Sharp bounds for hardy type operators on higher-dimensional product spaces
文献类型:期刊论文
作者 | Lu,Shanzhen1; Yan,Dunyan2; Zhao,Fayou3 |
刊名 | Journal of inequalities and applications
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出版日期 | 2013-04-03 |
卷号 | 2013期号:1 |
关键词 | Sharp bound Product space The fractional hardy operator |
ISSN号 | 1029-242X |
DOI | 10.1186/1029-242x-2013-148 |
通讯作者 | Zhao,fayou(fyzhao@shu.edu.cn) |
英文摘要 | Abstracta new class of hardy type operator defined on a higher-dimensional product space is discussed. it includes two different kinds of the classical hardy operators. in addition, we also consider the fractional hardy operator hβ. the bound of operator hβ from lp to lq is explicitly worked out. especially, the bound of operator hβ from l1 to lnn?β,∞ is sharp.msc:26d10, 26d15, 42b99. |
语种 | 英语 |
WOS记录号 | BMC:10.1186/1029-242X-2013-148 |
出版者 | Springer International Publishing |
URI标识 | http://www.irgrid.ac.cn/handle/1471x/2374330 |
专题 | 中国科学院大学 |
通讯作者 | Zhao,Fayou |
作者单位 | 1.Beijing Normal University; School of Mathematical Sciences 2.University of Chinese Academy of Sciences; School of Mathematics Science 3.Shanghai University; Department of Mathematics |
推荐引用方式 GB/T 7714 | Lu,Shanzhen,Yan,Dunyan,Zhao,Fayou. Sharp bounds for hardy type operators on higher-dimensional product spaces[J]. Journal of inequalities and applications,2013,2013(1). |
APA | Lu,Shanzhen,Yan,Dunyan,&Zhao,Fayou.(2013).Sharp bounds for hardy type operators on higher-dimensional product spaces.Journal of inequalities and applications,2013(1). |
MLA | Lu,Shanzhen,et al."Sharp bounds for hardy type operators on higher-dimensional product spaces".Journal of inequalities and applications 2013.1(2013). |
入库方式: iSwitch采集
来源:中国科学院大学
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