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A Theorem of M.C.R. Butler for Dedekind Domains

✍ Scribed by J.D. Reid; C. Vinsonhaler

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
554 KB
Volume
175
Category
Article
ISSN
0021-8693

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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