Extension of bounded holomorphic functions¶in convex domains |
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| Authors: | Klas Diederich Emmanuel Mazzilli |
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| Institution: | UMR 6623 du CNRS, Laboratoire de Mathématiques, Bureau 401B, 16 route de Gray, 25030 Besan?on Cedex, France. e-mail:berhuy@math.univ-fcomte.fr; frings@math.univ-fcomte.fr, FR
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| Abstract: | The E. Amar and G. Henkin theorem on the bounded extendability of bounded holomorphic functions from certain closed complex
submanifolds of strictly pseudoconvex domains to the whole domain is generalized to the case of finite type convex domains
and their intersections with affine linear hyperplanes. Suitable integral operators of Berndtsson–Andersson type are constructed
and estimated for this purpose.
Received: 7 July 2000 |
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| Keywords: | Mathematics Subject Classification (2000): 32A35 32A26 32F32 32T25 32T27 |
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