Fractional Operators on Morrey-Lorentz Spaces and the Olsen Inequality

被引：7
|
作者：
Hatano, N. [1 ]
机构：
[1] Chuo Univ, Dept Math, Tokyo 1128551, Japan
来源：
MATHEMATICAL NOTES | 2020年 / 107卷 / 1-2期
关键词：
Morrey spaces; Morrey-Lorentz spaces; fractional integral operators; fractional maximal operators; INTEGRAL-OPERATORS;
D O I：
10.1134/S0001434620010071
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under the Morrey norm, the fractional integral operator and the fractional maximal operator behave similarly as was initially proved by Adams and Xiao. Later on, Tanaka extended this result. The goal of this note is to extend their results on Morrey-Lorentz norm for exponents of full range. A passage to the vector-valued setting is done. Moreover, an Olsen-type inequality is obtained.
引用
收藏
页码：63 / 79
页数：17
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