Sobolev regularity for commutators of the fractional maximal functions

被引：0
作者：
Feng Liu
Shuai Xi
机构：
[1] Shandong University of Science and Technology,College of Mathematics and System Science
来源：
Banach Journal of Mathematical Analysis | 2021年 / 15卷
关键词：
Commutator; Fractional maximal function; Local fractional maximal function; Sobolev space; 42B25; 46E35;
D O I：
暂无
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摘要：
In this paper the Sobolev regularity properties are investigated of the commutators of fractional maximal functions, both in the global and local case. Some new bounds for the derivatives of the above commutators will be established. As several applications, the boundedness for these operators in Sobolev spaces as well as the bounds of these operators on the Sobolev spaces with zero boundary values in the local setting are obtained.
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