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Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
1982.
|
| Colección: | Mathematical Notes Ser.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover Page
- Title Page
- Copyright Page
- Contents
- Introduction
- Remarks on Notation
- Chapter 1: Background on Homogeneous Groups
- A. Homogeneous Groups
- B. Convolutions
- C. Derivatives and Polynomials
- D. The Schwartz Class
- E. Integral Representations of the and Function
- F. Covering Lemmas
- G. The Heat Kernel on Stratified Groups
- Notes and References
- Chapter 2: Maximal Functions and Atoms
- Notes and References
- Chapter 3: Decomposition and Interpolation Theorems
- A. The Calderon-Zygmund Decomposition
- B. The Atomic Decomposition
- C. Interpolation Theorems
- Notes and References
- Chapter 4: Other Maximal Function Characterizations of HP
- A. Relationships Among Maximal Functions
- B. Construction of Commutative Approximate Identities
- Notes and References
- Chapter 5: Duals of HP spaces: Campanato Spaces
- A. The Dual of HP
- B. BMO
- C. Lipschitz Classes
- Notes and References
- Chapter 6: Convolution Operators on HP
- A. Kernels of Type (a,r)
- B. A Multiplier Theorem
- Notes and References
- Chapter 7: Characterization of HP by Square Functions: The Lusin and Littlewood-Paley Functions
- Notes and References
- Chapter 8: Boundary Value Problems
- A. Temperatures on Stratified Groups
- B. Poisson Integrals on Stratified Groups
- C. Poisson Integrals on Symmetric Spaces
- Notes and References
- Bibliography
- Index of Terminology
- Index of Notation