International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 5, Pages 259-271

Boundedness of multilinear operators on Triebel-Lizorkin spaces

Liu Lanzhe

Department of Applied Mathematics, Hunan University, Changsha 410082, China

Received 20 January 2003

Copyright © 2004 Liu Lanzhe. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The purpose of this paper is to study the boundedness in the context of Triebel-Lizorkin spaces for some multilinear operators related to certain convolution operators. The operators include Littlewood-Paley operator, Marcinkiewicz integral, and Bochner-Riesz operator.