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Weighted boundedness for multilinear singular integral operators with non-smooth kernels on Morrey spaces

Acotaciones ponderadas para operadores integrales singulares multilineales con núcleos no suaves en espacios de Morrey

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Abstract

In this paper, we prove some weighted boundedness for the multilinear operators related to some singular integral operators with non-smooth kernels on the generalized Morrey spaces by using a sharp function estimate of the multilinear operators.

Resumen

En este artículo se utiliza una función de estimación precisa de operadores multilineales con la que se prueban algunas acotaciones ponderadas para operadores multilineales relacionados con operadores integrales singulares con núcleos no suaves en espacios de Morrey generalizados.

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Authors and Affiliations

  1. College of Mathematics, Changsha University of Science and Technology, 410077, Changsha, P. R. of China

    Zhou Xiaosha & Liu Lanzhe

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  1. Zhou Xiaosha
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  2. Liu Lanzhe
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Submitted by Darío Maravall

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Xiaosha, Z., Lanzhe, L. Weighted boundedness for multilinear singular integral operators with non-smooth kernels on Morrey spaces. Rev. R. Acad. Cien. Serie A. Mat. 104, 115–127 (2010). https://doi.org/10.5052/RACSAM.2010.11

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  • DOI: https://doi.org/10.5052/RACSAM.2010.11

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