International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 5, Pages 259-271
doi:10.1155/S016117120430147X

Boundedness of multilinear operators on Triebel-Lizorkin spaces

Liu Lanzhe

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

Received 20 January 2003

Abstract

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.