Weighted Hardy Spaces. Lecture Notes in Mathematics, 1381.

Stromberg, Jan-Olov und Alberto Torchinsky,

ISBN 10: 3540514023 / ISBN 13: 9783540514022

Published by Springer Verlag, Berlin, 1989

About this Item

204 pages Ex-Library book in good condition. 9783540514022 Sprache: Englisch Gewicht in Gramm: 550 Taschenbuch, Größe: 15.6 x 1.2 x 23.4 cm. Seller Inventory # 1160046

Bibliographic Details

Title: Weighted Hardy Spaces. Lecture Notes in ...

Publisher: Springer Verlag, Berlin

Publication Date: 1989

Binding: Soft cover

About this title

Synopsis:

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 p>1 are of special interest.