Composition operator on model spaces

TL;DR

This paper investigates the conditions under which composition operators are compact when mapping from model spaces generated by inner functions to the Hardy space, contributing to the understanding of operator theory in complex analysis.

Contribution

It provides new insights into the compactness criteria of composition operators between model spaces and Hardy spaces, a topic not extensively explored before.

Findings

Identifies specific conditions for compactness of composition operators

Establishes links between inner functions and operator compactness

Advances theoretical understanding of operator behavior in function spaces

Abstract

We study compactness property of composition operator acting from a model space generated by an inner function to the Hardy space.