数理化科学

Young不等式的一种推广

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  • 1. 上海大学理学院, 上海200444; 2. 中国石油大学(华东) 基础数学系, 山东青岛266580
吴淑君(1981—), 女, 博士, 研究方向为空间理论. E-mail: wushujun1981@163.com

收稿日期: 2014-12-01

  网络出版日期: 2016-08-30

基金资助

国家自然科学基金资助项目(11271245)

A class of extension of the Young inequality

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  • 1. College of Sciences, Shanghai University, Shanghai 200444, China;
    2. Department of Basic Mathematics, China University of Petroleum, Qingdao 266580, Shandong, China

Received date: 2014-12-01

  Online published: 2016-08-30

摘要

首先修正了专著《Orlicz 空间几何理论》中的定理1.10, 对修正后的结果给出了严格的数学证明, 借助此结果证明了一类推广的Young不等式, 从而完善了Young不等式的理论体系.

本文引用格式

吴淑君1,2, 石忠锐1 . Young不等式的一种推广[J]. 上海大学学报(自然科学版), 2016 , 22(4) : 461 -468 . DOI: 10.3969/j.issn.1007-2861.2015.01.014

Abstract

The proof of a revise for Theorem 1.10 in Geometry of Orlicz Spaces is presented. A class of extension of the Young inequality is then established based on the revision to improve the Young inequality.

参考文献

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