Publications de l'Institut Mathématique, Nouvelle Série Vol. 92(106), pp. 165–176 (2012) 

SHARP FUNCTION INEQUALITIES AND BOUNDNESS FOR TOEPLITZ TYPE OPERATOR RELATED TO GENERAL FRACTIONAL SINGULAR INTEGRAL OPERATORChuangxia Huang and Lanzhe LiuDepartment of Mathematics, Changsha University of Science and Technology, Changsha 410114, P. R. of ChinaAbstract: We establish some sharp maximal function inequalities for the Toeplitz type operator, which is related to certain fractional singular integral operator with general kernel. These results are helpful to investigate the boundedness of the operator on Lebesgue, Morrey and Triebel–Lizorkin spaces respectively. Classification (MSC2000): 42B20; 42B25 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 8 Nov 2012. This page was last modified: 19 Nov 2012.
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