Weighted Hardy Spaces (1989) (Lecture Notes in Mathematics #1381)
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- Synopsis
- 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.
- Copyright:
- 1989
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783540462071
- Related ISBNs:
- 9783540514022
- Publisher:
- Springer Berlin Heidelberg
- Date of Addition:
- 08/12/22
- Copyrighted By:
- N/A
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.