Bilinear pseudodifferential operators on modulation spaces

被引：19
|
作者：
Bényi, A
Okoudjou, K
机构：
[1] Univ Massachusetts, Lederle Grad Res Tower, Dept Math & Stat, Amherst, MA 01003 USA
[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2004年 / 10卷 / 03期
关键词：
bilinear operators; Gabor frames; modulation spaces; moderate weights; pseudodifferential operators; sequence spaces; short-time Fourier transform; time-frequency analysis; weighted spaces;
D O I：
10.1007/s00041-004-0977-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the theory of Gabor frames to prove the boundedness of bilinear pseudodifferential operators on products of modulation spaces. In particular, we show that bilinear pseudodifferential operators corresponding to non-smooth symbols in the Feichtinger algebra are bounded on products of modulation spaces.
引用
收藏
页码：301 / 313
页数：13
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