Maximal commutators and commutators of potential operators in new vanishing Morrey spaces

被引：7
|
作者：
Almeida, Alexandre [1 ]
机构：
[1] Univ Aveiro, Ctr R&D Math & Applicat, Dept Math, P-3810193 Aveiro, Portugal
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 192卷
关键词：
Morrey spaces; Vanishing properties; Commutators; Maximal functions; Fractional integral operators; HARDY OPERATORS; BOUNDEDNESS; REGULARITY; THEOREMS;
D O I：
10.1016/j.na.2019.111684
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study mapping properties of commutators in certain vanishing subspaces of Morrey spaces, which were recently used to solve the delicate problem of describing the closure of nice functions in Morrey norm. We show that the vanishing properties defining those subspaces are preserved under the action of maximal commutators and commutators of fractional integral operators. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：12
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