The boundedness of Calderón-Zygmund operators by wavelet characterization

This article deals with the boundedness properties of Calderón-Zygmund operators on Hardy spaces H p(.n). We use wavelet characterization of H p(.n) to show that a Calderón-Zygmund operator T with T*1 = 0 is bounded on H p(.n), nn+.<p.1 is the regular exponent of kernel of T. This approach can be applied to the boundedness of operators on certain Hardy spaces without atomic decomposition or molecular characterization.