Composition operators on weighted spaces of holomorphic functions on $JB^{\ast}-$triples

TL;DR

This paper characterizes when composition operators are continuous on weighted spaces of holomorphic functions defined on the open unit ball of a homogeneous Banach space, specifically a $JB^{ ext{*}}$-triple.

Contribution

It provides a characterization of the continuity of composition operators on weighted holomorphic function spaces over $JB^{ ext{*}}$-triples, a class of homogeneous Banach spaces.

Findings

Characterization of continuity conditions for composition operators

Application to weighted spaces of holomorphic functions

Insights into operator behavior on $JB^{ ext{*}}$-triples

Abstract

We characterise continuity of composition operators on weighted spaces of holomorphic functions $H_{v}(B_{X})$, where $B_{X}$ is the open unit ball of a Banach space which is homogeneous, that is, a $JB^{\ast}-$triple.