Extension and restriction of holomorphic functions on convex finite type domains

Authors:

• Michał Jasiczak

Abstract

We consider holomorphic functions on a non-singular subvariety of a smoothly bounded convex domain of finite type. A sufficient and necessary condition is proved for such a function to have an extension to a p-integrable holomorphic function on the whole domain. This is shown under transversallity assumption and certain non-degeneracy condition of the subvariety. © University of Illinois at Urbana-Champaign, Department of Mathematics.