# Dual of Hardy-amalgam spaces and norms inequalities

## TL;DR

This paper characterizes the dual spaces of generalized Hardy spaces with Wiener amalgam norms and demonstrates the boundedness of classical operators like Calderón-Zygmund, convolution, and Riesz potentials within these spaces.

## Contribution

It introduces a new duality framework for Hardy spaces using Wiener amalgam norms and establishes boundedness of key operators in this setting.

## Key findings

- Dual spaces characterized for Hardy spaces with Wiener amalgam norms
- Classical operators are bounded in these generalized Hardy spaces
- Provides a new perspective on Hardy space duality and operator boundedness

## 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 Calder\'on-Zygmund, convolution and Riesz potential operators are bounded.