Complex symmetry of linear fractional composition operators on a half-plane

Abstract

We investigate the bounded composition operators induced by linear fractional self-maps of the right half-plane ${\mathbb{C}}_{+}$ on the Hardy space $H^2({\mathbb{C}}_{+}).$ We completely characterize which of these operators are cohyponormal and we find conjugations for the linear fractional composition operators that are complex symmetric.

Cited by in corpus (2)

• Dynamical properties for composition operators on $H^2({\mathbb{C}}_{+})$
• Dynamics for affine composition operators on weighted Bergman space of a half plane