Hölder continuous solutions of the Monge-Ampère equation on compact Hermitian manifolds
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dc.type
JournalArticle
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dc.description.physical
2951-2964
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dc.abstract.en
We show that a positive Borel measure of positive finite total mass, on a compact Hermitian manifold, admits a Hölder continuous quasi-plurisubharmonic solution to the Monge-Ampère equation if and only if it is dominated locally by Monge-Ampère measures of Hölder continuous plurisubharmonic functions.
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dc.subject.en
weak solutions
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dc.subject.en
Hölder continuous
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dc.subject.en
Monge-Ampère
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dc.subject.en
compact Hermitian manifold
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dc.description.volume
68
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dc.description.number
7
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dc.identifier.doi
10.5802/aif.3232
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dc.identifier.eissn
1777-5310
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dc.title.journal
Annales de l’Institut Fourier
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dc.language.container
eng
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dc.affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
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dc.subtype
Article
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dc.rights.original
CC-BY-ND; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0