# Duals of Hardy-amalgam spaces $\mathcal{H}_{\mathrm{loc}}^{(q,p)}$ and Pseudo-differential operators

## TL;DR

This paper explores the dual spaces of Hardy-Amalgam spaces and demonstrates the boundedness of pseudo-differential operators within these function spaces, advancing understanding of their structure and applications.

## Contribution

It characterizes the dual spaces of Hardy-Amalgam spaces and proves boundedness results for pseudo-differential operators on these spaces.

## Key findings

- Dual spaces of Hardy-Amalgam spaces are characterized.
- Boundedness of pseudo-differential operators is established.
- Results extend the functional analysis framework for these spaces.

## Abstract

In this paper, we carry on with the study of the Hardy-Amalgam spaces $\mathcal{H}_{\mathrm{loc}}^{(q,p)}$ spaces introduced in \cite{AbFt}. We investigate their dual spaces and establish some results of boundedness of pseudo-differential operators in these spaces.