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Boundedness Results for Operators With Singular Kernels on Distribution Spaces

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Boundedness Results for Operators With Singular Kernels on Distribution Spaces Synopsis

Discrete decomposition techniques for spaces for functions or distributions are very useful tools for studying many problems in analysis. In this work, the author uses this type of decomposition, associated with the so-called *p-transform and wavelet-transform theories, to analyse a large class of operators, including pseudodifferential operators, Calderon-Zygmund operators, and other operators with singular kernels. The methods used combine Littlewood-Paley type characterizations of spaces of distributions with certain atomic and molecular decompositions. In this way, the study of operators on most of the classical function spaces - such as Hardy spaces, Besov-Lipschitz spaces, and Sobolev spaces - can be accomplished in a unified manner. The book is written in an expository style that makes it suitable for advanced graduate students in analysis.

About This Edition

ISBN: 9780821825051
Publication date:
Author: Rodolfo H Torres
Publisher: American Mathematical Society
Format: Paperback
Pagination: 172 pages
Series: Memoirs of the American Mathematical Society
Genres: Calculus and mathematical analysis