BOUNDEDNESS FOR TOEPLITZ TYPE OPERATOR ASSOCIATED WITH SINGULAR INTEGRAL OPERATOR WITH VARIABLE CALDERÓN-ZYGMUND KERNEL

qiaozhen zhao

DOI Number
https://doi.org/10.22190/FUMI1903399Z
First page
399
Last page
414

Abstract


In this paper, we establish sharp maximal function inequalities for the Toeplitz-type operator associated with the singular integral operator with a variable Calderón-Zygmund kernel. As an application, we obtain the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces.


Keywords

function inequalities; Toeplitz-type operator; singular integral operator.

Keywords


Toeplitz type operator; Singular integral operator; Variable Calder´on-Zygmund Kernel; Sharp maximal function; Morrey space; Triebel-Lizorkin space; BMO; Lipschitz function.In this paper, we establish the sharp maximal function inequalities for the Toepl

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DOI: https://doi.org/10.22190/FUMI1903399Z

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