BOUNDEDNESS AND COMPACTNESS OF COMMUTATORS FOR BILINEAR FRACTIONAL INTEGRAL OPERATORS ON MORREY SPACES

被引：2
|
作者：
Guo, Q. [1 ]
Zhou, J. [2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
ANALYSIS MATHEMATICA | 2021年 / 47卷 / 01期
基金：
中国国家自然科学基金;
关键词：
characterization; boundedness; bilinear fractional integral operator; Morrey space; compactness;
D O I：
10.1007/s10476-021-0067-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show a characterization for the boundedness of the commutators for bilinear fractional integral operators B-alpha (0 < alpha < n) on Morrey spaces. Moreover, we obtain that if b is an element of CMO, then the commutators [b, B-alpha](i) (i = 1, 2) are separately compact operators on Morrey spaces where CMO denotes the BMO-closure of C-c(infinity)(R-n). A necessary condition for commutators [b, B-alpha]i (i = 1, 2) to be jointly compact on Morrey spaces is also given.
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页码：81 / 103
页数：23
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