Continuity of the relative extremal function on analytic varieties in ℂⁿ

Frank Wikström. "Continuity of the relative extremal function on analytic varieties in ℂⁿ." Annales Polonici Mathematici 86.3 (2005): 219-225. <http://eudml.org/doc/281021>.

@article{FrankWikström2005,
abstract = {Let V be an analytic variety in a domain Ω ⊂ ℂⁿ and let K ⊂ ⊂ V be a closed subset. By studying Jensen measures for certain classes of plurisubharmonic functions on V, we prove that the relative extremal function $ω_K$ is continuous on V if Ω is hyperconvex and K is regular.},
author = {Frank Wikström},
journal = {Annales Polonici Mathematici},
keywords = {plurisubharmonic functions; analytic varieties; relative extremal function},
language = {eng},
number = {3},
pages = {219-225},
title = {Continuity of the relative extremal function on analytic varieties in ℂⁿ},
url = {http://eudml.org/doc/281021},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Frank Wikström
TI - Continuity of the relative extremal function on analytic varieties in ℂⁿ
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 3
SP - 219
EP - 225
AB - Let V be an analytic variety in a domain Ω ⊂ ℂⁿ and let K ⊂ ⊂ V be a closed subset. By studying Jensen measures for certain classes of plurisubharmonic functions on V, we prove that the relative extremal function $ω_K$ is continuous on V if Ω is hyperconvex and K is regular.
LA - eng
KW - plurisubharmonic functions; analytic varieties; relative extremal function
UR - http://eudml.org/doc/281021
ER -