Inequalities for the fractional convolution operator on differential forms

The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type operator acting on differential forms are also obtained.

Detalles Bibliográficos
Autores principales: Dai, Zhimin, Li, Huacan, Li, Qunfang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061531/
https://www.ncbi.nlm.nih.gov/pubmed/30137904
http://dx.doi.org/10.1186/s13660-018-1768-x
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author Dai, Zhimin
Li, Huacan
Li, Qunfang
author_facet Dai, Zhimin
Li, Huacan
Li, Qunfang
author_sort Dai, Zhimin
collection PubMed
description The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type operator acting on differential forms are also obtained.
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spelling pubmed-60615312018-08-09 Inequalities for the fractional convolution operator on differential forms Dai, Zhimin Li, Huacan Li, Qunfang J Inequal Appl Research The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type operator acting on differential forms are also obtained. Springer International Publishing 2018-07-16 2018 /pmc/articles/PMC6061531/ /pubmed/30137904 http://dx.doi.org/10.1186/s13660-018-1768-x 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
Dai, Zhimin
Li, Huacan
Li, Qunfang
Inequalities for the fractional convolution operator on differential forms
title Inequalities for the fractional convolution operator on differential forms
title_full Inequalities for the fractional convolution operator on differential forms
title_fullStr Inequalities for the fractional convolution operator on differential forms
title_full_unstemmed Inequalities for the fractional convolution operator on differential forms
title_short Inequalities for the fractional convolution operator on differential forms
title_sort inequalities for the fractional convolution operator on differential forms
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061531/
https://www.ncbi.nlm.nih.gov/pubmed/30137904
http://dx.doi.org/10.1186/s13660-018-1768-x
work_keys_str_mv AT daizhimin inequalitiesforthefractionalconvolutionoperatorondifferentialforms
AT lihuacan inequalitiesforthefractionalconvolutionoperatorondifferentialforms
AT liqunfang inequalitiesforthefractionalconvolutionoperatorondifferentialforms

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