Sharp bounds for multilinear fractional integral operators on Morrey type spaces: the endpoint cases

被引：0
作者：
Zheng, Suting [1 ]
Wang, Dinghuai [1 ]
Hu, Xi [2 ]
机构：
[1] Anhui Normal Univ, Sch Math & Stat, Wuhu 241002, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
POSITIVITY | 2023年 / 27卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Boundeness; Exponential integrability; Endpoint estimate; Fractional integral; Morrey spaces;
D O I：
10.1007/s11117-023-00987-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the Strichartz's result of the exponential integrability of fractional integral operators is improved. Also, we establish the endpoint boundedness of the multilinear fractional integrals acting on the multi-Morrey spaces. The conclusions relax the restriction that pi ?1 for all i = 1, ... , m and extend some known results.
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页数：12
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