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On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Auscher, Pascal (Autor)
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

MARC

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100 1 |a Auscher, Pascal,  |e author. 
245 1 0 |a On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates /  |c Pascal Auscher. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2007. 
264 4 |c ©2007 
300 |a 1 online resource (102 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v Volume 186, Number 871 
500 |a "Volume 186, Number 871 (first of five numbers)." 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |a 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 
505 8 |a 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 
505 8 |a 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 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Singular integrals. 
650 0 |a Littlewood-Paley theory. 
650 0 |a Calderón-Zygmund operator. 
650 0 |a Elliptic operators. 
650 0 |a Semigroups. 
650 6 |a Intégrales singulières. 
650 6 |a Théorie de Littlewood-Paley. 
650 6 |a Opérateur de Calderón-Zygmund. 
650 6 |a Opérateurs elliptiques. 
650 6 |a Semi-groupes. 
650 7 |a Calderón-Zygmund operator  |2 fast 
650 7 |a Elliptic operators  |2 fast 
650 7 |a Littlewood-Paley theory  |2 fast 
650 7 |a Semigroups  |2 fast 
650 7 |a Singular integrals  |2 fast 
776 0 8 |i Print version:  |a Auscher, Pascal.  |t On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates.  |d Providence, Rhode Island : American Mathematical Society, ©2007  |h xviii, 75 pages  |k Memoirs of the American Mathematical Society ; Volume 186, Number 871  |x 0065-9266  |z 9780821839416 
830 0 |a Memoirs of the American Mathematical Society ;  |v Volume 186, no. 871. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114228  |z Texto completo 
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