Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces / / Y. S. Han, E. T. Sawyer
| Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces / / Y. S. Han, E. T. Sawyer |
| Autore | Han Yongsheng |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Littlewood-Paley theory
Multipliers (Mathematical analysis) Hardy spaces Function spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0109-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â1. Introduction""; ""Â2. T[sup(â€?1)][sub(N)] is a Calderónâ€?Zygmund operator""; ""Â3. The Calderónâ€?type reproducing formula on spaces of homogeneous type""; ""Â4. The Besov and Triebelâ€?Lizorkin spaces on spaces of homogeneous type""; ""Â5. The T1 theorems for B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â6. Atomic decomposition of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â7. Duality and interpolation of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""References"" |
| Record Nr. | UNINA-9910480611803321 |
Han Yongsheng
|
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| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Lo trovi qui: Univ. Federico II | ||
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Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces / / Y. S. Han, E. T. Sawyer
| Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces / / Y. S. Han, E. T. Sawyer |
| Autore | Han Yongsheng |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Littlewood-Paley theory
Multipliers (Mathematical analysis) Hardy spaces Function spaces |
| ISBN | 1-4704-0109-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â1. Introduction""; ""Â2. T[sup(â€?1)][sub(N)] is a Calderónâ€?Zygmund operator""; ""Â3. The Calderónâ€?type reproducing formula on spaces of homogeneous type""; ""Â4. The Besov and Triebelâ€?Lizorkin spaces on spaces of homogeneous type""; ""Â5. The T1 theorems for B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â6. Atomic decomposition of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â7. Duality and interpolation of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""References"" |
| Record Nr. | UNINA-9910788754903321 |
Han Yongsheng
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces / / Y. S. Han, E. T. Sawyer
| Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces / / Y. S. Han, E. T. Sawyer |
| Autore | Han Yongsheng |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Littlewood-Paley theory
Multipliers (Mathematical analysis) Hardy spaces Function spaces |
| ISBN | 1-4704-0109-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â1. Introduction""; ""Â2. T[sup(â€?1)][sub(N)] is a Calderónâ€?Zygmund operator""; ""Â3. The Calderónâ€?type reproducing formula on spaces of homogeneous type""; ""Â4. The Besov and Triebelâ€?Lizorkin spaces on spaces of homogeneous type""; ""Â5. The T1 theorems for B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â6. Atomic decomposition of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""Â7. Duality and interpolation of B[sup(α,q)][sub(p)] and F[sup(α,q)][sub(p)]""; ""References"" |
| Record Nr. | UNINA-9910817229003321 |
Han Yongsheng
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting
| Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting |
| Autore | Han Yongsheng |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (118 pages) |
| Disciplina |
515/.2433
515.2433 |
| Altri autori (Persone) |
LeeMing-Yi
LiJi |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hardy spaces
Maximal functions Littlewood-Paley theory Singular integrals Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- $H^p$-spaces Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
| ISBN |
9781470472276
1470472279 |
| Classificazione | 42B3042B2542B20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Acknowledgement -- Notation -- Chapter 1. Introduction and Statement of Main Results, Applications -- 1.1. Background and Main Results -- 1.2. Statement of Main Results -- 1.3. Strategy of Proofs of the Main Results -- 1.4. Applications and Related Open Questions -- Chapter 2. Flag Littlewood-Paley Estimate: | _{ }( )|₁, | _{ }( )|₁ and | _{ }( )|₁ -- 2.1. Discrete Calderón Reproducing Formula -- 2.2. Flag Plancherel-Pólya Type Inequalities -- 2.3. The Equivalence of | _{ }( )|₁ and | _{ }( )|₁ -- 2.4. The Estimate | _{ }( )|₁≲| _{ }( )|₁ -- Chapter 3. Estimates of Area Functions, Maximal Functions and Riesz Transforms via Flag Poisson Integral Technique -- 3.1. The Estimate | _{ }( )|₁≲| *|₁ -- 3.2. The Estimate | *|₁≲| ⁺|₁ -- 3.3. The Estimate | ⁺|₁≲∑ⱼ₌₁^{ + }∑_{ =1}^{ }| _{ , }( )|₁+| |₁ -- Chapter 4. Flag Maximal Functions: from Poisson Kernel to General Schwartz Kernels -- 4.1. The Equivalence | *|₁≈| *ᵩ( )|₁ -- 4.2. The Equivalence | ⁺|₁≈| ⁺ᵩ( )|₁ -- Chapter 5. Atomic Decompositions of Flag Hardy Spaces -- 5.1. Heat Kernel and Finite Speed Propagation -- 5.2. Atomic Decomposition for ¹_{ }(ℝⁿ×ℝ^{ }). -- 5.3. Proof of the Atomic Decomposition -- Chapter 6. Estimates of Riesz Transforms and Area Function via Atomic Decomposition -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910960743903321 |
Han Yongsheng
|
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| Providence : , : American Mathematical Society, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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