Weighted Hardy Spaces

Language: English

Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 1989

3540514023 / 9783540514022

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These notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting; they derive mean value inequalities for wavelet transforms and introduce halfspace techniques with, for example, nontangential maximal functions and g-functions. This leads to several equivalent definitions of the weighted Hardy space HPW. Fourier multipliers and singular integral operators are applied to the weighted Hardy spaces and complex interpolation is considered. One tool often used here is the atomic decomposition. The methods developed by the authors using the atomic decomposition in the strictly convex case p1 are of special interest.

Seller Inventory # LU-9783540514022

Title
Weighted Hardy Spaces
Author
Alberto Torchinsky, Jan-Olov Strömberg
Publisher
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
Publication year
1989
Condition
New
Binding
Paperback
Language
English
ISBN 10
3540514023
ISBN 13
9783540514022
Edition
1989 ed.

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