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Hilbert-valued forms and barriers on weakly pseudoconvex domains
Thilliez, V.

Data: 1998
Resum: We introduce an alternative proof of the existence of certain Ck barrier maps, with polynomial explosion of the derivatives, on weakly pseudoconvex domains in Cn. Barriers of this sort have been constructed very recently by J and have various applications. In our paper, the adaptation of HÄormander's L2 techniques to suitable vector-valued functions allows us to give a very simple approach of the problem and to improve some aspects of the result of Michel and Shaw, regarding the explosion of the barrier and the regularity assumption on the domain.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 42 n. 2 (1998) p. 423-433, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_42298_09

11 p, 141.6 KB

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