书目名称 | Weighted Hardy Spaces |
编辑 | Jan-Olov Strömberg,Alberto Torchinsky |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 1989 |
关键词 | Maxima; Sharp; Singular integral; class; duality; equality; form; function; inequality; integral; interpolatio |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0091154 |
isbn_softcover | 978-3-540-51402-2 |
isbn_ebook | 978-3-540-46207-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1989 |