2 citations · 2 across the 12 of their papers we have counts for
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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…
Radial balanced metrics on the unit ball of the Kepler manifold
Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi
We show that there is no radial balanced metric on the unit ball of the Kepler manifold with not too wild boundary behavior. Additionally, we identify explicitly the weights corres…