Inclusion of mixed Morrey spaces

被引:1
|
作者
Tarigan, Muhammad O. I. P. [1 ]
Gunadi, Reinhart [1 ]
Hakim, Denny Ivanal [1 ]
Ifronika [1 ]
机构
[1] Bandung Inst Technol, Dept Math, Bandung 40132, Indonesia
关键词
Morrey spaces; Mixed Morrey spaces; Iterated weak Morrey spaces; Inclusion properties;
D O I
10.1007/s43036-022-00241-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main purpose of this paper is to give some necessary and sufficient conditions for inclusions between mixed Morrey spaces, between iterated weak Morrey spaces, and between a mixed Morrey space and an iterated weak Morrey space. Our proof uses the calculation of the mixed Morrey norm of characteristic functions of balls. Our results extend the inclusion results in Morrey spaces to mixed Morrey spaces and iterated weak Morrey spaces.
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页数:13
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