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.

arXiv comment38 pages. We have corrected some typos and modified the proof of Lemma 4.21. To appear in Analysis Mathematica

Cited by in corpus (2)

• Riesz transforms, Cauchy-Riemann systems and amalgam Hardy spaces
• New characterization of the duals of Hardy-amalgam spaces