3 papers
math.FA2026
A Converse Mean-Value Property
MatÄj MoravÃk, El Hassan Youssfi
We prove a converse mean-value theorem for harmonic functions associated with the invariant Laplace--Beltrami operator on the real unit ball. Under suitable integrability and topol…
math.CV2025
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 , for every we denote by the Berezin transform assoc…
math.CV2024
A~Moebius invariant space of -harmonic functions on the ball
Petr Blaschke, Miroslav Engliš, El-Hassan Youssfi
We~describe a Dirichlet-type space of -harmonic functions, i.e. functions annihilated by the hyperbolic Laplacian on~the unit ball of the real -space, as~the analytic continu…