Boundedness and Compactness of Commutators for Bilinear Fractional Integral Operators on Morrey Spaces

被引：0
作者：
Q. Guo
J. Zhou
机构：
[1] Xiamen University,School of Mathematical Sciences
[2] Xinjiang University,College of Mathematics and System Sciences
来源：
Analysis Mathematica | 2021年 / 47卷
关键词：
characterization; boundedness; bilinear fractional integral operator; Morrey space; compactness; primary 42B20; secondary 42B35; 42B99;
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学科分类号：
摘要：
We show a characterization for the boundedness of the commutators for bilinear fractional integral operators Bα (0 < α < n) on Morrey spaces. Moreover, we obtain that if b ∈ CMO, then the commutators [b, Bα]i (i = 1, 2) are separately compact operators on Morrey spaces where CMO denotes the BMO-closure of Cc∞(ℝn). A necessary condition for commutators [b, Bα]i (i = 1, 2) to be jointly compact on Morrey spaces is also given.
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页码：81 / 103
页数：22
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