collaborators

4 papers

math.CV2025

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…

math.HO2025

Coval description of the boundary of a numerical range and the secondary values of a matrix

Petr Blaschke

The boundary of a numerical range of a finite matrix is always a nice curve (algebraic, closed and simple), but the equation it satisfies is often very complicated. We will show th…

math.CA2024

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…

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…