Factorization theory for a class of Toeplitz + Hankel operators
arXiv:math/0204038
Abstract
In this paper we study operators of the form where and are the Toeplitz and Hankel operators acting on $H^p(\T)$ with generating function $ϕ\in L^\iy(\T)$. It turns out that is invertible if and only if the function admits a certain kind of generalized factorization.