2 citations · 2 across the 12 of their papers we have counts for
15 papers
A Converse Mean-Value Property
Matěj Moravík, 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…
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 associa…
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…
The -harmonic Dirichlet space on the ball
Miroslav Engliš, El-Hassan Youssfi
We~describe the Dirichlet space of -harmonic functions, i.e.~functions annihilated by the invariant Laplacian on~the unit ball of the complex -space, as~the limit of the anal…
Weighted Bergman kernels for nearly holomorphic functions on bounded symmetric domains
Miroslav Engliš, El-Hassan Youssfi, Genkai Zhang
We~identify the standard weighted Bergman kernels of spaces of nearly holomorphic functions, in~the sense of Shimura, on~bounded symmetric domains. This also yields a description o…
M-harmonic reproducing kernels on the ball
Miroslav Englis, El-Hassan Youssfi
Using the machinery of unitary spherical harmonics due to Koornwinder, Folland and other authors, we~obtain expansions for the Szegö and the weighted Bergman kernels of -harmoni…