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Hardy spaces on homogeneous groups

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Author(s): G. B. Folland, E. M. Stein
Publisher: Princeton
Year: 1982

Language: English

Cover (in b&w)
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 δ 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 H^p
A. Relationships Among Maximal Functions
B. Construction of Commutative Approximate Identities
Notes and References
CHAPTER 5 : Duals of H^p spaces: Campanato Spaces
A. The Dual of H^p
B. BMO
C. Lipschitz Classes
Notes and References
CHAPTER 6: Convolution Operators on H^p
A. Kernels of Type (α,r)
B. A Multiplier Theorem
Notes and References
CHAPTER 7: Characterization of H^p 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