Blar i NTNU Open på forfatter "Simon, Lars"

Viser treff 1-6 av 6

    • A Parametric Version of Forstnerič’s Splitting Lemma 

      Simon, Lars (Journal article; Peer reviewed, 2018)
      We construct solution operators to the \overline{\partial }-equation that depend continuously on the domain. This is applied to derive a parametric version of Forstnerič’s splitting lemma: If both the maps and the domains ...

    • An Example on s-H-Convexity in C2C2 

      Simon, Lars; Stensønes, Berit (Peer reviewed; Journal article, 2020)
      We construct a bounded domain Ω in C2 with boundary of class C1,1 such that Ω¯¯¯¯ has a Stein neighborhood basis, but is nots-H-convex for any real number s≥1.

    • Homogeneous Plurisubharmonic Polynomials in Higher Dimensions 

      Simon, Lars (Peer reviewed; Journal article, 2021)
      We prove several results on homogeneous plurisubharmonic polynomials on Cn, n∈Z≥2. Said results are relevant to the problem of constructing local bumpings at boundary points of pseudoconvex domains of finite D’Angelo 1-type ...

    • On Newton Diagrams of Plurisubharmonic Polynomials 

      Simon, Lars; Stensønes, Berit (Journal article; Peer reviewed, 2018)
      Each extreme edge of the Newton diagram of a plurisubharmonic polynomial on C2 gives rise to a plurisubharmonic polynomial. It is tempting to believe that the union of the extreme edges or the convex hull of said union ...

    • On Stein Neighborhood Bases, Parametric Splitting and Bumpings of Finite Type Domains 

      Simon, Lars (Doctoral theses at NTNU;2018:309, Doctoral thesis, 2018)
      In this thesis we investigate various topics within the field of several complex variables. The following four papers constitute the scientific contribution of the thesis: Paper 1: On Newton Diagrams of Plurisubharmonic ...

    • Sup-norm estimates for ∂ 

      Grundmeier, Dusty; Simon, Lars; Stensønes, Berit (Journal article; Peer reviewed, 2022)