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q-plurisubharmonicity and q-pseudoconvexity in Cn.

Nguyen Quang Dieu (2006)

Publicacions Matemàtiques

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.

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