A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity

Benny Avelin; Lisa Hed; Håkan Persson

doi:10.1007/s11118-015-9486-1

A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity

Benny Avelin^*, Lisa Hed, Håkan Persson

^*Corresponding author for this work

Not published at Aalto University

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

8 Citations (Scopus)

Abstract

We show that bounded pseudoconvex domains that are Hölder continuous for all α < 1 are hyperconvex, extending the well-known result by Demailly (Math. Z. 194(4) 519–564, 1987) beyond Lipschitz regularity.

Original language	English
Pages (from-to)	531-545
Number of pages	15
Journal	Potential Analysis
Volume	43
Issue number	3
DOIs	https://doi.org/10.1007/s11118-015-9486-1
Publication status	Published - 1 Oct 2015
MoE publication type	A1 Journal article-refereed

Keywords

Boundary regularity
Bounded exhaustion function
Continuous boundary
Hyperconvexity
Hölder for all exponents
Log-Lipschitz
Plurisubharmonic functions
Reinhardt domains

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10.1007/s11118-015-9486-1

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title = "A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity",

abstract = "We show that bounded pseudoconvex domains that are H{\"o}lder continuous for all α < 1 are hyperconvex, extending the well-known result by Demailly (Math. Z. 194(4) 519–564, 1987) beyond Lipschitz regularity.",

keywords = "Boundary regularity, Bounded exhaustion function, Continuous boundary, Hyperconvexity, H{\"o}lder for all exponents, Log-Lipschitz, Plurisubharmonic functions, Reinhardt domains",

author = "Benny Avelin and Lisa Hed and H{\aa}kan Persson",

year = "2015",

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T1 - A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity

AU - Avelin, Benny

AU - Hed, Lisa

AU - Persson, Håkan

PY - 2015/10/1

Y1 - 2015/10/1

N2 - We show that bounded pseudoconvex domains that are Hölder continuous for all α < 1 are hyperconvex, extending the well-known result by Demailly (Math. Z. 194(4) 519–564, 1987) beyond Lipschitz regularity.

AB - We show that bounded pseudoconvex domains that are Hölder continuous for all α < 1 are hyperconvex, extending the well-known result by Demailly (Math. Z. 194(4) 519–564, 1987) beyond Lipschitz regularity.

KW - Boundary regularity

KW - Bounded exhaustion function

KW - Continuous boundary

KW - Hyperconvexity

KW - Hölder for all exponents

KW - Log-Lipschitz

KW - Plurisubharmonic functions

KW - Reinhardt domains

UR - http://www.scopus.com/inward/record.url?scp=84949097798&partnerID=8YFLogxK

U2 - 10.1007/s11118-015-9486-1

DO - 10.1007/s11118-015-9486-1

M3 - Article

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SN - 0926-2601

VL - 43

SP - 531

EP - 545

JO - Potential Analysis

JF - Potential Analysis

IS - 3

ER -

A Note on the Hyperconvexity of Pseudoconvex Domains Beyond Lipschitz Regularity

Abstract

Keywords

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