Hardy spaces on homogeneous groups

Description

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