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:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7465/4293
Description
Summary: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.
ISSN:0037-8712
2175-1188