A counterexample to the “fine” problem in pluripotential theory
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- by Urban Cegrell and Evgeny A. Poletsky PDF
- Proc. Amer. Math. Soc. 123 (1995), 3677-3679 Request permission
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.References
- Eric Bedford, Survey of pluri-potential theory, Several complex variables (Stockholm, 1987/1988) Math. Notes, vol. 38, Princeton Univ. Press, Princeton, NJ, 1993, pp. 48–97. MR 1207855
- Urban Cegrell, Capacities in complex analysis, Aspects of Mathematics, E14, Friedr. Vieweg & Sohn, Braunschweig, 1988. MR 964469, DOI 10.1007/978-3-663-14203-4
- Urban Cegrell, Capacities and extremal plurisubharmonic functions on subsets of $\textbf {C}^{n}$, Ark. Mat. 18 (1980), no. 2, 199–206. MR 608336, DOI 10.1007/BF02384690
- Evgeny A. Poletsky, Analytic geometry on compacta in $\textbf {C}^n$, Math. Z. 222 (1996), no. 3, 407–424. MR 1400200, DOI 10.1007/PL00004541
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3677-3679
- MSC: Primary 32F05; Secondary 31C10, 31C15
- DOI: https://doi.org/10.1090/S0002-9939-1995-1277101-X
- MathSciNet review: 1277101