Hankel and composition operators on spaces of Dirichlet series
Appears in collection : Jean-Morlet Chair : Function spaces and harmonic analysis / Chaire Jean-Morlet : Espaces fonctionnels et analyse harmonique
I will give a survey of the operator theory that is currently evolving on Hardy spaces of Dirichlet series. We will consider recent results about multiplicative Hankel operators as introduced and studied by Helson and developments building on the Gordon-Hedenmalm theorem on bounded composition operators on the $H^2$ space of Dirichlet series.
