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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Boundary limits of Green potentials of general order


Author: Yoshihiro Mizuta
Journal: Proc. Amer. Math. Soc. 101 (1987), 131-135
MSC: Primary 31B15; Secondary 31B25
MathSciNet review: 897083
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Abstract: Our aim in this note is to discuss the boundary limits of Green potentials in a half-space of the $ n$-dimensional euclidean space. As a corollary, our result below includes the recent result of Stoll [5] concerning the boundary limits of superharmonic functions along curves tending to the boundary.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0897083-5
PII: S 0002-9939(1987)0897083-5
Keywords: Green potentials, thin sets, capacity
Article copyright: © Copyright 1987 American Mathematical Society