Boundedness of a class of rough maximal functions

In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in [Formula: see text] , [Formula: see text] . By using these bounds and using an extrapolation argument, we establish the [Formula: see text] boundedness of the maxima...

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Detalles Bibliográficos
Autores principales: Ali, Mohammed, Al-mohammed, Omar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244725/
https://www.ncbi.nlm.nih.gov/pubmed/30839785
http://dx.doi.org/10.1186/s13660-018-1900-y
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author Ali, Mohammed
Al-mohammed, Omar
author_facet Ali, Mohammed
Al-mohammed, Omar
author_sort Ali, Mohammed
collection PubMed
description In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in [Formula: see text] , [Formula: see text] . By using these bounds and using an extrapolation argument, we establish the [Formula: see text] boundedness of the maximal operators when their kernels are in [Formula: see text] or in the block space [Formula: see text] . Our main results represent significant improvements as well as natural extensions of what was known previously.
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spelling pubmed-62447252018-12-04 Boundedness of a class of rough maximal functions Ali, Mohammed Al-mohammed, Omar J Inequal Appl Research In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in [Formula: see text] , [Formula: see text] . By using these bounds and using an extrapolation argument, we establish the [Formula: see text] boundedness of the maximal operators when their kernels are in [Formula: see text] or in the block space [Formula: see text] . Our main results represent significant improvements as well as natural extensions of what was known previously. Springer International Publishing 2018-11-09 2018 /pmc/articles/PMC6244725/ /pubmed/30839785 http://dx.doi.org/10.1186/s13660-018-1900-y 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
Ali, Mohammed
Al-mohammed, Omar
Boundedness of a class of rough maximal functions
title Boundedness of a class of rough maximal functions
title_full Boundedness of a class of rough maximal functions
title_fullStr Boundedness of a class of rough maximal functions
title_full_unstemmed Boundedness of a class of rough maximal functions
title_short Boundedness of a class of rough maximal functions
title_sort boundedness of a class of rough maximal functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244725/
https://www.ncbi.nlm.nih.gov/pubmed/30839785
http://dx.doi.org/10.1186/s13660-018-1900-y
work_keys_str_mv AT alimohammed boundednessofaclassofroughmaximalfunctions
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