On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates / / Pascal Auscher |
Autore | Auscher Pascal |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (102 p.) |
Disciplina | 515/.23 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Singular integrals
Littlewood-Paley theory Calderón-Zygmund operator Elliptic operators Semigroups |
ISBN | 1-4704-0475-3 |
Classificazione | 31.46 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910788743403321 |
Auscher Pascal
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Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Autore | Auscher Pascal |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (102 p.) |
Disciplina | 515/.23 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Singular integrals
Littlewood-Paley theory Calderón-Zygmund operator Elliptic operators Semigroups |
ISBN | 1-4704-0475-3 |
Classificazione | 31.46 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910828649203321 |
Auscher Pascal
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Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Selected preserver problems on algebraic structures of linear operators and on function spaces / / L. Molnár |
Autore | Molnár L (Lajos) |
Edizione | [1st ed. 2007.] |
Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer, , [2007] |
Descrizione fisica | 1 online resource (242 p.) |
Disciplina | 511.33 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Linear operators
Operator algebras Ordered algebraic structures Function spaces |
ISBN |
1-280-70197-8
9786610701971 3-540-39946-1 |
Classificazione |
31.46
31.81 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Some Linear and Multiplicative Preserver Problems on Operator Algebras and Function Algebras -- Preservers on Quantum Structures -- Local Automorphisms and Local Isometries of Operator Algebras and Function Algebras. |
Record Nr. | UNINA-9910484123803321 |
Molnár L (Lajos)
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Berlin, Germany ; ; New York, New York : , : Springer, , [2007] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Selected preserver problems on algebraic structures of linear operators and on function spaces / / L. Molnár |
Autore | Molnár L (Lajos) |
Edizione | [1st ed. 2007.] |
Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer, , [2007] |
Descrizione fisica | 1 online resource (242 p.) |
Disciplina | 511.33 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Linear operators
Operator algebras Ordered algebraic structures Function spaces |
ISBN |
1-280-70197-8
9786610701971 3-540-39946-1 |
Classificazione |
31.46
31.81 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Some Linear and Multiplicative Preserver Problems on Operator Algebras and Function Algebras -- Preservers on Quantum Structures -- Local Automorphisms and Local Isometries of Operator Algebras and Function Algebras. |
Record Nr. | UNISA-996466654403316 |
Molnár L (Lajos)
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Berlin, Germany ; ; New York, New York : , : Springer, , [2007] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Stable Approximate Evaluation of Unbounded Operators [[electronic resource] /] / by Charles W. Groetsch |
Autore | Groetsch Charles W |
Edizione | [1st ed. 2007.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2007 |
Descrizione fisica | 1 online resource (133 p.) |
Disciplina | 515.7246 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Operator theory
Numerical analysis Operator Theory Numerical Analysis |
ISBN |
1-280-70079-3
9786610700790 3-540-39943-7 |
Classificazione |
31.46
MAT 470f SI 850 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Some Problems Leading to Unbounded Operators -- Hilbert Space Background -- A General Approach to Stabilization -- The Tikhonov-Morozov Method -- Finite-Dimensional Approximations. |
Record Nr. | UNISA-996466664603316 |
Groetsch Charles W
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2007 | ||
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Lo trovi qui: Univ. di Salerno | ||
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Stable Approximate Evaluation of Unbounded Operators / / by Charles W. Groetsch |
Autore | Groetsch Charles W |
Edizione | [1st ed. 2007.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2007 |
Descrizione fisica | 1 online resource (133 p.) |
Disciplina | 515.7246 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Operator theory
Numerical analysis Operator Theory Numerical Analysis |
ISBN |
1-280-70079-3
9786610700790 3-540-39943-7 |
Classificazione |
31.46
MAT 470f SI 850 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Some Problems Leading to Unbounded Operators -- Hilbert Space Background -- A General Approach to Stabilization -- The Tikhonov-Morozov Method -- Finite-Dimensional Approximations. |
Record Nr. | UNINA-9910483206803321 |
Groetsch Charles W
![]() |
||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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