Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk

TL;DR

This paper provides general estimates for the approximation numbers of composition operators acting on Hardy spaces of the ball and polydisk, advancing understanding of their operator theory properties.

Contribution

It introduces new bounds for approximation numbers of composition operators on Hardy spaces of higher-dimensional domains.

Findings

Derived bounds for approximation numbers on the ball and polydisk

Extended operator theory results to higher-dimensional Hardy spaces

Provided estimates applicable to various composition operators

Abstract

We give general estimates for the approximation numbers of composition operators on the Hardy space on the ball $B\_d$ and the polydisk $D^d$ .