Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28 / / Gerald B. Folland, Elias M. Stein.

The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal f...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2022]
©1982
Year of Publication:2022
Language:English
Series:Mathematical Notes ; 28
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Physical Description:1 online resource (286 p.)
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Table of Contents:
  • Frontmatter
  • TABLE OF CONTENTS
  • INTRODUCTION
  • Remarks on Notation
  • CHAPTER 1 Background on Homogeneous Groups
  • CHAPTER 2 Maximal Functions and Atoms
  • CHAPTER 3 Decomposition and Interpolation Theorems
  • CHAPTER 4 Other Maximal Function Characterizations of HP
  • CHAPTER 5 Duals of HP spaces: Campanato Spaces
  • CHAPTER 6 Convolution Operators on HP
  • CHAPTER 7 Characterization of HP by Square Functions: The Lusin and Littlewood-Paley Functions
  • CHAPTER 8 Boundary Value Problems
  • BIBLIOGRAPHY
  • Index of Terminology
  • Index of Notation