Mixed norm spaces and RM(p,q) spaces

TL;DR

This paper explores the relationship between RM(p,q) spaces, which involve average radial integrability of analytic functions, and a broader class of mixed norm spaces, clarifying their containment properties.

Contribution

It establishes the containment relationships between RM(p,q) spaces and various mixed norm spaces, advancing understanding of their structural connections.

Findings

RM(p,q) spaces are contained within certain mixed norm spaces

Containment relationships depend on parameters p and q

The results clarify the structure of analytic function spaces

Abstract

In this paper we present the containment relationship between the spaces of analytic functions with average radial integrability RM(p,q) and a family of mixed norm spaces.