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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
| 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 |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0475-3 |
| 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-9910480391803321 |
Auscher Pascal
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates / / Pascal Auscher
| 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
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates / / Pascal Auscher
| 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
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Riesz transform of codimension smaller than one and the Wolff energy / / Benjamin Jaye [and three others]
| The Riesz transform of codimension smaller than one and the Wolff energy / / Benjamin Jaye [and three others] |
| Autore | Jaye Benjamin <1984-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (110 pages) |
| Disciplina | 515.73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Harmonic analysis
Calderón-Zygmund operator Laplacian operator Lipschitz spaces Potential theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-6249-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480440003321 |
|
Jaye Benjamin <1984->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Riesz transform of codimension smaller than one and the Wolff energy / / Benjamin Jaye [and three others]
| The Riesz transform of codimension smaller than one and the Wolff energy / / Benjamin Jaye [and three others] |
| Autore | Jaye Benjamin <1984-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (110 pages) |
| Disciplina | 515.73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Harmonic analysis
Calderón-Zygmund operator Laplacian operator Lipschitz spaces Potential theory (Mathematics) |
| ISBN | 1-4704-6249-4 |
| Classificazione | 42B3731B15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The general scheme : finding a large Lipschitz oscillation coefficient -- Upward and downward domination -- Preliminary results regarding reflectionless measures -- The basic energy estimates -- Blow up I : The density drop -- The choice of the shell -- Blow up II : doing away with [epsilon] -- Localization around the shell -- The scheme -- Suppressed kernels -- Step I : Calderón-Zygmund theory (from a distribution to an Lp-function) -- Step II : The smoothing operation -- Step III : The variational argument -- Contradiction. |
| Record Nr. | UNINA-9910794335703321 |
|
Jaye Benjamin <1984->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Riesz transform of codimension smaller than one and the Wolff energy / / Benjamin Jaye [and three others]
| The Riesz transform of codimension smaller than one and the Wolff energy / / Benjamin Jaye [and three others] |
| Autore | Jaye Benjamin <1984-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (110 pages) |
| Disciplina | 515.73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Harmonic analysis
Calderón-Zygmund operator Laplacian operator Lipschitz spaces Potential theory (Mathematics) |
| ISBN | 1-4704-6249-4 |
| Classificazione | 42B3731B15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The general scheme : finding a large Lipschitz oscillation coefficient -- Upward and downward domination -- Preliminary results regarding reflectionless measures -- The basic energy estimates -- Blow up I : The density drop -- The choice of the shell -- Blow up II : doing away with [epsilon] -- Localization around the shell -- The scheme -- Suppressed kernels -- Step I : Calderón-Zygmund theory (from a distribution to an Lp-function) -- Step II : The smoothing operation -- Step III : The variational argument -- Contradiction. |
| Record Nr. | UNINA-9910813548203321 |
|
Jaye Benjamin <1984->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
