Vol. 19 (2010)
Articles

Sharp Function Inequality for Multilinear Commutator of Singular Integral Operators with Non-Smooth Kernels

Wang Zhiwei
Department of Mathematics Changsha University of Science and Technology Changsha 410077, P. R. of China.
Liu Lanzhe
Department of Mathematics Changsha University of Science and Technology Changsha 410077, P. R. of China

Published 2010-09-07

Keywords

  • Singular integral operator,
  • Multilinear commutator,
  • Sharp estimate,
  • BMO

How to Cite

Sharp Function Inequality for Multilinear Commutator of Singular Integral Operators with Non-Smooth Kernels. (2010). Scientia Series A: Mathematical Sciences, 19, 45-56. https://revistas.usm.cl/scientia/article/view/138

Abstract

In this paper, we establish a sharp function estimate for some multi-linear commutator of the singular integral operators with non-smooth kernels. As the application, we obtain the \(L^p(1 < p < \infty)\) norm inequality for the multilinear commutator.

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