Multilinear Fourier multipliers related to time-frequency localization

被引：0
|
作者：
Fernandez, Carmen [1 ]
Galbis, Antonio [1 ]
Martinez, Josep [1 ]
机构：
[1] Univ Valencia, E-46100 Valencia, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 398卷 / 01期
关键词：
Multilinear Fourier multiplier; Bilinear pseudodifferential operator; Time-frequency; Localization operator; Bilinear compact operator; MODULATION SPACES; COMPACTNESS; OPERATORS;
D O I：
10.1016/j.jmaa.2012.08.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider multilinear multipliers associated in a natural way with localization operators. Boundedness and compactness results are obtained. In particular, we get a geometric condition on a subset A subset of R-2d which guarantees that, for a fixed synthesis window psi is an element of L-2(R-d), the family of localization operators L-phi,L- (A)(psi) obtained when the analysis window phi varies on the unit ball of L-2(R-d) is a relatively compact set of compact operators. (C) 2012 Elsevier Inc: All rights reserved.
引用
收藏
页码：113 / 122
页数：10
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