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Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 58473, 11 pages
doi:10.1155/JIA/2006/58473

Continuity of multilinear operators on Triebel-Lizorkin spaces

Lanzhe Liu

Department of Mathematics, Changsha University of Science and Technology, Changsha 410077, China

Received 4 February 2006; Revised 20 September 2006; Accepted 28 September 2006

Abstract

The continuity of some multilinear operators related to certain convolution operators on the Triebel-Lizorkin space is obtained. The operators include Littlewood-Paley operator and Marcinkiewicz operator.