# Entropy numbers and spectral radius type formula for composition operators on the polydisk

## TL;DR

This paper provides estimates for the entropy numbers of composition operators acting on Hardy spaces over the disk and polydisk, advancing understanding of their compactness and spectral properties.

## Contribution

It introduces new bounds for entropy numbers of composition operators on Hardy spaces of the disk and polydisk, extending previous spectral radius formulas.

## Key findings

- Derived estimates for entropy numbers of composition operators
- Extended spectral radius formulas to polydisk cases
- Enhanced understanding of operator compactness

## Abstract

We give estimates of the entropy numbers of composition operators on the Hardy space of the disk and of the polydisk.