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Cartwright's theorem for harmonic functions

✍ Scribed by A.M Trembinska

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
108 KB
Volume
163
Category
Article
ISSN
0022-247X

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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