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

 

A counterexample to the ``fine'' problem in pluripotential theory


Authors: Urban Cegrell and Evgeny A. Poletsky
Journal: Proc. Amer. Math. Soc. 123 (1995), 3677-3679
MSC: Primary 32F05; Secondary 31C10, 31C15
MathSciNet review: 1277101
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Abstract: In this paper we prove that pointwise values of the non-regularized pluriharmonic measure are not capacities. This answers the question raised by E. Bedford and U. Cegrell.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1277101-X
PII: S 0002-9939(1995)1277101-X
Keywords: Plurisubharmonic functions, capacities
Article copyright: © Copyright 1995 American Mathematical Society