10 citations · 100 across the 53 of their papers we have counts for
6 papers · 2 filters
Rigid characterizations of pseudoconvex domains
Nikolai Nikolov, Pascal J. Thomas
We prove that an open set in $\C^n$ is pseudoconvex if and only if for any the largest balanced domain centered at and contained in is pseudoconvex, and consid…
"Convex" characterization of linearly convex domains
Nikolai Nikolov, Pascal J. Thomas
We prove that a -smooth bounded domain in $\C^n$ is linearly convex if and only if the convex hull of any two discs in with common center lies in
Green functions of the spectral ball and symmetrized polydisk
Pascal J. Thomas, Nguyen Van Trao, Wlodzimierz Zwonek
The Green function of the spectral ball is constant over the isospectral varieties, is never less than the pullback of its counterpart on the symmetrized polydisk, and is equal to…
Estimates for invariant metrics near a non-semipositive boundary point
Nguyen Quang Dieu, Nikolai Nikolov, Pascal J. Thomas
We find the precise growth of some invariant metrics near a point on the boundary of a domain where the Levi form has at least one negative eigenvalue. We also introduce a new inva…
Spectral Nevanlinna-Pick and Carathéodory-Fejér problems
Nikolai Nikolov, Peter Pflug, Pascal J. Thomas
The Nevanlinna-Pick problem and the simplest case of the Carathéodory-Fejér problem on the spectral ball $\Om_3$ are reduced to interpolation problems on the symmetrized three-disc…
On different extremal bases for $\CC$-convex domains
Nikolai Nikolov, Peter Pflug, Pascal J. Thomas
We discuss some extremal bases for $\CC$-convex domains.