15 citations · 40 across the 10 of their papers we have counts for
8 papers · 1 filter
Injective Hyperbolicity for quotients of balls and polydisks
John Erik Fornaess, Maria Trybula, Erlend Fornaess Wold
In this article we study the injective Kobayashi metric on complex surfaces.
Estimates for the squeezing function near strictly pseudoconvex boundary points with applications
Nikolai Nikolov, Maria Trybuła
An extension of the estimates for the squeezing function of strictly pseudoconvex domains obtained recently by J. E. Fornæss and E. Wold in \cite{FW1} is applied to derive a sharp…
Gromov hyperbolicity and the Kobayashi metric on "convex" sets
Nikolai Nikolov, Maria Trybula
In this paper we study the global geometry of the Kobayashi metric on "convex" sets. We provide new examples of non-Gromov hyperbolic domains in of many kinds: pseud…
Boundary behavior of invariant functions on planar domains
Nikolai Nikolov, Maria Trybula, Lyubomir Andreev
Precise behavior of the Caratheodory, Kobayashi and Bergman metrics and distances near smooth boundary points of domains in C is found under different assumptions of regularity.
Estimates of the Bergman distance on Dini-smooth bounded planar domains
Nikolai Nikolov, Maria Trybuła
Precise estimates for the Bergman distances of Dini-smooth bounded planar domains are given. These estimates imply that on such domains the Bergman distance almost coincides with t…
The Kobayashi balls of C-convex domains
Nikolai Nikolov, Maria Trybula
A pure geometric description of the Kobayashi balls of C-convex domains is given in terms of the so-called minimal basis.
Gromov (non)hyperbolicity of certain domains in
Nikolai Nikolov, Pascal J. Thomas, Maria Trybula
We prove the non-hyperbolicity of the Kobayashi distance for -smooth convex domains in which contain an analytic disc in the boundary or have a…
Proper holomorphic mappings, Bells formula and the Lu Qi-Keng problem on tetrablock
Maria Trybula
We consider a proper holomorphic map form D to G domains in C^n and show that it induces a unitary isomorphism between the Bergman space A^2(G) and some subspace of A^2(D). Using t…