Boundedness of maximal operator, Hardy operator and Sobolev’s inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces

IF 0.5 4区数学 Q3 MATHEMATICS

Hiroshima Mathematical Journal Pub Date : 2021-03-01 DOI:10.32917/H2019141

F. Maeda, Y. Mizuta, T. Ohno, T. Shimomura

引用次数: 2

Abstract

Our aim in this paper is to deal with the boundedness of the HardyLittlewood maximal operator and the Hardy operator on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces and to establish a generalization of Sobolev’s inequalities for Riesz potentials of functions in such spaces.

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非齐次中心Herz-Morrey-Musielak-Orlicz空间上极大算子、Hardy算子和Sobolev不等式的有界性

本文的目的是研究非齐次中心Herz-Morrey-Musielak-Orlicz空间上的HardyLittlewood极大算子和Hardy算子的有界性，并建立函数的Riesz势的Sobolev不等式的推广。

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

Hiroshima Mathematical Journal 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： Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.