Characterization of Compactness of the Commutators of Bilinear Fractional Integral Operators

被引:0
|
作者
Lucas Chaffee
Rodolfo H. Torres
机构
[1] University of Kansas,Department of Mathematics
来源
Potential Analysis | 2015年 / 43卷
关键词
Bilinear operators; Compact operators; Singular integrals; Fractional integrals; Calderón-Zygmund theory; Commutators; Muckenhoupt weights; Vector valued weights; Weighted Lebesgue spaces; Primary: 42B20; 47B07; Secondary: 42B25; 47G99;
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学科分类号
摘要
The compactness of the commutators of bilinear fractional integral operators and point-wise multiplication, acting on products of Lebesgue spaces, is characterized in terms of appropriate mean oscillation properties of their symbols. The compactness of the commutators when acting on product of weighted Lebesgue spaces is also studied.
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页码:481 / 494
页数:13
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