Browsing NTNU Open by Author "Fornæss, John Erik"

Now showing items 1-18 of 18

    • A Domain with Non-plurisubharmonic 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 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.

    • Boundary behavior of the Bergman metric 

      Diederich, K; Fornæss, John Erik (Journal article; Peer reviewed, 2018)

    • The boundary rigidity for holomorphic self-maps of some fibered domains 

      Fornæss, John Erik; Rong, Feng (Peer reviewed; Journal article, 2021)
      We prove Burns–Krantz type boundary rigidity theorems for holomorphic self-maps of some fibered domains.

    • 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 ...

    • Dynamics of transcendental hÉnon maps III: Infinite entropy 

      Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han (Peer reviewed; Journal article, 2021)
      Very little is currently known about the dynamics of non-polynomial entire maps in several complex variables. The family of transcendental Hénon maps offers the potential of combining ideas from transcendental dynamics in ...

    • Dynamics of transcendental Hénon maps-II 

      Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han (Peer reviewed; Journal article, 2022)
      Transcendental Hénon maps are the natural extensions of the well investigated complex polynomial Hénon maps to the much larger class of holomorphic automorphisms. We prove here that transcendental Hénon maps always have ...

    • Entropy of transcendental entire functions 

      Benini, Anna Miriam; Fornæss, John Erik; Peters, Han (Peer reviewed; Journal article, 2021)
      We prove that all transcendental entire functions have infinite topological entropy.

    • 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)

    • Notes on the Short Ck’s 

      Fornæss, John Erik; Pal, Ratna (Journal article, 2022)

    • Strong localization of invariant metrics 

      Fornæss, John Erik; Nikolov, Nikolai (Peer reviewed; Journal article, 2021)
      A quantitative version of strong localization of the Kobayashi, Azukawa and Sibony metrics, as well as of the squeezing function, near a plurisubharmonic peak boundary point of a domain in Cn is given. As an application, ...

    • The rate of convergence to a fixed point in the complex plane 

      Hansen, Dag Eimund (Bachelor thesis, 2022)
      I denne oppgaven studerer vi funksjonen f(z):=z(1+z^k), der k er et positivt heltall, og dens atferd ved forskjellige punkter i det komplekse planet når vi itererer den n ganger på seg selv. Vårt hovedfokus er på dens ...

    • 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 ...