HARTOGS TYPE THEOREMS ON COVERINGS OF STEIN MANIFOLDS
نویسندگان
چکیده
منابع مشابه
Hartogs Type Theorems on Coverings of Stein Manifolds
We prove an analog of the classical Hartogs extension theorem for certain (possibly unbounded) domains on coverings of Stein manifolds.
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Let ∆ ⊆ C be the open unit disc and let Σ ⊆ ∆×∆ be a compact set such that K = Σ ∪ (∂∆×∆) is a connected set. It is a classical result by Hartogs that if Σ is an analytic variety over ∆ with the boundary in ∂∆×∆, then every function holomorphic in a connected neighbourhood of K extends holomorphically to a neighbourhood of ∆ × ∆. It is proved that the same conclusion holds if Σ is a ‘continuous...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2006
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x06003515