On the Commutativity of the Berezin Transform

Alexander Borichev, Gérard Fantolini, El-Hassan Youssfi

We consider the commutativity problem for the Berezin transform on weighted Fock spaces. Given a real number $m>0$, for every $\hat{I}\pm >0$ we denote by $B_{\hat{I}}\pm$ the Berezin transform assoc…