Characterization of Compactness of the Commutators of Bilinear Fractional Integral Operators

被引：32
|
作者：
Chaffee, Lucas [1 ]
Torres, Rodolfo H. [1 ]
机构：
[1] Univ Kansas, Dept Math, Lawrence, KS 66045 USA
来源：
POTENTIAL ANALYSIS | 2015年 / 43卷 / 03期
关键词：
Bilinear operators; Compact operators; Singular integrals; Fractional integrals; Calderon-Zygmund theory; Commutators; Muckenhoupt weights; Vector valued weights; Weighted Lebesgue spaces; MULTILINEAR SINGULAR-INTEGRALS; SPACES;
D O I：
10.1007/s11118-015-9481-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：14
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