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

TL;DR

This paper explores the properties and interactions of compressions of higher-order slant Toeplitz operators on model spaces, focusing on their intertwining relations and conditions under which their products remain compressions.

Contribution

It provides new insights into the algebraic structure of these operator compressions and characterizes when their products are also compressions.

Findings

Identifies conditions for intertwining relations.

Characterizes when product of two compressions is a compression.

Advances understanding of operator algebra on model spaces.

Abstract

In this paper we investigate intertwining relations for compressions of $k^{th}$--order slant Toeplitz operators to model spaces. We then ask when a product of two such compressions is a compression itself.