Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2002; 39(3): 397-410

Printed May 1, 2002

Copyright © The Korean Mathematical Society.

Inequalities for vector-valued maximal functions over locally compact Vilenkin groups

Lan Senhua and Liu Lanzhe

Lishui Teachers’ College and Hunan University

Abstract

In this paper, some inequalities for vector-valued maximal functions over locally compact Vienkin groups are obtained.

Keywords: Vilenkin group, Hardy-Littlewood maximal operator, Herz space, weak Herz space

MSC numbers: 43A75