| Description |
1 online resource (102 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; Volume 186, Number 871 |
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Memoirs of the American Mathematical Society ; Volume 186, no. 871
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| Contents |
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 |
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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 |
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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 |
| Notes |
"Volume 186, Number 871 (first of five numbers)." |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Singular integrals.
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Littlewood-Paley theory.
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Calderón-Zygmund operator.
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Elliptic operators.
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Semigroups.
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Calderón-Zygmund operator.
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Elliptic operators.
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Littlewood-Paley theory.
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Semigroups.
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Singular integrals.
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| Form |
Electronic book
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| ISBN |
9781470404758 |
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1470404753 |
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