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On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2007.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 186, no. 871. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Contents
- Acknowledgements
- Introduction
- Notation
- Chapter 1. Beyond Caldero'n-Zygmund operators
- Chapter 2. Basic L[sup(2)] theory for elliptic operators
- 2.1. Definition
- 2.2. Holomorphic functional calculus on L[sup(2)]
- 2.3. L[sup(2)] off-diagonal estimates
- 2.4. Square root
- 2.5. The conservation property
- Chapter 3. L[sup(P)] theory for the semigroup
- 3.1. Hypercontr activity and uniform boundedness
- 3.2. W[sup(1,p)] elliptic estimates and hypercontr activity
- 3.3. Gradient estimates
- 3.4. Summary
- 3.5. Sharpness issues3.6. Analytic extension
- Chapter 4. L[sup(p)] theory for square roots
- 4.1. Riesz transforms on L[sup(p)]
- 4.2. Reverse inequalities
- 4.3. Invertibility
- 4.4. Applications
- 4.5. Riesz transforms and Hodge decomposition
- Chapter 5. Riesz transforms and functional calculi
- 5.1. Blunck & Kunstmann's theorem
- 5.2. Hardy-Littlewood-Sobolev estimates
- 5.3. The Hardy-Littlewood-Sobolev-Kato diagram
- 5.4. More on the Kato diagram
- Chapter 6. Square function estimates
- 6.1. Necessary and sufficient conditions for boundedness of vertical square functions6.2. On inequalities of Stein and Fefferman for non-tangential square functions
- Chapter 7. Miscellani
- 7.1. Local theory
- 7.2. Higher order operators and systems
- Appendix A. Calderon-Zygmund decomposition for Sobolev functions
- Appendix. Bibliography