Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces

被引：4
作者：
Avsyankin, O. G. [1 ]
机构：
[1] Southern Fed Univ, Inst Math Mech & Comp Sci, Rostov Na Donu 344090, Russia
来源：
MATHEMATICAL NOTES | 2018年 / 104卷 / 3-4期
基金：
俄罗斯基础研究基金会;
关键词：
generalized Morrey space; convolution operator; multiplication operator; commutator; compactness; SUFFICIENT CONDITIONS; CLASSICAL OPERATORS; YOUNGS-INEQUALITY; MAXIMAL OPERATOR; RECENT PROGRESS; REAL ANALYSIS; BOUNDEDNESS; COMMUTATORS;
D O I：
10.1134/S000143461809002X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Sufficient conditions for the compactness in generalized Morrey spaces of the composition of a convolution operator and the operator of multiplication by an essentially bounded function are obtained. Very weak conditions on the function are also obtained under which the commutator of the operator of multiplication by such a function and a convolution operator is compact. The compactness of convolution operators in domains of cone type is investigated.
引用
收藏
页码：331 / 338
页数：8
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