Weighted hardy spaces. Lecture notes in mathematics; Bd. 1381.

Strömberg, Jan-Olov; Torchinsky, Alberto

ISBN 10: 3540514023 / ISBN 13: 9783540514022

Published by Berlin, Springer, 1989

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03458 3540514023 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2489369

Bibliographic Details

Title: Weighted hardy spaces. Lecture notes in ...

Publisher: Berlin, Springer

Publication Date: 1989

Binding: Softcover

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.