The Donnelly-Fefferman theorem on $q$-pseudoconvex domains
Ahn, Heungju ; Dieu, Nguyen Quang
Osaka J. Math., Tome 46 (2009) no. 1, p. 599-610 / Harvested from Project Euclid
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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 $\overline{\partial}$-closed forms.
Publié le : 2009-09-15
Classification:  32W05,  32F10 
@article{1256564197,
     author = {Ahn, Heungju and Dieu, Nguyen Quang},
     title = {The Donnelly-Fefferman theorem on $q$-pseudoconvex domains},
     journal = {Osaka J. Math.},
     volume = {46},
     number = {1},
     year = {2009},
     pages = { 599-610},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256564197}
}

Ahn, Heungju; Dieu, Nguyen Quang. The Donnelly-Fefferman theorem on $q$-pseudoconvex domains. Osaka J. Math., Tome 46 (2009) no. 1, pp.  599-610. http://gdmltest.u-ga.fr/item/1256564197/