17 citations · 35 across the 18 of their papers we have counts for
19 papers
A two-dimensional counterexample for Kobayashi completeness of balanced domains
Armen Edigarian
Jarnicki and Pflug constructed a bounded balanced domain of holomorphy in , , with continuous Minkowski function which is not Kobayashi complete, and explicitl…
Isometries in the symmetrized bidisc, II
Armen Edigarian
We prove that every map $f:U\to\GG$ preserving the Poincaré distance and the Kobayashi distance is holomorphic or anti-holomorphic, where is a connected open subset of the unit…
Isometries of the Diamond
Armen Edigarian
Chavan and Zwonek recently proved that every Kobayashi distance isometry of the diamond is holomorphic or antiholomorphic. We show that the assumption is superfluous.
Strongly linearly convex exhaustion of -convex domains with $\C^{1,α}$ boundary
Armen Edigarian
We prove that any -convex domains with $\C^{1,α}$ boundary admits an increasing exhaustion by bounded strongly linearly convex domains.
A family of Lempert domains
Armen Edigarian
In \cite{G-Z} G.~Ghosh and W. Zwonek introduced a new class of domains $\bL_n$, , which are 2-proper holomorphic images of the Cartan domains of type four. This family conta…
A characterization of holomorphic mappings on a poly-plane
Armen Edigarian
We show that any function with , , for some has a property that any limit function of a family $\{\frac{f(tz)}{…