<b>Some Sharp Weighted Estimates for Multilinear Operators</b> - doi: 10.5269/bspm.v23i1-2.7465

Liu Lanzhe

doi:10.5269/bspm.v23i1-2.7465

<b>Some Sharp Weighted Estimates for Multilinear Operators</b> - doi: 10.5269/bspm.v23i1-2.7465

Liu Lanzhe Changsha University of Science and Technology

DOI: https://doi.org/10.5269/bspm.v23i1-2.7465

Keywords: Multilinear Operator, Calderón-Zygmund operator, Littlewood- Paley operator, Marcinkiewicz operator, Bochner-Riesz operator, Sharp estimate, BMO.

Abstract

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 L log L type estimate for the multilinear operators.

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Issue

Vol 23 No 1-2 (2005)

Section

Research Articles

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