BOUNDEDNESS OF MULTILINEAR SINGULAR INTEGRAL OPERATOR WITH NON-SMOOTH KERNEL ON L<sup>p</sup> SPACES WITH VARIABLE EXPONENT

LANZHE LIU

Department of Mathematics, Changsha University of Science and Technology Changsha 410077, P.R. of China, e-mail:lanzheliu@163.com

Abstract

In this paper, the boundedness for some multilinear operators related to some singular integral operator with non-smooth kernel on Lp spaces with variable exponent is obtained by using a sharp estimate of the multilinear operators.

Keywords

Multilinear operator Singular integral operators with non-smooth kernel Variable L<sup>p</sup> space BMO