On subextension and approximation of plurisubharmonic functions with given boundary values

Hichame Amal. "On subextension and approximation of plurisubharmonic functions with given boundary values." Annales Polonici Mathematici 110.3 (2014): 247-258. <http://eudml.org/doc/280221>.

@article{HichameAmal2014,
abstract = {Our aim in this article is the study of subextension and approximation of plurisubharmonic functions in $_χ(Ω,H)$, the class of functions with finite χ-energy and given boundary values. We show that, under certain conditions, one can approximate any function in $_χ(Ω,H)$ by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.},
author = {Hichame Amal},
journal = {Annales Polonici Mathematici},
keywords = {subextension of plurisubharmonic functions; approximation of plurisubharmonic functions; Monge-Ampère operator},
language = {eng},
number = {3},
pages = {247-258},
title = {On subextension and approximation of plurisubharmonic functions with given boundary values},
url = {http://eudml.org/doc/280221},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Hichame Amal
TI - On subextension and approximation of plurisubharmonic functions with given boundary values
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 3
SP - 247
EP - 258
AB - Our aim in this article is the study of subextension and approximation of plurisubharmonic functions in $_χ(Ω,H)$, the class of functions with finite χ-energy and given boundary values. We show that, under certain conditions, one can approximate any function in $_χ(Ω,H)$ by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.
LA - eng
KW - subextension of plurisubharmonic functions; approximation of plurisubharmonic functions; Monge-Ampère operator
UR - http://eudml.org/doc/280221
ER -