International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 5-8, Pages 259-271
doi:10.1155/S016117120430147X

Boundedness of multilinear operators on Triebel-Lizorkin spaces

Lanzhe Liu

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

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.