Extremal discs and holomorphic extension from convex hypersurfaces

• Autores: Luca Baracco, Alexander Tumanov, Giuseppe Zampieri
• Localización: Arkiv för matematik, ISSN 0004-2080, Vol. 45, Nº 1, 2007, págs. 1-13
• Idioma: inglés
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• Resumen

  • Let D be a convex domain with smooth boundary in complex space and let f be a continuous function on the boundary of D. Suppose that f holomorphically extends to the extremal discs tangent to a convex subdomain of D. We prove that f holomorphically extends to D. The result partially answers a conjecture by Globevnik and Stout of 1991.