Relatively Compact Sets in Variable Exponent Morrey Spaces on Metric Spaces

被引：5

作者：

Bandaliyev, Rovshan A. ^{[1
,2
]}

Gorka, Przemyslaw ^{[3
]}

Guliyev, Vagif S. ^{[1
,2
,4
,5
]}

Sawano, Yoshihiro ^{[6
]}

机构：

[1] People Friendship Univ Russia, RUDN Univ, 6 Maklaya St, Moscow 117198, Russia

[2] NAS Azerbaijan Baku, Inst Math & Mech, Baku, Azerbaijan

[3] Warsaw Univ Technol, Dept Math & Informat Sci, Ul Koszykowa 75, PL-00662 Warsaw, Poland

[4] Dumlupinar Univ, Dept Math, Kutahya, Turkey

[5] Baku State Univ, Inst Appl Math, Baku, Azerbaijan

[6] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo, Japan

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Metric measure spaces; variable exponent Lebesgue spaces; Morrey spaces; compactness; SINGULAR-OPERATORS; LEBESGUE SPACES; EMBEDDINGS;

D O I：

10.1007/s00009-021-01828-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a characterization of the precompactness of sets in variable exponent Morrey spaces on bounded metric measure spaces. Totally bounded sets are characterized from several points of view for the case of variable exponent Morrey spaces over metric measure spaces. This characterization is new in the case of constant exponents.

引用

页数：23

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