Hardy type inequalities on the sphere

In this paper, we consider the [Formula: see text] -Hardy inequalities on the sphere. By the divergence theorem, we establish the [Formula: see text] -Hardy inequalities on the sphere. Furthermore, we also obtain their best constants. Our results can be regarded as the extension of Xiao’s (J. Math....

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Detalles Bibliográficos
Autores principales: Sun, Xiaomei, Pan, Fan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487932/
https://www.ncbi.nlm.nih.gov/pubmed/28680251
http://dx.doi.org/10.1186/s13660-017-1424-x
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author Sun, Xiaomei
Pan, Fan
author_facet Sun, Xiaomei
Pan, Fan
author_sort Sun, Xiaomei
collection PubMed
description In this paper, we consider the [Formula: see text] -Hardy inequalities on the sphere. By the divergence theorem, we establish the [Formula: see text] -Hardy inequalities on the sphere. Furthermore, we also obtain their best constants. Our results can be regarded as the extension of Xiao’s (J. Math. Inequal. 10:793-805, 2016).
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spelling pubmed-54879322017-07-03 Hardy type inequalities on the sphere Sun, Xiaomei Pan, Fan J Inequal Appl Research In this paper, we consider the [Formula: see text] -Hardy inequalities on the sphere. By the divergence theorem, we establish the [Formula: see text] -Hardy inequalities on the sphere. Furthermore, we also obtain their best constants. Our results can be regarded as the extension of Xiao’s (J. Math. Inequal. 10:793-805, 2016). Springer International Publishing 2017-06-24 2017 /pmc/articles/PMC5487932/ /pubmed/28680251 http://dx.doi.org/10.1186/s13660-017-1424-x Text en © The Author(s) 2017 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
Sun, Xiaomei
Pan, Fan
Hardy type inequalities on the sphere
title Hardy type inequalities on the sphere
title_full Hardy type inequalities on the sphere
title_fullStr Hardy type inequalities on the sphere
title_full_unstemmed Hardy type inequalities on the sphere
title_short Hardy type inequalities on the sphere
title_sort hardy type inequalities on the sphere
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487932/
https://www.ncbi.nlm.nih.gov/pubmed/28680251
http://dx.doi.org/10.1186/s13660-017-1424-x
work_keys_str_mv AT sunxiaomei hardytypeinequalitiesonthesphere
AT panfan hardytypeinequalitiesonthesphere

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