3 papers
math.FA2026
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…
math.FA2026
Analytic continuation of weighted -harmonic Bergman spaces
Matěj Moravík
We provide a partial answer to Problems 1 and 2 raised in the recent article by Blaschke et al., concerning the analytic continuation of weighted -harmonic Bergman spaces. These…
math.FA2025
H-harmonic reproducing kernels on the ball
Matěj Moravík
We consider the Szegő reproducing kernel associated with the space of -harmonic functions on the unit ball in n-dimensional space, i.e. functions that are characterized by being…