ROUGH FRACTIONAL INTEGRAL OPERATORS ON MORREY--ADAMS SPACES

被引：3
|
作者：
Salim, Daniel [1 ,2 ]
Budhi, Wono Setya [1 ]
机构：
[1] Inst Teknol Bandung, Anal & Geometry Res Grp, Bandung, Indonesia
[2] Univ Katolik Parahyangan, Math Dept, Bandung, Indonesia
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 02期
关键词：
Morrey space; Morrey-type space; Morrey-Adams space; fractional integral operator; vanishing Morrey space; SUFFICIENT CONDITIONS; BOUNDEDNESS;
D O I：
10.7153/jmi-2022-16-30
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1981, Adams introduced another variant of Morrey spaces, and we call it the Morrey-Adams space. In this paper, we investigate the boundedness of rough fractional integral operators on Morrey-Adams spaces under a weaker condition. We compare it with Adams' results. We then refine the results to vanishing Morrey-Adams spaces in the local sense. We also prove the beyond Adams' inequality of rough fractional integral operators on local Morrey- Adams spaces for the radial functions.
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页码：413 / 423
页数：11
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