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11.
Let M be a CR manifold. The main results of this paper are the following:
- When M is real analytic, a semi-global Hartogs extension phenomenon occurs for real analytic CR functions if and only if M is nowhere strictly pseudoconvex and
.
- When M is a standard manifold, the Hartogs–Bochner extension phenomenon occurs for non-CR-confined domains if and only if M is nowhere strictly pseudoconvex and dimCRM2.
- If M is a smooth submanifold of
foliated by complex curves, a semi-global Hartogs–Bochner extension phenomenon occurs for smooth non-CR-confined domains if and only if dimCRM2.
- If M is a real analytic nowhere strictly pseudoconvex manifold and if Ω is a sufficiently small domain in M, a hyperfunction which is real analytic in a neighborhood of bΩ and CR in a neighborhood of
is in fact real analytic on Ω.
Mots-clé: Hartogs; Variétés CR; Nulle part strictement pseudoconvexe; Hyperfonction; Représentation intégraleMots-clé: Hartogs; CR manifold; Nowhere strictly pseudoconvex; Hyperfunction; Integral representation 相似文献
12.
George Benke 《Journal of Mathematical Analysis and Applications》2003,284(2):647-655
Given N?1 and d?1, we show the existence of positive integers λkj for 1?k?N and 1?j?d such that