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- catalog abstract "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.".
- catalog contributor b2546779.
- catalog contributor b2546780.
- catalog created "c1989.".
- catalog date "1989".
- catalog date "c1989.".
- catalog dateCopyrighted "c1989.".
- catalog description "Includes bibliographical references.".
- catalog 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.".
- catalog extent "iv, 193 p. ;".
- catalog hasFormat "Weighted Hardy spaces.".
- catalog identifier "0387514023 (U.S.)".
- catalog identifier "3540514023".
- catalog isFormatOf "Weighted Hardy spaces.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1381.".
- catalog isPartOf "Lecture notes in mathematics ; 1381".
- catalog issued "1989".
- catalog issued "c1989.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Weighted Hardy spaces.".
- catalog subject "Geometry.".
- catalog subject "Hardy spaces.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1381".
- catalog title "Weighted Hardy spaces / Jan-Olov Strömberg, Alberto Torchinsky.".
- catalog type "text".