Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions

Suppose that the kernel K satisfies a certain Hörmander type condition. Let b be a function satisfying [Formula: see text] for [Formula: see text] , and let [Formula: see text] be a family of multilinear singular integral operators, i.e., [Formula: see text] The main purpose of this paper is to esta...

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Detalles Bibliográficos
Autor principal: Xia, Yinhong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5910476/
https://www.ncbi.nlm.nih.gov/pubmed/29706746
http://dx.doi.org/10.1186/s13660-018-1689-8
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author Xia, Yinhong
author_facet Xia, Yinhong
author_sort Xia, Yinhong
collection PubMed
description Suppose that the kernel K satisfies a certain Hörmander type condition. Let b be a function satisfying [Formula: see text] for [Formula: see text] , and let [Formula: see text] be a family of multilinear singular integral operators, i.e., [Formula: see text] The main purpose of this paper is to establish the weighted [Formula: see text] -boundedness of the variation operator and the oscillation operator for [Formula: see text] .
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spelling pubmed-59104762018-04-24 Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions Xia, Yinhong J Inequal Appl Research Suppose that the kernel K satisfies a certain Hörmander type condition. Let b be a function satisfying [Formula: see text] for [Formula: see text] , and let [Formula: see text] be a family of multilinear singular integral operators, i.e., [Formula: see text] The main purpose of this paper is to establish the weighted [Formula: see text] -boundedness of the variation operator and the oscillation operator for [Formula: see text] . Springer International Publishing 2018-04-20 2018 /pmc/articles/PMC5910476/ /pubmed/29706746 http://dx.doi.org/10.1186/s13660-018-1689-8 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
Xia, Yinhong
Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions
title Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions
title_full Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions
title_fullStr Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions
title_full_unstemmed Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions
title_short Variation and oscillation for the multilinear singular integrals satisfying Hörmander type conditions
title_sort variation and oscillation for the multilinear singular integrals satisfying hörmander type conditions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5910476/
https://www.ncbi.nlm.nih.gov/pubmed/29706746
http://dx.doi.org/10.1186/s13660-018-1689-8
work_keys_str_mv AT xiayinhong variationandoscillationforthemultilinearsingularintegralssatisfyinghormandertypeconditions

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