Sharp constant of Hardy operators corresponding to general positive measures

We investigate a new kind of Hardy operator [Formula: see text] with respect to arbitrary positive measures μ and prove that [Formula: see text] is bounded on [Formula: see text] with an upper constant [Formula: see text] . Moreover, we characterize a sufficient condition about the measure which mak...

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Detalles Bibliográficos
Autores principales: Nie, Xudong, Yan, Dunyan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5891599/
https://www.ncbi.nlm.nih.gov/pubmed/29674834
http://dx.doi.org/10.1186/s13660-018-1660-8
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author Nie, Xudong
Yan, Dunyan
author_facet Nie, Xudong
Yan, Dunyan
author_sort Nie, Xudong
collection PubMed
description We investigate a new kind of Hardy operator [Formula: see text] with respect to arbitrary positive measures μ and prove that [Formula: see text] is bounded on [Formula: see text] with an upper constant [Formula: see text] . Moreover, we characterize a sufficient condition about the measure which makes [Formula: see text] to be the [Formula: see text] -norm of [Formula: see text] .
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spelling pubmed-58915992018-04-17 Sharp constant of Hardy operators corresponding to general positive measures Nie, Xudong Yan, Dunyan J Inequal Appl Research We investigate a new kind of Hardy operator [Formula: see text] with respect to arbitrary positive measures μ and prove that [Formula: see text] is bounded on [Formula: see text] with an upper constant [Formula: see text] . Moreover, we characterize a sufficient condition about the measure which makes [Formula: see text] to be the [Formula: see text] -norm of [Formula: see text] . Springer International Publishing 2018-04-10 2018 /pmc/articles/PMC5891599/ /pubmed/29674834 http://dx.doi.org/10.1186/s13660-018-1660-8 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Nie, Xudong
Yan, Dunyan
Sharp constant of Hardy operators corresponding to general positive measures
title Sharp constant of Hardy operators corresponding to general positive measures
title_full Sharp constant of Hardy operators corresponding to general positive measures
title_fullStr Sharp constant of Hardy operators corresponding to general positive measures
title_full_unstemmed Sharp constant of Hardy operators corresponding to general positive measures
title_short Sharp constant of Hardy operators corresponding to general positive measures
title_sort sharp constant of hardy operators corresponding to general positive measures
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5891599/
https://www.ncbi.nlm.nih.gov/pubmed/29674834
http://dx.doi.org/10.1186/s13660-018-1660-8
work_keys_str_mv AT niexudong sharpconstantofhardyoperatorscorrespondingtogeneralpositivemeasures
AT yandunyan sharpconstantofhardyoperatorscorrespondingtogeneralpositivemeasures

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