Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Per Åhag"'
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.
Autor:
Per Åhag, Rafał Czyż
We construct a family of quasimetric spaces in generalized potential theory containing m-subharmonic functions with finite (p, m)-energy. These quasimetric spaces will be viewed both in $${\mathbb {C}}^n$$ C n and in compact Kähler manifolds, and th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7692f7c977c79cb311647686b8f34212
http://arxiv.org/abs/2110.02611
http://arxiv.org/abs/2110.02611
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
Publikováno v:
2020 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM)
IEEM
IEEM
The outbreak and rapid spread of SARS-CoV-2, commonly known as COVID-19, has led to a loss of life, widely spread economic consequences, and changed behavior in many, if not all, sectors of society. One such sector is institutes for higher education.
Autor:
Per Åhag, Rafal Czyz
By using quasi-Banach techniques as key ingredient we prove Poincaré- and Sobolev- type inequalities for m-subharmonic functions with finite (p, m)-energy. A consequence of the Sobolev type inequality is a partial confirmation of Błocki’s integra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70a582961cbc14b94cb3a9293c084e44
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-169749
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-169749
Publikováno v:
Annales Polonici Mathematici.
Publikováno v:
Experimental Mathematics. 27:119-124
For a bounded pseudoconvex domain and pluricomplex Green function gΩ(z, a) with pole at a ∈ Ω, it was conjectured by Blocki and Zwonek that β(t) = log λn({z ∈ Ω: gΩ(z, a) < t}) is a convex function on ( − ∞, 0). With Ω the annulus the
Autor:
Per Åhag, Rafal Czyz
In this paper we prove the pluricomplex counterpart of the Moser-Trudinger and Sobolev inequalities in complex space. We consider these inequalities for plurisubharmonic functions with finite pluricomplex energy, and we estimate the concerned constan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a1b89ff2403bfb01d9c30dd74bfdfd9
http://arxiv.org/abs/1808.08078
http://arxiv.org/abs/1808.08078
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