Abstract

Let V be a regular subvariety of a non-degenerate analytic polyhedron Ω ⊂ Cⁿ. If V intersects ∂Ω transversally in a certain sense, then each bounded holomorphic function on V has a bounded holomorphic extension to Ω. Furthermore, a function in H^p(V ) has an extension in H^p(Ω). Under a weaker transversality condition each f in O(V ) ∩ L^p(V ) has an extension to a function in O(Ω) ∩ L^p(Ω), p < ∞.

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