Pluriharmonic extension in proper image domains

Rafał Czyż. "Pluriharmonic extension in proper image domains." Annales Polonici Mathematici 96.2 (2009): 163-174. <http://eudml.org/doc/280763>.

@article{RafałCzyż2009,
abstract = {Let $D_\{j\}$ be a bounded hyperconvex domain in $ℂ^\{n_\{j\}\}$ and set $D = D₁ ×⋯× D_\{s\}$, j=1,...,s, s ≥ 3. Also let $Ω_π$ be the image of D under the proper holomorphic map π. We characterize those continuous functions $f:∂Ω_π → ℝ$ that can be extended to a real-valued pluriharmonic function in $Ω_π$.},
author = {Rafał Czyż},
journal = {Annales Polonici Mathematici},
keywords = {pluriharmonic function; proper map; hyperconvex domain},
language = {eng},
number = {2},
pages = {163-174},
title = {Pluriharmonic extension in proper image domains},
url = {http://eudml.org/doc/280763},
volume = {96},
year = {2009},
}

TY - JOUR
AU - Rafał Czyż
TI - Pluriharmonic extension in proper image domains
JO - Annales Polonici Mathematici
PY - 2009
VL - 96
IS - 2
SP - 163
EP - 174
AB - Let $D_{j}$ be a bounded hyperconvex domain in $ℂ^{n_{j}}$ and set $D = D₁ ×⋯× D_{s}$, j=1,...,s, s ≥ 3. Also let $Ω_π$ be the image of D under the proper holomorphic map π. We characterize those continuous functions $f:∂Ω_π → ℝ$ that can be extended to a real-valued pluriharmonic function in $Ω_π$.
LA - eng
KW - pluriharmonic function; proper map; hyperconvex domain
UR - http://eudml.org/doc/280763
ER -