The Dirichlet problem for maximal plurisubharmonic functions on analytic varieties in C^n

Frank Wikström

doi:10.1142/S0129167X09005376

The Dirichlet problem for maximal plurisubharmonic functions on analytic varieties in C^n

Frank Wikström

Mathematics (Faculty of Engineering)

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

Abstract

Let Ω be a B-regular domain in ℂn and let V be a locally irreducible analytic variety in Ω. Given a continuous function , we prove that there is a unique maximal plurisubharmonic function u on V with boundary values given by ϕ and furthermore that u is continuous on .

Original language	English
Pages (from-to)	521-528
Journal	International Journal of Mathematics
Volume	20
Issue number	4
DOIs	https://doi.org/10.1142/S0129167X09005376
Publication status	Published - 2009

Subject classification (UKÄ)

Mathematics
Mathematical Analysis

Free keywords

analytic varieties
Maximal plurisubharmonic functions
Jensen measures

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10.1142/S0129167X09005376

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abstract = "Let Ω be a B-regular domain in ℂn and let V be a locally irreducible analytic variety in Ω. Given a continuous function , we prove that there is a unique maximal plurisubharmonic function u on V with boundary values given by ϕ and furthermore that u is continuous on .",

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AB - Let Ω be a B-regular domain in ℂn and let V be a locally irreducible analytic variety in Ω. Given a continuous function , we prove that there is a unique maximal plurisubharmonic function u on V with boundary values given by ϕ and furthermore that u is continuous on .

KW - analytic varieties

KW - Maximal plurisubharmonic functions

KW - Jensen measures

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DO - 10.1142/S0129167X09005376

M3 - Article

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EP - 528

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 4

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The Dirichlet problem for maximal plurisubharmonic functions on analytic varieties in C^n

Abstract

Subject classification (UKÄ)

Free keywords

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