Extension of separately holomorphic functions–-a survey 1899–2001
نویسندگان
چکیده
منابع مشابه
A General Version of the Hartogs Extension Theorem for Separately Holomorphic Mappings between Complex Analytic Spaces
Using recent development in Poletsky theory of discs, we prove the following result: Let X, Y be two complex manifolds, let Z be a complex analytic space which possesses the Hartogs extension property, let A (resp. B) be a non locally pluripolar subset of X (resp. Y ). We show that every separately holomorphic mapping f : W := (A × Y ) ∪ (X × B) −→ Z extends to a holomorphic mapping f̂ on Ŵ := {...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2003
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap80-0-1