Compressions of $k^{th}$--order slant Toeplitz operators to model spaces

TL;DR

This paper studies the structure of compressed $k^{th}$--order slant Toeplitz operators on Hardy space model subspaces, providing characterizations via compressed shifts and special finite rank operators.

Contribution

It introduces a new characterization of these operators using compressed shifts and finite rank operators, expanding understanding of their structure.

Findings

Characterization of compressed $k^{th}$--order slant Toeplitz operators

Representation using compressed shifts and finite rank operators

Insights into the structure of operators on Hardy space subspaces

Abstract

In this paper we consider compressions of $k^{th}$--order slant Toeplitz operators to the backward shift invariant subspaces of the classical Hardy space $H^2$. In particular, we characterize these operators using compressed shifts and finite rank operators of special kind.