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Endpoint Estimates for Hardy Operator＇s Conjugate Operator with Power Weight on n-Dimensional Space
  • ISSN号：1672-4070
  • 期刊名称：《分析理论与应用：英文刊》
  • 时间：0
  • 分类：O178[理学—数学;理学—基础数学] O177.2[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Mathematics Science, University of Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China, [2]School of Mathematics Science, Heilongjiang University, Harbin 150080, Heilongjiang, China
  • 相关基金：Supported in part by the Natural Science Foundation of China under grant 11071250 and 11271162.
作者： Xudong Nie[1], Shimo Wang[2], Dunyan Yan[1]
关键词： HARDY算子, 共轭算子, N维空间, 端点, 重量, 功率, 估计, 积分不等式, Conjugate operator, power weight, endpoint estimate.
中文摘要：

In this paper, we establish two integral inequalities for Hardy operator’s conjugate operator at the endpoint on n-dimensional space. The operator H n is bounded from L1 xα(Gn) to Lq xβ(Gn) with the bound explicitly worked out and the similar result holds forH n.

英文摘要：

In this paper, we establish two integral inequalities for Hardy operator＇s conjugate operator at the endpoint on n-dimensional space. The operator Hn is bounded from Lxα1 （Gn） to Lxβq （Gn） with the bound explicitly worked out and the similar result holds for Hn＊.

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期刊信息
  • 《分析理论与应用：英文刊》
  • 主管单位:江苏省教育厅
  • 主办单位:南京大学
  • 主编：徐利治
  • 地址：南京市汉口路22号南京大学鼓楼校区西大楼123房
  • 邮编：210093
  • 邮箱：zjw@nju.edu.cn
  • 电话：025-83593684
  • 国际标准刊号：ISSN：1672-4070
  • 国内统一刊号：ISSN：32-1631/O1
  • 邮发代号:
  • 获奖情况:
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  • 被引量:84