Quasibounded plurisubharmonic functions

Mårten Nilsson; Frank Wikström

doi:10.1142/S0129167X21500683

Quasibounded plurisubharmonic functions

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

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.

Originalspråk	engelska
Artikelnummer	2150068
Tidskrift	International Journal of Mathematics
Volym	32
Nummer	9
DOI	https://doi.org/10.1142/S0129167X21500683
Status	Published - 2021

Ämnesklassifikation (UKÄ)

Matematisk analys

Tillgång till dokument

10.1142/S0129167X21500683

Randsingulariteter för plurisubharmoniska funktioner
Wikström, F. (Forskare) & Nilsson, M. (Forskare)
2019/01/01 → …
Projekt: Forskning

Randsingulariteter av plurisubharmoniska funktioner
Wikström, F. (Första/primär/huvudhandledare) & Christiansen, J. S. (Andra handledare)
2018 sep. 15 → 2023 sep. 15
Aktivitet: Examination och handledarskap › Handledning av forskarstuderande

Citera det här

@article{33243402e1d94e7f935ba66907674166,

title = "Quasibounded plurisubharmonic functions",

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.",

keywords = "complex Monge-Amp{\`e}re equation, Jensen measures, maximal plurisubharmonic functions, Pluripotential theory",

author = "M{\aa}rten Nilsson and Frank Wikstr{\"o}m",

year = "2021",

doi = "10.1142/S0129167X21500683",

language = "English",

volume = "32",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing",

number = "9",

}

TY - JOUR

T1 - Quasibounded plurisubharmonic functions

AU - Nilsson, Mårten

AU - Wikström, Frank

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - complex Monge-Ampère equation

KW - Jensen measures

KW - maximal plurisubharmonic functions

KW - Pluripotential theory

U2 - 10.1142/S0129167X21500683

DO - 10.1142/S0129167X21500683

M3 - Article

AN - SCOPUS:85109385420

SN - 0129-167X

VL - 32

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 9

M1 - 2150068

ER -

Quasibounded plurisubharmonic functions

Sammanfattning

Ämnesklassifikation (UKÄ)

Tillgång till dokument

Fingeravtryck

Projekt

Randsingulariteter för plurisubharmoniska funktioner

Aktiviteter

Randsingulariteter av plurisubharmoniska funktioner

Citera det här