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Continuity of a Class of Calderón-Zygmund Operators on Certain Besov Spaces

In this paper, we introduce a class of non-convolution-type Calderon-Zygmund operators, whose kernels are certain sums involving the products of the Daubechies wavelets and their convolutions. And we obtain the continuity on the Besov spaces B 0,q p (1 ≤ p, q ≤ ∞), which is mainly dependent on the properties of the Daubechies wavelets and Lemari’s T1 theorem for Besov spaces.