SOBOLEV’S INEQUALITY FOR MUSIELAK-ORLICZ-MORREY SPACES OVER METRIC MEASURE SPACES

SOBOLEV’S INEQUALITY FOR MUSIELAK-ORLICZ-MORREY SPACES OVER METRIC MEASURE SPACES
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MUSIELAK-ORLICZ-MORREY 空间与度量测度空间的 SOBOLEV 不等式

DOI:
10.1017/s144678871900034x
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发表时间:
2021
影响因子:
0.7
通讯作者:
SHIMOMURA TETSU
SHIMOMURA TETSU
中科院分区:
数学3区
文献类型:
--
作者:
OHNO TAKAO;SHIMOMURA TETSU

文献摘要

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本文的目的是为Riesz势建立Sobolev不等式的推广。作为一个推论,我们得到了变指数双相泛函的Sobolev不等式。
Our aim in this paper is to establish a generalization of Sobolev’s inequality for Riesz potentials . As a corollary we obtain Sobolev’s inequality for double phase functionals with variable exponents.