Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Lisa Hed"'
Publikováno v:
MATHEMATICA SCANDINAVICA. 126:497-512
We characterize those compact sets for which the Dirichlet problem has a solution within the class of continuous $m$-subharmonic functions defined on a compact set, and then within the class of $m$-harmonic functions.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f38175b6065f8ee5c77d440e2c2ecae3
https://doi.org/10.7146/math.scand.a-119708
https://doi.org/10.7146/math.scand.a-119708
Publikováno v:
Complex Variables and Elliptic Equations. 65:152-177
We study the problem of classifying the holomorphic $(m,n)$-subharmonic morphisms in complex space. This determines which holomorphic mappings preserves $m$-subharmonicity in the sense that the composition of the holomorphic mapping with a $m$-subhar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb57f1f4afc65497cb81e20e48b0fbe0
https://doi.org/10.1080/17476933.2019.1574773
https://doi.org/10.1080/17476933.2019.1574773
Publikováno v:
Complex Variables and Elliptic Equations. 61(1):23-28
We extend a result by Fornaaess and Wiegerinck [Ark. Mat. 1989;27:257-272] on plurisubharmonic Mergelyan type approximation to domains with boundaries locally given by graphs of continuous functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a789c873bff821fa858365819b8ee561
http://juuli.fi/Record/0278822216
http://juuli.fi/Record/0278822216
Let $\Omega\subset \mathbb C^n$ be a bounded domain, and let $f$ be a real-valued function defined on the whole topological boundary $\partial \Omega$. The aim of this paper is to find a characterization of the functions $f$ which can be extended to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc906b9afd1394d9076d6c455fc310bc
https://ruj.uj.edu.pl/xmlui/handle/item/59908
https://ruj.uj.edu.pl/xmlui/handle/item/59908
Publikováno v:
Potential Analysis. 43:531-545
We show that bounded pseudoconvex domains that are Holder continuous for all alpha < 1 are hyperconvex, extending the well-known result by Demailly (Math. Z. 194(4) 519-564, 1987) beyond Lipschi ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28d25521f43fd7467ec770c7abc32339
https://doi.org/10.1007/s11118-015-9486-1
https://doi.org/10.1007/s11118-015-9486-1
Publikováno v:
Journal of Geometric Analysis
We study the geometry of m-regular domains within the Caffarelli–Nirenberg–Spruck model in terms of barrier functions, envelopes, exhaustion functions, and Jensen measures. We prove among other things that every m-hyperconvex domain admits an exh
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https://explore.openaire.eu/search/publication?articleId=pmid________::962905b67281c03775afc9d1c47c7d33
https://pubmed.ncbi.nlm.nih.gov/30595641
https://pubmed.ncbi.nlm.nih.gov/30595641
We study the geometry of $m$-regular domains within the Caffarelli-Nirenberg-Spruck model in terms of barrier functions, envelopes, exhaustion functions, and Jensen measures. We prove among other things that every $m$-hyperconvex domain admits an exh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d25def3b3a0440dc62ffb1e261834d44
Autor:
Lisa Hed, Håkan Persson
Publikováno v:
Journal of Mathematical Analysis and Applications. 413:700-714
We study the problem of approximating plurisubharmonic functions on a bounded domain $\Omega$ by continuous plurisubharmonic functions defined on neighborhoods of $\bar\Omega$. It turns out that this problem can be linked to the problem of solving a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9978db64c86365d343dda24a3f4aea47
https://doi.org/10.1016/j.jmaa.2013.12.041
https://doi.org/10.1016/j.jmaa.2013.12.041
Autor:
Lisa Hed
Publikováno v:
International Journal of Mathematics. 21:1135-1145
In this paper, we study the approximation of negative plurisubharmonic functions with given boundary values. We want to approximate a plurisubharmonic function by an increasing sequence of plurisubharmonic functions defined on strictly larger domains
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https://explore.openaire.eu/search/publication?articleId=doi_________::f69862d0e434e5aec75d3644c166337f
https://doi.org/10.1142/s0129167x10006410
https://doi.org/10.1142/s0129167x10006410
Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in C-n. We show that these functions can be completely characterized in terms of monotone convergence o ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::536e6b1c3caee8766cc4ffa45c0d5583
http://ruj.uj.edu.pl/xmlui/handle/item/507
http://ruj.uj.edu.pl/xmlui/handle/item/507