局部紧Vilenkin群上Herz空间的一个分解定理

数学季刊 ›› 2005, Vol. 20 ›› Issue (2): 141-146.

局部紧Vilenkin群上Herz空间的一个分解定理

Department of Mathematics, Lishui Teacher's College, Lishui 323000, China; College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

收稿日期:2004-02-12 出版日期:2005-06-30 发布日期:2024-01-19
作者简介:LAN Sen-hua(1966-),male,native of Lishui,Zhejiang,an associate professor of Lishui Teacher's College,engages in harmonic analysis;LI Rui(1962-),female,native of Kaifeng,Henan,an associate professor of Henan University,engages in harmonic analysis and wavelet analysis.
基金资助:
Supported by the Natural Science Foundation of Zhejiang Province(102005) Supported by the Natural Science Foundation of Henan University(XK03YBSX002)；

A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups

Department of Mathematics, Lishui Teacher's College, Lishui 323000, China; College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

Received:2004-02-12 Online:2005-06-30 Published:2024-01-19
About author:LAN Sen-hua(1966-),male,native of Lishui,Zhejiang,an associate professor of Lishui Teacher's College,engages in harmonic analysis;LI Rui(1962-),female,native of Kaifeng,Henan,an associate professor of Henan University,engages in harmonic analysis and wavelet analysis.
Supported by:
Supported by the Natural Science Foundation of Zhejiang Province(102005) Supported by the Natural Science Foundation of Henan University(XK03YBSX002)；

摘要/Abstract

摘要： In this paper, by applying a vector-valued inequality we obtained a decomposition theorem on Herz spaces over locally compact Vilenkin groups with new range 0 < q≤1.

关键词: Vilenkin group, Herz space, vector-valued inequality

Abstract: In this paper, by applying a vector-valued inequality we obtained a decomposition theorem on Herz spaces over locally compact Vilenkin groups with new range 0 < q≤1.

Key words: Vilenkin group, Herz space, vector-valued inequality

中图分类号:

O177.3

蓝森华, 李锐. 局部紧Vilenkin群上Herz空间的一个分解定理[J]. 数学季刊, 2005, 20(2): 141-146.

LAN Sen-hua, LI Rui . A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(2): 141-146.

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