Weighted Hardy Spaces [electronic resource] /

Weighted Hardy Spaces [electronic resource] /

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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 p>1 are of special interest.

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Main Authors: Strömberg, Jan-Olov. author., Torchinsky, Alberto. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989
Subjects:Mathematics., Geometry.,
Online Access:http://dx.doi.org/10.1007/BFb0091154
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id KOHA-OAI-TEST:208143
record_format koha
spelling KOHA-OAI-TEST:2081432018-07-30T23:38:50ZWeighted Hardy Spaces [electronic resource] / Strömberg, Jan-Olov. author. Torchinsky, Alberto. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1989.engThese 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.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.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.Mathematics.Geometry.Mathematics.Geometry.Springer eBookshttp://dx.doi.org/10.1007/BFb0091154URN:ISBN:9783540462071
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Geometry.
Mathematics.
Geometry.
Mathematics.
Geometry.
Mathematics.
Geometry.
spellingShingle Mathematics.
Geometry.
Mathematics.
Geometry.
Mathematics.
Geometry.
Mathematics.
Geometry.
Strömberg, Jan-Olov. author.
Torchinsky, Alberto. author.
SpringerLink (Online service)
Weighted Hardy Spaces [electronic resource] /
description 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.
format Texto
topic_facet Mathematics.
Geometry.
Mathematics.
Geometry.
author Strömberg, Jan-Olov. author.
Torchinsky, Alberto. author.
SpringerLink (Online service)
author_facet Strömberg, Jan-Olov. author.
Torchinsky, Alberto. author.
SpringerLink (Online service)
author_sort Strömberg, Jan-Olov. author.
title Weighted Hardy Spaces [electronic resource] /
title_short Weighted Hardy Spaces [electronic resource] /
title_full Weighted Hardy Spaces [electronic resource] /
title_fullStr Weighted Hardy Spaces [electronic resource] /
title_full_unstemmed Weighted Hardy Spaces [electronic resource] /
title_sort weighted hardy spaces [electronic resource] /
publisher Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
publishDate 1989
url http://dx.doi.org/10.1007/BFb0091154
work_keys_str_mv AT strombergjanolovauthor weightedhardyspaceselectronicresource
AT torchinskyalbertoauthor weightedhardyspaceselectronicresource
AT springerlinkonlineservice weightedhardyspaceselectronicresource
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