Lipschitz estimates for commutators of singular integral operators associated with the sections

Let H be Monge-Ampère singular integral operator, [Formula: see text] , and [Formula: see text] . It is proved that the commutator [Formula: see text] is bounded from [Formula: see text] to [Formula: see text] for [Formula: see text] and from [Formula: see text] to [Formula: see text] for [Formula:...

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Detalles Bibliográficos
Autores principales: Wang, Guangqing, Zhou, Jiang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5266786/
https://www.ncbi.nlm.nih.gov/pubmed/28190940
http://dx.doi.org/10.1186/s13660-017-1299-x
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author Wang, Guangqing
Zhou, Jiang
author_facet Wang, Guangqing
Zhou, Jiang
author_sort Wang, Guangqing
collection PubMed
description Let H be Monge-Ampère singular integral operator, [Formula: see text] , and [Formula: see text] . It is proved that the commutator [Formula: see text] is bounded from [Formula: see text] to [Formula: see text] for [Formula: see text] and from [Formula: see text] to [Formula: see text] for [Formula: see text] . For the extreme case [Formula: see text] , a weak estimate is given.
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spelling pubmed-52667862017-02-09 Lipschitz estimates for commutators of singular integral operators associated with the sections Wang, Guangqing Zhou, Jiang J Inequal Appl Research Let H be Monge-Ampère singular integral operator, [Formula: see text] , and [Formula: see text] . It is proved that the commutator [Formula: see text] is bounded from [Formula: see text] to [Formula: see text] for [Formula: see text] and from [Formula: see text] to [Formula: see text] for [Formula: see text] . For the extreme case [Formula: see text] , a weak estimate is given. Springer International Publishing 2017-01-25 2017 /pmc/articles/PMC5266786/ /pubmed/28190940 http://dx.doi.org/10.1186/s13660-017-1299-x Text en © The Author(s) 2017 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
Wang, Guangqing
Zhou, Jiang
Lipschitz estimates for commutators of singular integral operators associated with the sections
title Lipschitz estimates for commutators of singular integral operators associated with the sections
title_full Lipschitz estimates for commutators of singular integral operators associated with the sections
title_fullStr Lipschitz estimates for commutators of singular integral operators associated with the sections
title_full_unstemmed Lipschitz estimates for commutators of singular integral operators associated with the sections
title_short Lipschitz estimates for commutators of singular integral operators associated with the sections
title_sort lipschitz estimates for commutators of singular integral operators associated with the sections
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5266786/
https://www.ncbi.nlm.nih.gov/pubmed/28190940
http://dx.doi.org/10.1186/s13660-017-1299-x
work_keys_str_mv AT wangguangqing lipschitzestimatesforcommutatorsofsingularintegraloperatorsassociatedwiththesections
AT zhoujiang lipschitzestimatesforcommutatorsofsingularintegraloperatorsassociatedwiththesections

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