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Dyadic-Probabilistic Methods in Bilinear Analysis
Dyadic-Probabilistic Methods in Bilinear Analysis
Autore Martikainen Henri
Edizione [1st ed.]
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 2022
Descrizione fisica 1 online resource (94 pages)
Disciplina 515/.2433
515.2433
Altri autori (Persone) VuorinenEmil
Collana Memoirs of the American Mathematical Society
Soggetto topico Bilinear forms
Calderón-Zygmund operator
Dyadic analysis (Social sciences)
Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.)
ISBN 9781470469139
1470469138
Classificazione 42B20
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Adapted Cotlar type inequality and testing condition for _{ ,♯} -- Chapter 3. Suppressed bilinear singular integrals -- Chapter 4. The big piece -- Chapter 5. End point estimates -- Chapter 6. Bilinear good lambda method -- Chapter 7. Proof of the main theorem -- Chapter 8. Weakening the kernel estimates: modified Dini-condition -- Chapter 9. Briefly about square functions -- Bibliography -- Back Cover.
Record Nr. UNINA-9910959849703321
Martikainen Henri  
Providence : , : American Mathematical Society, , 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Singular Integrals in Quantum Euclidean Spaces
Singular Integrals in Quantum Euclidean Spaces
Autore González-Pérez Adrían M
Edizione [1st ed.]
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 2021
Descrizione fisica 1 online resource (110 pages)
Disciplina 515/.723
Altri autori (Persone) JungeMarius
ParcetJavier
Collana Memoirs of the American Mathematical Society
Soggetto topico Singular integrals
Calderón-Zygmund operator
Pseudodifferential operators
Noncommutative differential geometry
Lp spaces
Quantum theory
Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.)
Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE
Operator theory -- Integral, integro-differential, and pseudodifferential operators -- Pseudodifferential operators
Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Noncommutative measure and integration
Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- General theory of von Neumann algebras
Quantum theory -- Groups and algebras in quantum theory -- Noncommutative geometry
ISBN 9781470467500
147046750X
Classificazione 42B2042B3747G3046L5146L1081R60
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Quantum Euclidean spaces -- Calderón-Zygmund Lp theory -- Pseudodifferential Lp calculus -- Lp regularity for elliptic PDEs.
Record Nr. UNINA-9910975326203321
González-Pérez Adrían M  
Providence : , : American Mathematical Society, , 2021
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui