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/