Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\bf R}^{n}$\end{document}

被引:0
作者
Yoshihiro Mizuta
Eiichi Nakai
Takao Ohno
Tetsu Shimomura
机构
[1] Hiroshima University,Department of Mathematics, Graduate School of Science
[2] Ibaraki University,Department of Mathematics
[3] Oita University,Faculty of Education and Welfare Science
[4] Hiroshima University,Department of Mathematics, Graduate School of Education
关键词
Maximal functions; Musielak-Orlicz-Morrey space of variable exponent; Riesz potential; Sobolev embeddings; Sobolev’s inequality; 31B15; 46E30;
D O I
10.1007/s13163-011-0074-7
中图分类号
学科分类号
摘要
Our aim in this paper is to deal with Sobolev embeddings for Riesz potentials of variable order with functions in variable exponent Musielak-Orlicz-Morrey spaces.
引用
收藏
页码:413 / 434
页数:21
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  • [53] Ohno T.(undefined)Fractional integration in Orlicz spaces. I undefined undefined undefined-undefined
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  • [56] Ohno T.(undefined)On a progress in the theory of Lebesgue spaces with variable exponent: maximal and singular operators undefined undefined undefined-undefined
  • [57] Shimomura T.(undefined)A remark on Morrey potential undefined undefined undefined-undefined
  • [58] Mizuta Y.(undefined)undefined undefined undefined undefined-undefined
  • [59] Nakai E.(undefined)undefined undefined undefined undefined-undefined
  • [60] Ohno T.(undefined)undefined undefined undefined undefined-undefined