On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates / / Pascal Auscher
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| Autore: |
Auscher Pascal
|
| Titolo: |
On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates / / Pascal Auscher
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| ©2007 | |
| Descrizione fisica: | 1 online resource (102 p.) |
| Disciplina: | 515/.23 |
| Soggetto topico: | Singular integrals |
| Littlewood-Paley theory | |
| Calderón-Zygmund operator | |
| Elliptic operators | |
| Semigroups | |
| Classificazione: | 31.46 |
| Note generali: | "Volume 186, Number 871 (first of five numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""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 issues""""3.6. 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 functions""""6.2. 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"" | |
| Titolo autorizzato: | On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates |
| ISBN: | 1-4704-0475-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788743403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 186, Number 871.