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Weighted Bergman spaces induced by rapidly increasing weights /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2013.
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| Colección: | Memoirs of the American Mathematical Society ;
Volume 227, no. 1066. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Contents""; ""Preface""; ""Chapter 1. Basic Notation and Introduction to Weights""; ""1.1. Basic notation""; ""1.2. Regular and rapidly increasing weights""; ""1.3. Bekollé-Bonami and invariant weights""; ""1.4. Lemmas on weights""; ""1.5. Density of polynomials in ^{ }_{ }""; ""Chapter 2. Description of -Carleson Measures for ^{ }_{\om}""; ""2.1. Weighted maximal function _{ }""; ""2.2. Proof of the main result""; ""Chapter 3. Factorization and Zeros of Functions in ^{ }_{\om}""; ""3.1. Factorization of functions in ^{ }_{ }""
- ""3.2. Zeros of functions in ^{ }_{ }""""3.3. Zeros of functions in the Bergman-Nevanlinna class \mathit{ }_{ }""; ""Chapter 4. Integral Operators and Equivalent Norms""; ""4.1. Equivalent norms on ^{ }_{ }""; ""4.2. Integral operator _{ } on the weighted Bergman space ^{ }_{ }""; ""4.3. Integral operator _{ } on the Hardy space ^{ }""; ""Chapter 5. Non-conformally Invariant Space Induced by _{ } on ^{ }_{\om}""; ""5.1. Inclusion relations""; ""5.2. Structural properties of ¹(^{â??})""
- ""Chapter 6. Schatten Classes of the Integral Operator _{ } on ²_{\om}""""6.1. Preliminary results""; ""6.2. Proofs of the main results""; ""Chapter 7. Applications to Differential Equations""; ""7.1. Solutions in the weighted Bergman space ^{ }_{ }""; ""7.2. Solutions in the Bergman-Nevanlinna class \mathit{ }_{ }""; ""Chapter 8. Further Discussion""; ""8.1. Carleson measures""; ""8.2. Generalized area operators""; ""8.3. Growth and oscillation of solutions""; ""8.4. Zero distribution""; ""Bibliography""; ""Index""