Abstract

This paper focuses on the boundedness of convolution-type Calderon-Zygmund operators on certain endpoint spaces.We prove the boundedness on the endpoint Triebel-Lizorkin space F0,q1(2 q ∞) under a weakened regularity condition.The proof relies on the atomic-molecular decomposition and on the analysis of the operator which is based on the n-dimensional Daubechies wavelet basis.

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