Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties

Barbara Drinovec Drnovšek, and Franc Forstnerič. "Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties." Annales Polonici Mathematici 106.1 (2012): 171-191. <http://eudml.org/doc/280582>.

@article{BarbaraDrinovecDrnovšek2012,
abstract = {We establish plurisubharmonicity of envelopes of certain classical disc functionals on locally irreducible complex spaces, thereby generalizing the corresponding results for complex manifolds. We also find new formulae expressing the Siciak-Zaharyuta extremal function of an open set in a locally irreducible affine algebraic variety as the envelope of certain disc functionals, similarly to what has been done for open sets in ℂⁿ by Lempert and by Lárusson and Sigurdsson.},
author = {Barbara Drinovec Drnovšek, Franc Forstnerič},
journal = {Annales Polonici Mathematici},
keywords = {complex spaces; plurisubharmonic function; disc functional; Siciak-Zaharyuta extremal functions},
language = {eng},
number = {1},
pages = {171-191},
title = {Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties},
url = {http://eudml.org/doc/280582},
volume = {106},
year = {2012},
}

TY - JOUR
AU - Barbara Drinovec Drnovšek
AU - Franc Forstnerič
TI - Disc functionals and Siciak-Zaharyuta extremal functions on singular varieties
JO - Annales Polonici Mathematici
PY - 2012
VL - 106
IS - 1
SP - 171
EP - 191
AB - We establish plurisubharmonicity of envelopes of certain classical disc functionals on locally irreducible complex spaces, thereby generalizing the corresponding results for complex manifolds. We also find new formulae expressing the Siciak-Zaharyuta extremal function of an open set in a locally irreducible affine algebraic variety as the envelope of certain disc functionals, similarly to what has been done for open sets in ℂⁿ by Lempert and by Lárusson and Sigurdsson.
LA - eng
KW - complex spaces; plurisubharmonic function; disc functional; Siciak-Zaharyuta extremal functions
UR - http://eudml.org/doc/280582
ER -