Frontiers of Mathematics in China >

2012 , Vol. 7 >Issue 1: 51 - 67

DOI: https://doi.org/10.1007/s11464-011-0169-y

RESEARCH ARTICLE

Estimates for multilinear singular integral operators with nonsmooth kernels

  • Guoen HU , 1 ,
  • Yan MENG 2
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  • 1. Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, China
  • 2. School of Information, Renmin University of China, Beijing 100872, China

Received date: 28 Mar 2011

Accepted date: 09 Sep 2011

Published date: 01 Feb 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Let (X, d, μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, we consider the behavior on Lp1(X) × · · · × Lpm(X) for the m-linear singular integral operators with nonsmooth kernels which were first introduced by Duong, Grafakos and Yan.

Key words： Approximation to the identity; multilinear singular integral operator; nonsmooth kernel

Cite this article

Guoen HU , Yan MENG . Estimates for multilinear singular integral operators with nonsmooth kernels[J]. Frontiers of Mathematics in China, 2012 , 7(1) : 51 -67 . DOI: 10.1007/s11464-011-0169-y

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