Orlicz Spaces and Amenability of Hypergroups

被引：0
作者：
Vishvesh Kumar
机构：
[1] Ghent University,Department of Mathematics: Analysis, Logic and Discrete Mathematics
来源：
Bulletin of the Iranian Mathematical Society | 2020年 / 46卷
关键词：
Amenable hypergroups; Orlicz spaces; Rao–Reiter condition ; Rao–Reiter–Lasser condition ; -Reiter’s condition ; 43A62; 46E30; 43A07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note, we introduce and study some generalizations of Reiter’s condition (Pp)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(P_p)$$\end{document} and their modifications in the context of Orlicz spaces. We use these conditions to study amenability of hypergroups. We end this paper with a result for polynomial hypergroups.
引用
收藏
页码：1035 / 1043
页数：8
相关论文
共 20 条
[1]  
Alaghmandan M(2017)Amenability notions of hypergroups and some applications to locally compact groups Math. Nachr. 290 2088-2099
[2]  
Filbir F(2004)Reiter’s condition Monatsh Math. 143 189-203
[3]  
Lasser R(2000) and approximate identities for polynomial hypergroups Ill. J. Math. 44 20-32
[4]  
Szwarc R(2010)Reiter’s condition Mediterr. J. Math. 7 75-88
[5]  
Filbir F(1975) and the Plancherel measure for hypergroups Adv. Math. 18 1-101
[6]  
Lasser R(2013)Means and Følner condition on polynomial hypergroups Sib. Èlektron. Mat. Izv. 10 583-590
[7]  
Hösel V(2019)Spaces with an abstract convolution of measures Publ. Math. Debrecen 94 31-47
[8]  
Hofmann M(2011)Amenability of closed subgroups and Orlicz spaces Manotsh Math. 163 327-338
[9]  
Lasser R(2001)Orlicz spaces on hypergroups Nonlinear Anal. 47 3599-3615
[10]  
Jewett RI(1996)Reiter’s condition for amenable hypergroups Mem. Am. Math. Soc. 124 xii+68-46
12