Weighted Hardy Spaces

Alberto Torchinsky

ISBN 10: 3540514023 / ISBN 13: 9783540514022

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1989, 1989

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 204 pp. Englisch.

Codice articolo 9783540514022

Dati bibliografici

• Titolo: Weighted Hardy Spaces
• Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1989
• Data di pubblicazione: 1989
• Lingua: Inglese
• ISBN 10: 3540514023
• ISBN 13: 9783540514022
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 12 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 12 millimetri di profondità
• Peso: 318 grammi

Descrizione articolo

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.

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.