A counterexample to the “fine” problem in pluripotential theory

Urban Cegrell; Evgeny A. Poletsky

doi:10.1090/S0002-9939-1995-1277101-X

A counterexample to the “fine” problem in pluripotential theory

Urban Cegrell, Evgeny A. Poletsky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	3677-3679
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	123
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-1995-1277101-X
State	Published - Dec 1995

Keywords

Capacities
Plurisubharmonic functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1995-1277101-X

Cite this

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title = "A counterexample to the “fine” problem in pluripotential theory",

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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KW - Plurisubharmonic functions

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A counterexample to the “fine” problem in pluripotential theory

Abstract

Keywords

ASJC Scopus subject areas

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