E. Youssfi

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20242026

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math.CV2025

On the Commutativity of the Berezin Transform

Alexander Borichev, GÃ©rard 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 $I^\pm > 0$ we denote by $B_{I^} \pm$ the Berezin transform assoc…

math.CV2024

A~Moebius invariant space of $H$ -harmonic functions on the ball

Petr Blaschke, Miroslav EngliÅ¡, El-Hassan Youssfi

We~describe a Dirichlet-type space of $H$ -harmonic functions, i.e. functions annihilated by the hyperbolic Laplacian on~the unit ball of the real $n$ -space, as~the analytic continu…

On the Commutativity of the Berezin Transform

A~Moebius invariant space of H-harmonic functions on the ball

A~Moebius invariant space of $H$ -harmonic functions on the ball