The Hardy space H[1] with non-doubling measures and their applications
Author(s)
Bibliographic Information
The Hardy space H[1] with non-doubling measures and their applications
（Lecture notes in mathematics, 2084）
Springer, c2013
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The Hardy space H1 with non-doubling measures and their applications
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2084200026149498
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Note
[1] is superscript
Includes bibliographical references (p. 643-649) and index
Description and Table of Contents
Description
The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems.
The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.
Table of Contents
Preliminaries.- Approximations of the Identity.- The Hardy Space H1( ).- The Local Atomic Hardy Space h1( ).- Boundedness of Operators over (RD, ).- Littlewood-Paley Operators and Maximal Operators Related to Approximations of the Identity.- The Hardy Space H1 ( , )and Its Dual Space RBMO ( , ).- Boundedness of Operators over(( , ).- Bibliography.- Index.- Abstract.
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