Weighted Hardy Spaces (Lecture Notes in Mathematics): 1381 - Brossura

Stromberg, Jan-Olov

Brossura

ISBN 10: 3540514023 ISBN 13: 9783540514022

Casa editrice: Springer, 1989

Riassunto

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.

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Contenuti

Weights.- Decomposition of weights.- Sharp maximal functions.- Functions in the upper half-space.- Extensions of distributions.- The Hardy spaces.- A dense class.- The atomic decomposition.- The basic inequality.- Duality.- Singular integrals and multipliers.- Complex interpolation.

Product Description

Book by Strmberg JanOlov Torchinsky Alberto

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 1989
• ISBN 10: 3540514023
• ISBN 13: 9783540514022
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 204