Inhomogeneous cancellation conditions and Calderón–Zygmund type operators on [formula omitted

Abstract

In this work we present a new approach to molecules on Goldberg’s local Hardy spaces hp(Rn), 0<p≤1, assuming an appropriate cancellation condition. As applications, we prove a version of Hardy’s inequality and improved continuity results for inhomogeneous Calderón–Zygmund operators on these spaces.