Browsing NTNU Open by Author "Fornæss, John Erik"
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A Domain with Nonplurisubharmonic Squeezing Function
Fornæss, John Erik; Shcherbina, Nikolay (Journal article; Peer reviewed, 2018)We construct a strictly pseudoconvex domain with smooth boundary whose squeezing function is not plurisubharmonic. 
A nonstrictly 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. 
Boundary behavior of the Bergman metric
Diederich, K; Fornæss, John Erik (Journal article; Peer reviewed, 2018) 
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 ... 
Dynamics of transcendental Henon maps
Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han (Journal article; Peer reviewed, 2019)The dynamics of transcendental functions in the complex plane has received a significant amount of attention. In particular much is known about the description of Fatou components. Besides the types of periodic Fatou ... 
Estimate of the squeezing function for a class of bounded domains
Fornæss, John Erik; Rong, Feng (Journal article; Peer reviewed, 2018)We construct a class of bounded domains, on which the squeezing function is not uniformly bounded from below near a smooth and pseudoconvex boundary point. 
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 ... 
Flat Bundles Over Some Compact Complex Manifolds
Deng, Fusheng; Fornæss, John Erik (Journal article; Peer reviewed, 2019)We construct examples of flat fiber bundles over the Hopf surface such that the total spaces have no pseudoconvex neighborhood basis, admit a complete Kähler metric, or are hyperconvex but have no nonconstant holomorphic ... 
Linearization of Hénon maps and a polynomial automorphism with wandering Fatou components
Hahn, David (Doctoral theses at NTNU;2018:308, Doctoral thesis, 2018) 
Weighted approximation in C
Fornæss, John Erik; Wu, Jujie (Journal article; Peer reviewed, 2019)We prove that if {φj}j is a sequence of subharmonic functions which are increasing to some subharmonic function φ in C , then the union of all the weighted Hilbert spaces H(φj) is dense in the weighted Hilbert ...