4 papers
Complete Nevanlinna-Pick property of -Invariant Reproducing Kernels
Miroslav Engliš, Somnath Hazra, Paramita Pramanick
Let be a Cartan domain and be a -invariant kernel on . In this article, we first obtain a necessary co…
Besov-Bergman spaces of -harmonic functions
Petr Blaschke, Miroslav Engliš
We~show that the weighted Bergman spaces of M-harmonic functions (functions annihilated by the invariant Laplacian on the unit ball of the complex n-space), as~well as their analyt…
Uniqueness of -harmonic Moebius invariant inner products on the ball
Petr Blaschke, Miroslav Engliš
We~prove uniqueness of the Moebius invariant semi-inner product on hyperbolic-harmonic functions on the unit ball of the real n-space, i.e. on functions annihilated by the hyperbol…
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…