Dual of Hardy-amalgam spaces and norms inequalities

Abstract

We characterize the dual spaces of the generalized Hardy spaces defined by replacing Lebesgue quasi-norms by Wiener amalgam ones. In these generalized Hardy spaces, we prove that some classical linear operators such as Calderón-Zygmund, convolution and Riesz potential operators are bounded.

38 pages. We have corrected some typos and modified the proof of Lemma 4.21. To appear in Analysis Mathematica