积分形式Musielak-Orlicz-Morrey空间上的trudinger型不等式

IF 0.3 4区数学 Q4 MATHEMATICS Mathematica Scandinavica Pub Date : 2022-02-24 DOI:10.7146/math.scand.a-129245

T. Ohno, T. Shimomura

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引用次数: 0

摘要

本文的目的是给出非加倍度量度量空间上积分形式的Musielak-Orlicz-Morrey空间中函数的Riesz势的trudinger型不等式。我们的结果是新的，即使是双度量度量设置。作为推论，我们给出了变指数双相函数框架下积分形式的Musielak-Orlicz-Morrey空间上的trudinger型不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Trudinger-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form

Our aim in this paper is to give Trudinger-type inequalities for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces. Our result are new even for the doubling metric measure setting. As a corollary, we give Trudinger-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form in the framework of double phase functions with variable exponents.

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来源期刊

Mathematica Scandinavica 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical societies in Scandinavia. It is the aim of the journal to publish high quality mathematical articles of moderate length. Mathematica Scandinavica publishes about 640 pages per year. For 2020, these will be published as one volume consisting of 3 issues (of 160, 240 and 240 pages, respectively), enabling a slight increase in article pages compared to previous years. The journal aims to publish the first issue by the end of March. Subsequent issues will follow at intervals of approximately 4 months. All back volumes are available in paper and online from 1953. There is free access to online articles more than five years old.