Sharp constant of hardy operators corresponding to general positive measures
文献类型：期刊论文
| 作者 | Nie,Xudong1; Yan,Dunyan2 |
| 刊名 | Journal of inequalities and applications
 |
| 出版日期 | 2018-04-10 |
| 卷号 | 2018期号:1 |
| ISSN号 | 1029-242X |
| 关键词 | Hardy operator Best constant Sharp problem 42b20 42b35 |
| 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 |
| URI标识 | http://www.irgrid.ac.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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来源：中国科学院大学
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