Browsing NTNU Open by Author "Wold, Erlend Fornæss"
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A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary
Fornæss, John Erik; Wold, Erlend Fornæss (Journal article; Peer reviewed, 2018)In recent work by Zimmer it was proved that if Ω ⊂ C n is a bounded convex domain with C ∞-smooth boundary, then Ω is strictly pseudoconvex provided that the squeezing function approaches one as one approaches the boundary. ... -
An embedding of the unit ball that does not embed into a Loewner chain
Fornæss, John Erik; Wold, Erlend Fornæss (Journal article; Peer reviewed, 2019)We construct a holomorphic embedding ϕ:B3→C3 such that ϕ(B3) is not Runge in any strictly larger domain. As a consequence, S≠S1 for n=3. -
Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains
Bracci, Filippo; Fornæss, John Erik; Wold, Erlend Fornæss (Journal article; Peer reviewed, 2018)We prove that for a strongly pseudoconvex domain D ⊂ C n , the infinitesimal Carath´eodory metric gC (z, v) and the infinitesimal Kobayashi metric gK(z, v) coincide if z is sufficiently close to bD and if v is sufficiently ... -
Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces
Deng, Fusheng; Fornæss, John Erik; Wold, Erlend Fornæss (Journal article; Peer reviewed, 2018)We prove that all locally exposable points in a Stein compact in a complex space can be exposed along a given curve to a given real hypersurface. Moreover, the exposing map for a boundary point can be sufficiently close ...