many topics considered in this volume stem from the interests of Richard L. Wheeden whose contributions to Potential Theory, singular integral theory and degenerate elliptic PDE theory this volume honors. Luis Caffarelli, Sagun Chanillo, Bruno Franchi, Cristian Guttierez, Xiaojun Huang, Carlos Kenig, Ermanno Lanconelli, Eric Sawyer and Alexander Volberg, are some of the many contributors to this volume. |
| Physical Description: |
1 online resource. |
| Bibliography: |
Includes bibliographical references. |
| ISBN: |
9783319527420 3319527428 |