Abstract

In this paper, we are concerned with the boundedness of convolution-type Calderon-Zygmund operators on some endpoint Triebel-Lizorkin spaces. We establish the boundedness on $\dot{F}_{1}^{0,q}$ (2<q<?) under a very weak pointwise regularity condition. The boundedness is established by the Daubechies wavelets and the atomic-molecular approach.

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