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.

引用

页码：413 / 423

页数：11

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