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SOME TOEPLITZ TYPE TRANSFORMS RELATED TO GENERAL SINGULAR INTEGRAL OPERATOR
Author(s) : Bo Liu
Pages : [47] - [61]
Received : October 2, 2013
Communicated by : Professor S. Ebrahimi Atani
Pages : [47] - [61]
Received : October 2, 2013
Communicated by : Professor S. Ebrahimi Atani
Abstract
In this paper, we establish the sharp maximal function estimates for some Toeplitz type transforms related to the singular integral operator with general kernel. As an application, we obtain the boundedness of the transforms on weighted Lebesgue and Triebel-Lizorkin spaces.
Keywords
Toeplitz type transform, singular integral operator, sharp maximal function, Triebel-Lizorkin space, weighted Lipschitz function.