Viser treff 1-11 av 11

• #### A Domain with Non-plurisubharmonic Squeezing Function ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(Journal article; Peer reviewed, 2018)
• #### Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(Doctoral theses at NTNU;2018:308, Doctoral thesis, 2018)
• #### Weighted approximation in C ﻿

(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 ...