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

页码：301 / 313

页数：13

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