一类加权Hardy-Steklov平均算子的有界性

J4 ›› 2011, Vol. 46 ›› Issue (6): 41-44.

一类加权Hardy-Steklov平均算子的有界性

郑庆玉, 张蕾

临沂大学理学院, 山东临沂 276005

收稿日期:2010-12-23 出版日期:2011-06-16 发布日期:2011-12-19
作者简介:郑庆玉(1958- ),男,教授,研究方向为调和分析及应用.Email:ssgzl888@163.com
基金资助:
国家自然科学基金资助项目(10901076);山东省自然科学基金资助项目(Q2008A01)

Boundedness of a class of weighted Hardy-Steklov averaging operators

ZHENG Qing-yu, ZHANG Lei

School of Science, Linyi University, Linyi 276005, Shandong, China

Received:2010-12-23 Online:2011-06-16 Published:2011-12-19

摘要/Abstract

摘要：

给出一类加权Hardy-Steklov平均算子在Lp和BMO空间上关于权函数有界性的充要条件, 并给出其算子范数, 为Hardy-Steklov平均算子在股票市场中应用提供重要理论分析工具。

关键词: 加权Hardy-Steklov算子;算子范数; Hardy-Littlewood平均算子

Abstract:

The sufficient and necessary conditions of boundedness are given about the weights of a class of weighted HardySteklov operators on both Lp and BMO spaces. Also, the corresponding operator norms are obtained, which provide a considerable important technical analysis in the study of predicting the future of a stock price.

Key words: weighted Hardy-Steklov operator; operator norm; Hardy-Littlewood averaging operator

郑庆玉, 张蕾. 一类加权Hardy-Steklov平均算子的有界性[J]. J4, 2011, 46(6): 41-44.

ZHENG Qing-yu, ZHANG Lei. Boundedness of a class of weighted Hardy-Steklov averaging operators[J]. J4, 2011, 46(6): 41-44.

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