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Potential‐Theoretic Characterizations of Nonsmooth Domains
Author(s) -
Aikawa Hiroaki
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s002460930400308x
Subject(s) - mathematics , domain (mathematical analysis) , bounded function , mathematics subject classification , subject (documents) , pure mathematics , mathematical analysis , computer science , library science
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. 2000 Mathematics Subject Classification 31B05, 31B25.

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