On Sobolev-type Inequalities on Morrey Spaces of an Integral Form

IF 0.6 4区数学 Q3 MATHEMATICS

Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI:10.11650/tjm/220203

T. Ohno, T. Shimomura

引用次数: 1

Abstract

We prove Sobolev-type inequalities for modified Riesz potentials of functions in Morrey spaces of an integral form over non-doubling metric measure spaces. Our results are new even for the doubling metric measure setting. In particular, our results extend the previous results in Morrey spaces of an integral form in the Euclidean case.

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积分形式Morrey空间上的sobolev型不等式

我们证明了非加倍度量度量空间上积分形式Morrey空间中函数的修正Riesz势的sobolev型不等式。我们的结果是新的，即使是双度量度量设置。特别地，我们的结果推广了欧几里得情况下积分形式的Morrey空间中的先前结果。

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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来源期刊

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.