J. Math. Anal. Appl. 330 (2007) 1264–1272 www.elsevier.com/locate/jmaa Boundedness of certain commutators on Triebel–Lizorkin spaces ✩ Liya Jiang a , Pu Zhang b,1 , Houyu Jia c,∗ a Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, PR China b Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, PR China c Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China Received 1 March 2006 Available online 14 September 2006 Submitted by L. Grafakos Abstract In this paper, two types of commutators are considered, and the boundedness of these operators on Triebel–Lizorkin spaces are discussed.  2006 Elsevier Inc. All rights reserved. Keywords: Commutators; Triebel–Lizorkin spaces 1. Introduction Let Ω be homogeneous of degree zero, integrable on the sphere S n−1 and satisfy the vanishing condition  S n−1 Ω(x ′ )dx ′ = 0. (1.1) ✩ Supported by ZJNSF No. Y605149. * Corresponding author. E-mail addresses: mathjly@163.com (L. Jiang), puzhang@sohu.com (P. Zhang), mjhy@zju.edu.cn (H. Jia). 1 Current address: Department of Mathematics, Mudanjiang Teachers College, Mudanjiang 157012, PR China. 0022-247X/$ – see front matter  2006 Elsevier Inc. All rights reserved. doi:10.1016/j.jmaa.2006.07.101 brought to you by CORE View metadata, citation and similar papers at core.ac.uk provided by Elsevier - Publisher Connector