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Uniqueness Theorems for Harmonic Functions in Domains of Revolution

✍ Scribed by Armitage, D. H.


Book ID
120096384
Publisher
Oxford University Press
Year
1977
Tongue
English
Weight
225 KB
Volume
s2-15
Category
Article
ISSN
0024-6107

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A Distortion Theorem for Quadrature Doma
✍ BjΓΆrn Gustafsson πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 168 KB

We prove that any finitely connected domain in the plane can be distorted so that it becomes ''graviequivalent'' to a signed measure with arbitrarily small support. Precisely: if D ; ‫ރ‬ is a bounded, finitely connected domain with analytic Ε½ . boundary then for any a g D and r ) 0, ) 0 with B a, r