2 papers
math.CV2026
On the Bergman number of hyperbolic domains
Dimitrios Betsakos, Nikolaos Karamanlis
We construct a domain in the plane whose Hardy and Bergman numbers satisfy . We also calculate the Bergman number for certain classes of domains having cou…
math.CV2021
Geometric characterizations for conformal mappings in weighted Bergman spaces
Christina Karafyllia, Nikolaos Karamanlis
We prove that a conformal mapping defined on the unit disk belongs to a weighted Bergman space if and only if certain integrals involving the harmonic measure converge. With the ai…