Boundedness of Calderón-Zygmund operators on Besov spaces and its application

In this article, the author introduces a class of non-convolution Calderón-Zygmund operators whose kernels are certain sums involving the products of Meyer wavelets and their convolutions. The boundedness on Besov spaces is also obtained. Moreover, as an application, the author gives a brief proof of the known result that Hörmander condition can ensure the boundedness of convolution-type Calderón-Zygmund operators on Besov spaces . However, the proof is quite different from the previous one.