Walsh平面上调幅Hilbert变换的一致有界性

Walsh平面上调幅Hilbert变换的一致有界性

李国全¹,陆善镇²

1. 天津师范大学数学科学学院, 天津300384; 2. 北京师范大学数学科学学院, 北京100875

收稿日期:2006-03-15 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 李国全

On the uniform boundedness of modulating Hilberttransforms on Walsh phase plane

LI Guo-quan¹,LU Shan-zhen²

1. College of Mathematics Science, Tianjin Normal Univ., Tianjin 300384, China;2. College of Mathematics Science, Beijing Normal Univ., Beijing 100875, China

Received:2006-03-15 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LI Guo-quan

摘要/Abstract

摘要： 摘要：给出了调幅Hilbert变换的Walsh模型,并证明了这些算子在Lp空间上的一致有界性.

关键词: Walsh位相平面, Hilbert变换, CalderrmacuteónZygmund分解

Abstract: The Walsh models for the modulating Hilbert transforms is given. The uniform boundedness of these operators on Lp spaces is also proven.

Key words: CalderrmacuteónZygmund decomposition , Hilbert transform, Walsh phase plane

李国全,陆善镇 . Walsh平面上调幅Hilbert变换的一致有界性[J]. J4, 2006, 41(6): 20-23 .

LI Guo-quan,LU Shan-zhen . On the uniform boundedness of modulating Hilberttransforms on Walsh phase plane[J]. J4, 2006, 41(6): 20-23 .

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