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

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SHARP FUNCTION INEQUALITIES AND BOUNDNESS FOR TOEPLITZ TYPE OPERATOR RELATED TO GENERAL FRACTIONAL SINGULAR INTEGRAL OPERATOR

Chuangxia Huang and Lanzhe Liu

Department of Mathematics, Changsha University of Science and Technology, Changsha 410114, P. R. of China

Abstract: 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

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Electronic fulltext finalized on: 8 Nov 2012. This page was last modified: 19 Nov 2012.

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