Modulation spaces associated to tensor products of amalgam spaces

TL;DR

This paper characterizes modulation spaces linked to tensor products of amalgam spaces with broad Banach space local components, and applies these results to tensor products of various L^p spaces.

Contribution

It provides a comprehensive description of modulation spaces associated with tensor products of amalgam spaces, extending to various L^p spaces.

Findings

Identification of modulation spaces for tensor products of amalgam spaces.

Description of modulation spaces for tensor products of L^p spaces.

Extension of modulation space theory to a broad class of Banach space components.

Abstract

We identify the modulation spaces associated to tensor products of amalgam spaces having a large class of Banach spaces as their local component. As consequences of the main results, we describe the modulation spaces associated to tensor products of various $L^p$ spaces.