Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form

被引：0
作者：
Takao Ohno
Tetsu Shimomura
机构：
[1] Oita University,Faculty of Education
[2] Hiroshima University,Department of Mathematics, Graduate School of Humanities and Social Sciences
来源：
Czechoslovak Mathematical Journal | 2023年 / 73卷
关键词：
Riesz potential; Sobolev’s inequality; Orlicz-Morrey space; metric measure space; non-doubling measure; 46E35; 46E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Our aim is to give Sobolev-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces as an extension of T. Ohno, T. Shimomura (2022). Our results are new even for the doubling metric measure spaces.
引用
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页码：263 / 276
页数：13
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Mizuta Y(undefined)Maximal operator on Orlicz spaces of two variable exponents over unbounded quasi-metric measure spaces undefined undefined undefined-undefined
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Shimomura T(undefined)A remark on modified Morrey spaces on metric measure spaces undefined undefined undefined-undefined
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Shimomura T(undefined) estimates for maximal functions on non-compact symmetric spaces undefined undefined undefined-undefined
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Nakai E(undefined)undefined undefined undefined undefined-undefined
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