Abstract
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 language | English (US) |
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Pages (from-to) | 557-562 |
Number of pages | 6 |
Journal | Complex Variables and Elliptic Equations |
Volume | 64 |
Issue number | 4 |
DOIs | |
State | Published - Apr 3 2019 |
Keywords
- 31A25
- Green’s function
- Primary 31A15
- Secondary 31A05
- conformal map
- kernel convergence
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics