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Journal of Function Spaces
Volume 2014, Article ID 720875, 7 pages
Research Article

Lipschitz Estimates for One-Sided Cohen’s Commutators on Weighted One-Sided Triebel-Lizorkin Spaces

1School of Sciences, China University of Mining & Technology, Beijing 100083, China
2Department of Basic Curriculum, North China Institute of Science and Technology, Hebei 065201, China
3Department of Mathematics, Linyi University, Linyi 276005, China
4School of Sciences, Shandong Normal University, Jinan 250014, China

Received 19 September 2014; Accepted 20 November 2014; Published 8 December 2014

Academic Editor: Guozhen Lu

Copyright © 2014 Xiao Jin Zhang and Xian Ming Hou. 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.


We introduce one-sided Cohen’s commutators of singular integral operators and fractional integral operators, respectively. Using the extrapolation of one-sided weights, we establish the boundedness of these operators from weighted Lebesgue spaces to weighted one-sided Triebel-Lizorkin spaces.