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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 Visualizza persona
Titolo: On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates / / Pascal Auscher Visualizza cluster
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  Visualizza cluster
ISBN: 1-4704-0475-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910828649203321
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Serie: Memoirs of the American Mathematical Society ; ; Volume 186, Number 871.
On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates / / Pascal Auscher
Auscher Pascal
A new approach to the local embedding theorem of CR-structures for n [greater than or equal to] 4 (the local solvability for the operator [overbarred partial] B in the abstract sense) / / Takao Akahori
Akahori Takao <1949->
A new approach to the local embedding theorem of CR-structures for n [greater than or equal to] 4 (the local solvability for the operator [overbarred partial] B in the abstract sense) / / Takao Akahori
Akahori Takao <1949->
On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates / / Pascal Auscher
Auscher Pascal
A new approach to the local embedding theorem of CR-structures for n [greater than or equal to] 4 (the local solvability for the operator [overbarred partial] B in the abstract sense) / / Takao Akahori
Akahori Takao <1949->