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;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：189 / 209

页数：20

共 38 条

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[38] Weighted inequalities for Fourier multiplier operators of Bochner–Riesz type on R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathbb{R} ^2$$\end{document}
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