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Littlewood-Paley Operators on Morrey Spaces with Variable Exponent

By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and g (μ)*-functions, and their commu...

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Detalles Bibliográficos
Autores principales: Tao, Shuangping, Wang, Lijuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4142311/
https://www.ncbi.nlm.nih.gov/pubmed/25180207
http://dx.doi.org/10.1155/2014/790671
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author Tao, Shuangping
Wang, Lijuan
author_facet Tao, Shuangping
Wang, Lijuan
author_sort Tao, Shuangping
collection PubMed
description By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and g (μ)*-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent.
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spelling pubmed-41423112014-09-01 Littlewood-Paley Operators on Morrey Spaces with Variable Exponent Tao, Shuangping Wang, Lijuan ScientificWorldJournal Research Article By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and g (μ)*-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent. Hindawi Publishing Corporation 2014 2014-08-07 /pmc/articles/PMC4142311/ /pubmed/25180207 http://dx.doi.org/10.1155/2014/790671 Text en Copyright © 2014 S. Tao and L. Wang. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Tao, Shuangping
Wang, Lijuan
Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_full Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_fullStr Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_full_unstemmed Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_short Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_sort littlewood-paley operators on morrey spaces with variable exponent
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4142311/
https://www.ncbi.nlm.nih.gov/pubmed/25180207
http://dx.doi.org/10.1155/2014/790671
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