On the compactness of convolution-type operators in Morrey spaces

被引：3

作者：

Avsyankin, O. G. ^{[1
]}

机构：

[1] Southern Fed Univ, Rostov Na Donu, Russia

来源：

MATHEMATICAL NOTES | 2017年 / 102卷 / 3-4期

关键词：

convolution operator; multiplication operator; Morrey space; commutator; compactness; SINGULAR INTEGRAL-OPERATORS; SUFFICIENT CONDITIONS; CLASSICAL OPERATORS; MAXIMAL OPERATOR; RECENT PROGRESS; REAL ANALYSIS; BOUNDEDNESS; COMMUTATORS;

D O I：

10.1134/S0001434617090152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a Morrey space, the product of the convolution operator with summable kernel and the operator of multiplication by an essentially bounded function is considered. Sufficient conditions for such a product to be compact are obtained. In addition, it is shown that the commutator of the convolution operator and the operator of multiplication by a function of weakly oscillating type is compact in a Morrey space.

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收藏

页码：437 / 443

页数：7

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