13 citations · 62 across the 50 of their papers we have counts for
7 papers · 1 filter
An elementary proof of the cross theorem in the Reinhardt case
Marek Jarnicki, Peter Pflug
We present an elementary proof of the cross theorem in the case of Reinhardt domains. The results illustrates the well-known interrelations between the holomorphic geometry of a Re…
Estimates for invariant metrics on -convex domains
Nikolai Nikolov, Peter Pflug, Wlodzimierz Zwonek
Geometric lower and upper estimates are obtained for invariant metrics on -convex domains containing no complex lines.
Upper bound for the Lempert function of smooth domains
Nikolai Nikolov, Peter Pflug, Pascal J. Thomas
An upper estimate for the Lempert function of any -smooth bounded domain in is found in terms of the boundary distance.
On a local characterization of pseudoconvex domains
Nikolai Nikolov, Peter Pflug, Pascal J. Thomas +1
Pseudoconvexity of a domain in is described in terms of the existence of a locally defined plurisubharmonic/holomorphic function near any boundary point that is unbounde…
Remarks on Lempert functions of balanced domains
Nikolai Nikolov, Peter Pflug
This note should clarify how the behavior of certain invariant objects reflects the geometric convexity of balanced domains.
On the derivatives of the Lempert functions
Nikolai Nikolov, Peter Pflug
We show that if the Kobayashi--Royden metric of a complex manifold is continuous and positive at a given point and any non-zero tangent vector, then the "derivatives" of the higher…