Continuous pluriharmonic boundary values

Per Åhag, and Rafał Czyż. "Continuous pluriharmonic boundary values." Annales Polonici Mathematici 91.2-3 (2007): 99-117. <http://eudml.org/doc/280307>.

@article{PerÅhag2007,
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 ₙ be the symmetrized polydisc in ℂⁿ, n ≥ 3. We characterize those real-valued continuous functions defined on the boundary of D or ₙ which can be extended to the inside to a pluriharmonic function. As an application a complete characterization of the compliant functions is obtained.},
author = {Per Åhag, Rafał Czyż},
journal = {Annales Polonici Mathematici},
keywords = {analytic disc; compliant function; Dirichlet problem; Jensen measure; pluriharmonic function; symmetrized polydisc},
language = {eng},
number = {2-3},
pages = {99-117},
title = {Continuous pluriharmonic boundary values},
url = {http://eudml.org/doc/280307},
volume = {91},
year = {2007},
}

TY - JOUR
AU - Per Åhag
AU - Rafał Czyż
TI - Continuous pluriharmonic boundary values
JO - Annales Polonici Mathematici
PY - 2007
VL - 91
IS - 2-3
SP - 99
EP - 117
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 ₙ be the symmetrized polydisc in ℂⁿ, n ≥ 3. We characterize those real-valued continuous functions defined on the boundary of D or ₙ which can be extended to the inside to a pluriharmonic function. As an application a complete characterization of the compliant functions is obtained.
LA - eng
KW - analytic disc; compliant function; Dirichlet problem; Jensen measure; pluriharmonic function; symmetrized polydisc
UR - http://eudml.org/doc/280307
ER -