Two-weight norm inequality for Calderón-Zygmund operators (Q1280286)

This paper deals with the boundedness of Calderón-Zygmund operators between the spaces \(L^p_u\) and \(L^p_v\) where \(u,v\) are weight functions on \(\mathbb R^n\). Both of the two main results present sufficient conditions involving integral inequalities concerning the weight functions. In Theorem 1 the integrals are taken over cubes while in Theorem 2 over balls. This latter condition is claimed to be easy to check in many particular situations.