Boundary cross theorem in dimension 1

• Autorzy: Peter Pflug , Viêt-Anh Nguyên
• Języki publikacji: EN

Abstrakty

EN

Let X, Y be two complex manifolds of dimension 1 which are countable at infinity, let D ⊂ X, G ⊂ Y be two open sets, let A (resp. B) be a subset of ∂D (resp. ∂G), and let W be the 2-fold cross ((D∪A)×B) ∪ (A×(B∪G)). Suppose in addition that D (resp. G) is Jordan-curve-like on A (resp. B) and that A and B are of positive length. We determine the "envelope of holomorphy" Ŵ of W in the sense that any function locally bounded on W, measurable on A × B, and separately holomorphic on (A × G) ∪ (D × B) "extends" to a function holomorphic on the interior of Ŵ.

Kategorie tematyczne

• 32D10: Envelopes of holomorphy
• 32D15: Continuation of analytic objects

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 90
• Numer: 2
• Strony: 149-192

Daty

wydano

2007

Twórcy

autor

Peter Pflug

• Fachbereich Mathematik, Carl von Ossietzky Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany

autor

Viêt-Anh Nguyên

• Mathematics Section, The Abdus Salam International Centre, for Theoretical Physics, Strada Costiera, 11, 34014 Trieste, Italy

Identyfikatory

DOI

10.4064/ap90-2-5