Pluriharmonic extension in proper image domains
Annales Polonici Mathematici, Tome 96 (2009) no. 2, pp. 163-174
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $D_{j}$ be a bounded hyperconvex domain in ${\mathbb C}^{n_{j}}$ and
set $D=D_{1}\times\cdots\times D_{s}$, $j=1,\ldots,s$, $s\geq 3$.
Also let ${\mit\Omega}_\pi$ be the image of $D$ under the proper
holomorphic map $\pi$. We characterize those
continuous functions $f:\partial {\mit\Omega}_\pi\to\mathbb R$ that can be
extended to a real-valued pluriharmonic function in ${\mit\Omega}_\pi$.
Keywords:
bounded hyperconvex domain mathbb set times cdots times ldots geq mit omega image under proper holomorphic map characterize those continuous functions partial mit omega mathbb extended real valued pluriharmonic function mit omega
Affiliations des auteurs :
Rafa/l Czyż 1
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author = {Rafa/l Czy\.z},
title = {Pluriharmonic extension in proper image domains},
journal = {Annales Polonici Mathematici},
pages = {163--174},
publisher = {mathdoc},
volume = {96},
number = {2},
year = {2009},
doi = {10.4064/ap96-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap96-2-4/}
}
Rafa/l Czyż. Pluriharmonic extension in proper image domains. Annales Polonici Mathematici, Tome 96 (2009) no. 2, pp. 163-174. doi: 10.4064/ap96-2-4
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