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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Weighted Hardy Spaces

Weighted Hardy Spaces

Strömberg, Jan-Olov
Torchinsky, Alberto

Paperback

Series: Lecture Notes in Mathematics, Book 1381

General MathematicsGeometry

ISBN10: 3540514023
ISBN13: 9783540514022
Publisher: Springer Nature
Published: Jul 26 1989
Pages: 200
Weight: 0.64
Height: 0.43 Width: 6.14 Depth: 9.21
Language: English
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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