Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text] -balls

In this paper we investigate the endpoint regularity of the discrete m-sublinear fractional maximal operator associated with [Formula: see text] -balls, both in the centered and uncentered versions. We show that these operators map [Formula: see text] into [Formula: see text] boundedly and continuou...

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Detalles Bibliográficos
Autor principal: Liu, Feng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5801474/
https://www.ncbi.nlm.nih.gov/pubmed/29456416
http://dx.doi.org/10.1186/s13660-018-1627-9
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author Liu, Feng
author_facet Liu, Feng
author_sort Liu, Feng
collection PubMed
description In this paper we investigate the endpoint regularity of the discrete m-sublinear fractional maximal operator associated with [Formula: see text] -balls, both in the centered and uncentered versions. We show that these operators map [Formula: see text] into [Formula: see text] boundedly and continuously. Here [Formula: see text] represents the set of functions of bounded variation defined on [Formula: see text] .
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spelling pubmed-58014742018-02-14 Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text] -balls Liu, Feng J Inequal Appl Research In this paper we investigate the endpoint regularity of the discrete m-sublinear fractional maximal operator associated with [Formula: see text] -balls, both in the centered and uncentered versions. We show that these operators map [Formula: see text] into [Formula: see text] boundedly and continuously. Here [Formula: see text] represents the set of functions of bounded variation defined on [Formula: see text] . Springer International Publishing 2018-02-06 2018 /pmc/articles/PMC5801474/ /pubmed/29456416 http://dx.doi.org/10.1186/s13660-018-1627-9 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
Liu, Feng
Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text] -balls
title Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text] -balls
title_full Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text] -balls
title_fullStr Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text] -balls
title_full_unstemmed Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text] -balls
title_short Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text] -balls
title_sort endpoint regularity of discrete multisublinear fractional maximal operators associated with [formula: see text] -balls
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5801474/
https://www.ncbi.nlm.nih.gov/pubmed/29456416
http://dx.doi.org/10.1186/s13660-018-1627-9
work_keys_str_mv AT liufeng endpointregularityofdiscretemultisublinearfractionalmaximaloperatorsassociatedwithformulaseetextballs

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