Some Sharp Weighted Estimates for Multilinear Operators

Some Sharp Weighted Estimates for Multilinear Operators

In this paper, we establish a sharp inequality for some multilinear operators related to certain integral operators. The operators include Calderón-Zygmund singular integral operator, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator. As application, we obtain the weighted...

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Bibliographic Details
Main Author: Liu Lanzhe
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2005-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Multilinear Operator
Calderón-Zygmund operator
Littlewood-Paley operator
Marcinkiewicz operator
Bochner-Riesz operator
Sharp estimate
BMO.
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7465/4293
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spelling doaj-aa963cf200bb4c22a81e4307039e58fc2020-11-24T22:25:29ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882005-11-01231-299114Some Sharp Weighted Estimates for Multilinear OperatorsLiu LanzheIn this paper, we establish a sharp inequality for some multilinear operators related to certain integral operators. The operators include Calderón-Zygmund singular integral operator, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator. As application, we obtain the weighted norm inequalities and Llog L type estimate for the multilinear operators.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7465/4293Multilinear OperatorCalderón-Zygmund operatorLittlewood-Paley operatorMarcinkiewicz operatorBochner-Riesz operatorSharp estimateBMO.
collection DOAJ
language English
format Article
sources DOAJ
author Liu Lanzhe
spellingShingle Liu Lanzhe
Some Sharp Weighted Estimates for Multilinear Operators
Boletim da Sociedade Paranaense de Matemática
Multilinear Operator
Calderón-Zygmund operator
Littlewood-Paley operator
Marcinkiewicz operator
Bochner-Riesz operator
Sharp estimate
BMO.
author_facet Liu Lanzhe
author_sort Liu Lanzhe
title Some Sharp Weighted Estimates for Multilinear Operators
title_short Some Sharp Weighted Estimates for Multilinear Operators
title_full Some Sharp Weighted Estimates for Multilinear Operators
title_fullStr Some Sharp Weighted Estimates for Multilinear Operators
title_full_unstemmed Some Sharp Weighted Estimates for Multilinear Operators
title_sort some sharp weighted estimates for multilinear operators
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2005-11-01
description In this paper, we establish a sharp inequality for some multilinear operators related to certain integral operators. The operators include Calderón-Zygmund singular integral operator, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator. As application, we obtain the weighted norm inequalities and Llog L type estimate for the multilinear operators.
topic Multilinear Operator
Calderón-Zygmund operator
Littlewood-Paley operator
Marcinkiewicz operator
Bochner-Riesz operator
Sharp estimate
BMO.
url http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7465/4293
work_keys_str_mv AT liulanzhe somesharpweightedestimatesformultilinearoperators
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