-pseudoconvex and -complete domains
q-completeness and q-concavity of the union of open subspaces.
q-Completeness of Subsets in Complex Projective Space.
q-konvexe Restmengen in kompakten komplexen Mannigfaltigkeiten.
q-plurisubharmonicity and q-pseudoconvexity in Cn.
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.