Boundedness of Multilinear Pseudo-differential Operators on Modulation Spaces

被引：11

作者：

Molahajloo, Shahla ^{[1
]}

Okoudjou, Kasso A. ^{[2
]}

Pfander, Goetz E. ^{[3
]}

机构：

[1] IASBS, Dept Math, Gavazang 4513879368, Zanjan, Iran

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[3] Jacobs Univ, Sch Sci & Engn, D-28759 Bremen, Germany

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2016年 / 22卷 / 06期

关键词：

Multilinear pseudo-differential operators; Modulation spaces; Bilinear Hilbert transform; Trilinear Hilbert transform; CONTINUITY PROPERTIES; L-P; MULTIPLIERS; TRANSFORM; CALCULUS;

D O I：

10.1007/s00041-016-9461-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the operators' symbols. The flexibility and strength of the introduced methods is demonstrated by their application to the bilinear and trilinear Hilbert transform.

引用

页码：1381 / 1415

页数：35

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