We generalize classical results for plurisubharmonic functions and hyperconvex domain to q-plurisubharmonic functions and q-hyperconvex domains. We show, among other things, that Bq-regular domains are q-hyperconvex. Moreover, some smoothing results for q-plurisubharmonic functions are also given.
@article{urn:eudml:doc:41594,
title = {q-plurisubharmonicity and q-pseudoconvexity in Cn.},
journal = {Publicacions Matem\`atiques},
volume = {50},
year = {2006},
pages = {349-369},
zbl = {1116.32025},
mrnumber = {MR2273665},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41594}
}
Dieu, Nguyen Quang. q-plurisubharmonicity and q-pseudoconvexity in Cn.. Publicacions Matemàtiques, Tome 50 (2006) pp. 349-369. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41594/