The boundedness of fractional integral operators in local and global mixed Morrey-type spaces

被引：8
|
作者：
Zhang, Houkun [1 ]
Zhou, Jiang [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
POSITIVITY | 2022年 / 26卷 / 01期
关键词：
Local and global mixed Morrey-type spaces; Fractional integral operators; Hardy operators; SUFFICIENT CONDITIONS; MAXIMAL OPERATOR; EMBEDDINGS;
D O I：
10.1007/s11117-022-00886-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the local and global mixed Morrey-type spaces and show some properties. Besides, we investigate the boundedness of the fractional integral operators Ia in these spaces. Firstly, we investigate sufficient and necessary conditions in mixed-norm Lebesgue spaces and necessary conditions for boundedness in the local mixed Morrey-type spaces. Then, we prove the boundedness of I-alpha by Hardy operators' boundedness in weighted Lebesgue spaces. Furthermore, we obtain the boundedness of I-alpha in global mixed Morrey-type spaces and some corollaries.
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收藏
页数：22
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