Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators

Let [Formula: see text] be a generalized Calderón–Zygmund operator or [Formula: see text] ( the identity operator), let [Formula: see text] and [Formula: see text] be the linear operators, and let [Formula: see text] . Denote the Toeplitz type operator by [Formula: see text] where [Formula: see text...

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Detalles Bibliográficos
Autores principales: Tang, Yongli, Ban, Tao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4988963/
https://www.ncbi.nlm.nih.gov/pubmed/27588245
http://dx.doi.org/10.1186/s40064-016-3022-7
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author Tang, Yongli
Ban, Tao
author_facet Tang, Yongli
Ban, Tao
author_sort Tang, Yongli
collection PubMed
description Let [Formula: see text] be a generalized Calderón–Zygmund operator or [Formula: see text] ( the identity operator), let [Formula: see text] and [Formula: see text] be the linear operators, and let [Formula: see text] . Denote the Toeplitz type operator by [Formula: see text] where [Formula: see text] and [Formula: see text] is fractional integral operator. In this paper, we establish the sharp maximal function estimates for [Formula: see text] when b belongs to weighted Lipschitz function space, and the weighted norm inequalities of [Formula: see text] on weighted Lebesgue space are obtained.
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spelling pubmed-49889632016-09-01 Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators Tang, Yongli Ban, Tao Springerplus Research Let [Formula: see text] be a generalized Calderón–Zygmund operator or [Formula: see text] ( the identity operator), let [Formula: see text] and [Formula: see text] be the linear operators, and let [Formula: see text] . Denote the Toeplitz type operator by [Formula: see text] where [Formula: see text] and [Formula: see text] is fractional integral operator. In this paper, we establish the sharp maximal function estimates for [Formula: see text] when b belongs to weighted Lipschitz function space, and the weighted norm inequalities of [Formula: see text] on weighted Lebesgue space are obtained. Springer International Publishing 2016-08-17 /pmc/articles/PMC4988963/ /pubmed/27588245 http://dx.doi.org/10.1186/s40064-016-3022-7 Text en © The Author(s) 2016 Open AccessThis 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
Tang, Yongli
Ban, Tao
Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators
title Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators
title_full Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators
title_fullStr Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators
title_full_unstemmed Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators
title_short Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators
title_sort weighted norm inequalities for toeplitz type operators associated to generalized calderón–zygmund operators
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4988963/
https://www.ncbi.nlm.nih.gov/pubmed/27588245
http://dx.doi.org/10.1186/s40064-016-3022-7
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AT bantao weightednorminequalitiesfortoeplitztypeoperatorsassociatedtogeneralizedcalderonzygmundoperators

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