Dirichlet problems for plurisubharmonic functions on compact sets

Evgeny A. Poletsky; Ragnar Sigurdsson

doi:10.1007/s00209-011-0894-7

Dirichlet problems for plurisubharmonic functions on compact sets

Evgeny A. Poletsky, Ragnar Sigurdsson

Department of Mathematics

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

6 Scopus citations

Abstract

In this paper we solve the Dirichlet problems for different classes of plurisubharmonic functions on compact sets in ℂ ⁿ including continuous, pluriharmonic and maximal functions.

Original language	English (US)
Pages (from-to)	877-892
Number of pages	16
Journal	Mathematische Zeitschrift
Volume	271
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-011-0894-7
State	Published - Aug 2012

Keywords

Pluripotential theory
Plurisubharmonic functions

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-011-0894-7

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title = "Dirichlet problems for plurisubharmonic functions on compact sets",

abstract = "In this paper we solve the Dirichlet problems for different classes of plurisubharmonic functions on compact sets in ℂ n including continuous, pluriharmonic and maximal functions.",

keywords = "Pluripotential theory, Plurisubharmonic functions",

author = "Poletsky, {Evgeny A.} and Ragnar Sigurdsson",

note = "Funding Information: The first author was supported by the NSF Grant DMS-0900877.",

year = "2012",

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doi = "10.1007/s00209-011-0894-7",

language = "English (US)",

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AU - Poletsky, Evgeny A.

AU - Sigurdsson, Ragnar

N1 - Funding Information: The first author was supported by the NSF Grant DMS-0900877.

PY - 2012/8

Y1 - 2012/8

N2 - In this paper we solve the Dirichlet problems for different classes of plurisubharmonic functions on compact sets in ℂ n including continuous, pluriharmonic and maximal functions.

AB - In this paper we solve the Dirichlet problems for different classes of plurisubharmonic functions on compact sets in ℂ n including continuous, pluriharmonic and maximal functions.

KW - Pluripotential theory

KW - Plurisubharmonic functions

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VL - 271

SP - 877

EP - 892

JO - Mathematische Zeitschrift

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ER -

Dirichlet problems for plurisubharmonic functions on compact sets

Abstract

Keywords

ASJC Scopus subject areas

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