Range spaces of co-analytic Toeplitz operators

Emmanuel Fricain (1) , Andreas Hartmann (2) , William T. Ross (3)

1 LPP - Laboratoire Paul Painlevé - UMR 8524
2 IMB - Institut de Mathématiques de Bordeaux
3 Department of Mathematics

We discuss the range spaces of Toeplitz operators with co-analytic symbols where we focus on the boundary behavior of the functions in these spaces as well as a natural orthogonal decomposition of this range.

Mots clés: de Branges-Rovnyak spaces; non-extreme points; boundary behavior; Toeplitz operators; kernel functions; corona pairs

Domaines: Variables complexes [math.CV]

Emmanuel Fricain, Andreas Hartmann, William T. Ross. Range spaces of co-analytic Toeplitz operators. Canadian Journal of Mathematics, 2018, 70 (6), pp.1261-1283. ⟨hal-01183789⟩