Revistes Catalanes amb Accés Obert (RACO)

q-Plurisubharmonicity and q-pseudoconvexity in cn

Nguyen Quang Dieu

Resum


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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