Leibniz-Type Rules for Bilinear and Biparameter Fourier Multiplier Operators with Applications

被引：0
|
作者：
Jiexing Yang
Zongguang Liu
Xinfeng Wu
机构：
[1] China University of Mining & Technology,Department of Mathematics
来源：
Potential Analysis | 2021年 / 55卷
关键词：
Bilinear and biparameter Fourier multiplier; Smoothing properties; Leibniz-type rules; Primary 42B20; Secondary 42B15, 47G99;
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摘要：
We establish Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with limited Sobolev regularity. Applications of our result are given including the biparameter Leibniz rules, smoothing properties of bilinear-biparameter fractional integrals, and mapping properties of scattering operators for a system of PDEs.
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页码：189 / 209
页数：20
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