Boundedness of pseudodifferential operators on modulation spaces

被引：21
|
作者：
Czaja, W [1 ]
机构：
[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 284卷 / 01期
关键词：
Gabor transform; short-time Fourier transform; modulation spaces; pseudodifferential operators;
D O I：
10.1016/S0022-247X(03)00364-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study classes of pseudodifferential operators which are bounded on large collections of modulation spaces. The conditions on the operators are stated in terms of the L-p,L-q estimates for the continuous Gabor transforms of their symbols. In particular, we show how these classes are related to the class of operators of Grochenig and Heil, which is bounded on all modulation spaces. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：389 / 396
页数：8
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