L~p-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on R~n

被引：0
|
作者：
Wenyu Tao [1 ]
Yanping Chen [1 ]
Yayuan Xiao [2 ]
Liwei Wang [1 ,3 ]
机构：
[1] School of Mathematics and Physics, University of Science and Technology Beijing
[2] School of Mathematics and Physics, Anhui Polytechnic University
[3] Department of Mathematical Sciences, Ball State University
来源：
ScienceChina(Mathematics) | 2020年 / 63卷 / 03期
基金：
中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;
关键词：
commutator; Kato square root; elliptic operators; Sobolev space;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
Let L=-div(A▽) be a second-order divergent-form elliptic operator,where A is an accretive n×n matrix with bounded and measurable complex coefficients on Herein,we prove that the commutator [b,L]of the Kato square root Land b with ▽b∈L~n(R~n)(n> 2),is bounded from the homogenous Sobolev space L~p(R~n) to L~p(R~n)(p-(L) <p<p+(L)).
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页码：575 / 594
页数：20
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