Boundedness Results for Operators With Singular Kernels on Distribution Spaces (Memoirs of the American Mathematical Society)

Name: Boundedness Results for Operators With Singular Kernels on Distribution Spaces (Memoirs of the American Mathematical Society)
Brand: American Mathematical Society
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By Torres, Rodolfo H.

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Description

Discrete decomposition techniques for spaces for functions or distributions are very useful tools for studying many problems in ysis. In this work, the author uses this type of decomposition, associated with the so-called *p-transform and wavelet-transform theories, to yse 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 ysis.

Product details

Binding:: Paperback
Release Date:: 1991-07-01
Publication Date:: 1991-07-01
Publisher:: American Mathematical Society
Languages:: Published: English, Original: English
ISBN10:: 0821825054
Weight:: 318 g

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