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POTENTIAL-THEORETIC CHARACTERIZATIONS OF NONSMOOTH DOMAINS

Published online by Cambridge University Press:  14 June 2004

HIROAKI AIKAWA
HIROAKI AIKAWA
Affiliation:
Department of Mathematics, Shimane University, Matsue 690-8504, Japan haikawa@math.shimane-u.ac.jp
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Abstract

This paper describes – in terms of potential-theoretic properties – the necessary and sufficient conditions required for a bounded domain satisfying the capacity density condition to be, respectively: a John domain, a uniform domain and an inner uniform domain.

Keywords

31B0531B25

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Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 4 , July 2004 , pp. 469 - 482
Copyright
© The London Mathematical Society 2004

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Footnotes

This work was supported in part by Grants-in-Aid for Scientific Research (Nos 11304008 and 12440040), and for Exploratory Research (No. 13874023) from the Japan Society for the Promotion of Science.