Quasibounded plurisubharmonic functions

Mårten Nilsson; Frank Wikström

doi:10.1142/S0129167X21500683

Quasibounded plurisubharmonic functions

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

Abstract

We extend the notion of quasibounded harmonic functions to the plurisubharmonic setting. As an application, using the theory of Jensen measures, we show that certain generalized Dirichlet problems with unbounded boundary data admit unique solutions, and that these solutions are continuous outside a pluripolar set.

Original language	English
Article number	2150068
Journal	International Journal of Mathematics
Volume	32
Issue number	9
DOIs	https://doi.org/10.1142/S0129167X21500683
Publication status	Published - 2021

Subject classification (UKÄ)

Mathematical Analysis

Free keywords

complex Monge-Ampère equation
Jensen measures
maximal plurisubharmonic functions
Pluripotential theory

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10.1142/S0129167X21500683

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KW - complex Monge-Ampère equation

KW - Jensen measures

KW - maximal plurisubharmonic functions

KW - Pluripotential theory

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DO - 10.1142/S0129167X21500683

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JO - International Journal of Mathematics

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Quasibounded plurisubharmonic functions

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Boundary singularities of plurisubharmonic functions

Boundary singularities of plurisubharmonic functions

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Quasibounded plurisubharmonic functions

Abstract

Subject classification (UKÄ)

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Boundary singularities of plurisubharmonic functions

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Boundary singularities of plurisubharmonic functions

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