Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Hed, Lisa"'
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.
Externí odkaz:
http://arxiv.org/abs/1812.06420
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:
http://arxiv.org/abs/1806.07756
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:
http://arxiv.org/abs/1703.03181
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:
http://arxiv.org/abs/1703.02796
Publikováno v:
International Journal of Mathematical Education in Science & Technology. Oct2024, p1-15. 15p. 2 Illustrations.
Autor:
Hed, Lisa
In this thesis, we study two different kinds of approximation of plurisubharmonic functions. The first one is a Mergelyan type approximation for plurisubharmonic functions. That is, we study which domains in C^n have the property that every continuou
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-52229
Autor:
Hed, Lisa
In this thesis we study approximation of negative plurisubharmonic functions by functions defined on strictly larger domains. We show that, under certain conditions, every function u that is defined on a bounded hyperconvex domain Ω in Cn and has es
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-1799
Autor:
Hed, Lisa, Persson, Håkan
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:
http://arxiv.org/abs/1211.1061
Using techniques from the analysis of PDEs to study the boundary behaviour of functions on domains with low boundary regularity, we extend results by Forna\ae{}ss-Wiegerinck (1989) on plurisubharmonic approximation and by Demailly (1987) on the exist
Externí odkaz:
http://arxiv.org/abs/1210.7105
Autor:
Hed, Lisa, Persson, Håkan
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2014 413(2):700-714