Boundedness of Multilinear Pseudo-differential Operators on Modulation Spaces

被引：0
|
作者：
Shahla Molahajloo
Kasso A. Okoudjou
Götz E. Pfander
机构：
[1] Institute for Advanced Studies in Basic Sciences (IASBS),Department of Mathematics
[2] University of Maryland,Department of Mathematics
[3] Jacobs University,School of Science and Engineering
来源：
Journal of Fourier Analysis and Applications | 2016年 / 22卷
关键词：
Multilinear pseudo-differential operators; Modulation spaces; Bilinear Hilbert transform; Trilinear Hilbert transform; Primary 47G30; Secondary 35S99; 42A45; 42B15; 42B35;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1381 / 1415
页数：34
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