Abstract
In this paper we introduce a notion of q-subharmonicity for non-smooth functions and then using q-subharmonic exhaustion function, define a q-pseudoconvexity which is applicable to the domain with non-smooth boundary. Among others, we generalize the Donnelly-Fefferamn type theorem on q-pseudoconvex domains and as an application of this theorem, we give approximation theorem for @-closed forms.
| Original language | English |
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| Pages (from-to) | 599-610 |
| Number of pages | 12 |
| Journal | Osaka Journal of Mathematics |
| Volume | 46 |
| Issue number | 3 |
| State | Published - Sep 2009 |