Banach函数空间的Hölder不等式

收稿日期:1999-11-02 出版日期:2000-09-30 发布日期:2024-07-25
作者简介:YU Jin-wei（1963－）,male,native of Jiaonan,Shandong,M．S．D．,an associate professor of Qingdao Institute of Architecture and Engineering,engages in founctional analysis and probability；ZHAO Shun-ren（1941－）,male,native of Jiaonan,Shandong,M．S．D．,an associate professor of Qingdao Institute of Architecture and Engineering,engages in probability．

Received:1999-11-02 Online:2000-09-30 Published:2024-07-25
About author:YU Jin-wei（1963－）,male,native of Jiaonan,Shandong,M．S．D．,an associate professor of Qingdao Institute of Architecture and Engineering,engages in founctional analysis and probability；ZHAO Shun-ren（1941－）,male,native of Jiaonan,Shandong,M．S．D．,an associate professor of Qingdao Institute of Architecture and Engineering,engages in probability．

摘要： 本文给出了基本不等式...的一个确界形式 ,以此统一得出Banach函数空间L^p(E ,u) ,L^∞(E ,u) ,L^∞(R) ,C(R)等的Holder函数不等式 .

关键词: Banach函数空间, 范数, H?lder不等式

Abstract: 本文给出了基本不等式...的一个确界形式 ,以此统一得出Banach函数空间L^p(E ,u) ,L^∞(E ,u) ,L^∞(R) ,C(R)等的Holder函数不等式 .

Key words: Banach函数空间, 范数, H?older不等式,

中图分类号:

于进伟, 赵舜仁 . Banach函数空间的Hölder不等式[J]. 数学季刊, 2000, 15(3): 96-99.

YU Jin-wei, ZHAO Shun-ren. Hölder Inequation in Banach Space #br#[J]. Chinese Quarterly Journal of Mathematics, 2000, 15(3): 96-99.

[1]	曾六川. 鞅的极大函数的L_p-范数的上界[J]. 数学季刊, 2002, 16(1): 77-84.
[2]	赵舜仁 . 内积与范数[J]. 数学季刊, 2000, 15(3): 39-43.

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