$\Phi$-Carleson measures and multipliers between Bergman-Orlicz spaces of the unit ball of $\mathbb {C}^n$

TL;DR

This paper introduces $\

Contribution

It characterizes $\

Findings

Provides a new definition of $\

Offers a characterization of $\

Applies the concept to describe multipliers between Bergman-Orlicz spaces.

Abstract

We define the notion of $\Phi$-Carleson measures where $\Phi$ is either a concave growth function or a convex growth function and provide an equivalent definition. We then characterize $\Phi$-Carleson measures for Bergman-Orlicz spaces, and apply them to characterize multipliers between Bergman-Orlicz spaces.