Truncated Toeplitz operators and boundary values in nearly invariant subspaces

Andreas Hartmann (1) , William T. Ross (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 Department of Mathematics

We consider truncated Toeplitz operator on nearly invariant subspaces of the Hardy space $H^2$. Of some importance in this context is the boundary behavior of the functions in these spaces which we will discuss in some detail.

Mots clés: truncated Toeplitz operator; kernel function; nearly invariant subspace; non-tangential limits

Domaines: Variables complexes [math.CV]

Andreas Hartmann, William T. Ross. Truncated Toeplitz operators and boundary values in nearly invariant subspaces. Complex Analysis and Operator Theory, 2013, 7 (2), pp.467-478. ⟨hal-00557696⟩