Subextension of plurisubharmonic functions without changing the Monge-Ampère measures and applications
Annales Polonici Mathematici (2014)
- Volume: 112, Issue: 1, page 55-66
- ISSN: 0066-2216
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topLe Mau Hai, and Nguyen Xuan Hong. "Subextension of plurisubharmonic functions without changing the Monge-Ampère measures and applications." Annales Polonici Mathematici 112.1 (2014): 55-66. <http://eudml.org/doc/281042>.
@article{LeMauHai2014,
abstract = {The aim of the paper is to investigate subextensions with boundary values of certain plurisubharmonic functions without changing the Monge-Ampère measures. From the results obtained, we deduce that if a given sequence is convergent in $C_\{n-1\}$-capacity then the sequence of the Monge-Ampère measures of subextensions is weakly*-convergent. As an application, we investigate the Dirichlet problem for a nonnegative measure μ in the class ℱ(Ω,g) without the assumption that μ vanishes on all pluripolar sets.},
author = {Le Mau Hai, Nguyen Xuan Hong},
journal = {Annales Polonici Mathematici},
keywords = {complex Monge-Ampere operator; plurisubharmonic function; subextension},
language = {eng},
number = {1},
pages = {55-66},
title = {Subextension of plurisubharmonic functions without changing the Monge-Ampère measures and applications},
url = {http://eudml.org/doc/281042},
volume = {112},
year = {2014},
}
TY - JOUR
AU - Le Mau Hai
AU - Nguyen Xuan Hong
TI - Subextension of plurisubharmonic functions without changing the Monge-Ampère measures and applications
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 1
SP - 55
EP - 66
AB - The aim of the paper is to investigate subextensions with boundary values of certain plurisubharmonic functions without changing the Monge-Ampère measures. From the results obtained, we deduce that if a given sequence is convergent in $C_{n-1}$-capacity then the sequence of the Monge-Ampère measures of subextensions is weakly*-convergent. As an application, we investigate the Dirichlet problem for a nonnegative measure μ in the class ℱ(Ω,g) without the assumption that μ vanishes on all pluripolar sets.
LA - eng
KW - complex Monge-Ampere operator; plurisubharmonic function; subextension
UR - http://eudml.org/doc/281042
ER -
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