Compact Commutators of Calderon-Zygmund and Generalized Fractional Integral Operators with a Function in Generalized Campanato Spaces on Generalized Morrey Spaces

被引：10

作者：

Arai, Ryutaro ^{[1
]}

Nakai, Eiichi ^{[1
]}

机构：

[1] Ibaraki Univ, Dept Math, Mito, Ibaraki 3108512, Japan

来源：

TOKYO JOURNAL OF MATHEMATICS | 2019年 / 42卷 / 02期

基金：

日本学术振兴会;

关键词：

Morrey space; Campanato space; variable growth condition; singular integral; fractional integral; commutator; POINTWISE MULTIPLIERS; HARDY-SPACES; INEQUALITIES;

D O I：

10.3836/tjm/1502179285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the commutators [b, T] and [b, I-rho], where T is a Calderon-Zygmund operator, I-rho is a generalized fractional integral operator and b is a function in Campanato spaces with variable growth condition. It is known that these commutators are bounded on generalized Money spaces with variable growth condition. In this paper we discuss the compactness of these commutators.

引用

页码：471 / 496

页数：26

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