Some weighted inequalities for Hausdorff operators and commutators

In this paper, we consider the problem of boundedness of Hausdorff operator on weighted central Morrey spaces. In particular, we obtain sharp bounds for Hausdorff operators on power weighted central Morrey spaces. Analogous results for the commutators of Hausdorff operators when the symbol functions...

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Detalles Bibliográficos
Autores principales: Hussain, Amjad, Ajaib, Amna
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5756295/
https://www.ncbi.nlm.nih.gov/pubmed/29367818
http://dx.doi.org/10.1186/s13660-017-1588-4
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author Hussain, Amjad
Ajaib, Amna
author_facet Hussain, Amjad
Ajaib, Amna
author_sort Hussain, Amjad
collection PubMed
description In this paper, we consider the problem of boundedness of Hausdorff operator on weighted central Morrey spaces. In particular, we obtain sharp bounds for Hausdorff operators on power weighted central Morrey spaces. Analogous results for the commutators of Hausdorff operators when the symbol functions belong to weighted central-BMO spaces are obtained as well.
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spelling pubmed-57562952018-01-22 Some weighted inequalities for Hausdorff operators and commutators Hussain, Amjad Ajaib, Amna J Inequal Appl Research In this paper, we consider the problem of boundedness of Hausdorff operator on weighted central Morrey spaces. In particular, we obtain sharp bounds for Hausdorff operators on power weighted central Morrey spaces. Analogous results for the commutators of Hausdorff operators when the symbol functions belong to weighted central-BMO spaces are obtained as well. Springer International Publishing 2018-01-05 2018 /pmc/articles/PMC5756295/ /pubmed/29367818 http://dx.doi.org/10.1186/s13660-017-1588-4 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
Hussain, Amjad
Ajaib, Amna
Some weighted inequalities for Hausdorff operators and commutators
title Some weighted inequalities for Hausdorff operators and commutators
title_full Some weighted inequalities for Hausdorff operators and commutators
title_fullStr Some weighted inequalities for Hausdorff operators and commutators
title_full_unstemmed Some weighted inequalities for Hausdorff operators and commutators
title_short Some weighted inequalities for Hausdorff operators and commutators
title_sort some weighted inequalities for hausdorff operators and commutators
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5756295/
https://www.ncbi.nlm.nih.gov/pubmed/29367818
http://dx.doi.org/10.1186/s13660-017-1588-4
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