Weighted Fractional Leibniz-Type Rules for Bilinear Multiplier Operators

被引：0
|
作者：
Joshua Brummer
Virginia Naibo
机构：
[1] Kansas State University,Department of Mathematics
来源：
Potential Analysis | 2019年 / 51卷
关键词：
Kato–Ponce inequalities; Fractional Leibniz rules; Weights; Coifman–Meyer multipliers; Biparameter Coifman–Meyer multipliers; Primary: 42B25, 42B15; Secondary: 42B20, 46E35;
D O I：
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中图分类号：
学科分类号：
摘要：
We prove weighted fractional Leibniz-type rules for Coifman–Meyer and biparameter Coifman–Meyer multiplier operators. Mapping properties of such operators in the scale of weighted Sobolev spaces then follow. Our results constitute natural extensions of the estimates corresponding to a multiplier identically equal to one and, even in this situation, they lead to new weighted inequalities.
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页码：71 / 99
页数：28
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