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	Sharp constant of hardy operators corresponding to general positive measures
	Nie,Xudong1; Yan,Dunyan2
刊名	Journal of inequalities and applications
	2018-04-10
卷号	2018期号:1
关键词	Hardy operator Best constant Sharp problem 42b20 42b35
ISSN号	1029-242X
DOI	10.1186/s13660-018-1660-8
通讯作者	Nie,xudong(nxd2017@outlook.com)
英文摘要	Abstractwe investigate a new kind of hardy operator hμ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$h_{\mu}$\end{document} with respect to arbitrary positive measures μ and prove that hμ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$h_{\mu}$\end{document} is bounded on lp(dμ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$l^{p}(d\mu)$\end{document} with an upper constant p/(p?1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$p/(p-1)$\end{document}. moreover, we characterize a sufficient condition about the measure which makes p/(p?1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$p/(p-1)$\end{document} to be the lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$l^{p}$\end{document}-norm of hμ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$h_{\mu}$\end{document}.
语种	英语
出版者	Springer International Publishing
WOS记录号	BMC:10.1186/S13660-018-1660-8
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2374352
专题	中国科学院大学
通讯作者	Nie,Xudong
作者单位	1. 2.
推荐引用方式 GB/T 7714	Nie,Xudong,Yan,Dunyan. Sharp constant of hardy operators corresponding to general positive measures[J]. Journal of inequalities and applications,2018,2018(1).
APA	Nie,Xudong,&Yan,Dunyan.(2018).Sharp constant of hardy operators corresponding to general positive measures.Journal of inequalities and applications,2018(1).
MLA	Nie,Xudong,et al."Sharp constant of hardy operators corresponding to general positive measures".Journal of inequalities and applications 2018.1(2018).

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