# Toeplitz operators on backward shift invariant subspaces of H^p

## TL;DR

This paper extends the theory of compressed Toeplitz operators from the Hilbert space setting to more general Hardy spaces, broadening understanding of their structure on backward shift invariant subspaces.

## Contribution

It introduces new results on compressed Toeplitz operators on $H^p$ spaces, generalizing previous work from $H^2$ to a wider class of Hardy spaces.

## Key findings

- Extended Toeplitz operator results from $H^2$ to $H^p$ spaces.
- Characterized properties of compressed Toeplitz operators on backward shift invariant subspaces.
- Provided new insights into operator behavior in non-Hilbert Hardy spaces.

## Abstract

We extend results on compressed Toeplitz operators on the backward shift invariant subspaces of $H^2 $ to the context of the spaces $H^p$, $1<p<\infty.$