Multiparameter weights with connections to Schauder bases

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:371

Article

Moen, Kabe

关键词: Weighted inequalities;    Principle shift invariant systems;    Gabor systems;   

DOI  :  10.1016/j.jmaa.2010.05.035

来源: Elsevier

【 摘 要 】

We give several characterizations multiparameter A(p)(T-d) in terms of strong maximal functions, rectangular conjugate functions, and rectangular partial sums. We also define a way to enumerate Z(d) that corresponds to rectangles. We then use these enumerations to give another characterization of rectangular A(p)(T-d) in terms of trigonometric Schauder bases. Finally, we present some applications to principle shift invariant spaces and Gabor systems. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free