Uniform convergence of Green’s functions

Sergei Kalmykov, Leonid V. Kovalev

Research output: Contribution to journalArticlepeer-review


Given a sequence of regular planar domains converging in the sense of kernel, we prove that the corresponding Green’s functions converge uniformly on the complex sphere, provided the limit domain is also regular, and the connectivity is uniformly bounded.

Original languageEnglish (US)
Pages (from-to)557-562
Number of pages6
JournalComplex Variables and Elliptic Equations
Issue number4
StatePublished - Apr 3 2019


  • 31A25
  • Green’s function
  • Primary 31A15
  • Secondary 31A05
  • conformal map
  • kernel convergence

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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