q-Plurisubharmonicity and q-pseudoconvexity in cn

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Nguyen Quang Dieu
We generalize classical results for plurisubharmonic functions and hyperconvex domain to $q$-plurisubharmonic functions and $q$-hyperconvex domains. We show, among other things, that $B_q$-regular domains are $q$-hyperconvex. Moreover, some smoothing results for $q$-plurisubharmonic functions are also given.

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Quang Dieu, Nguyen. «Q-Plurisubharmonicity and q-pseudoconvexity in cn». Publicacions Matemàtiques, 2006, vol.VOL 50, núm. 2, p. 349-6, http://raco.cat/index.php/PublicacionsMatematiques/article/view/49971.