Extension of vector-valued holomorphic and harmonic functions

• Autorzy: José Bonet , Leonhard Frerick , Enrique Jordá
• Języki publikacji: EN

Abstrakty

EN

We present a unified approach to the study of extensions of vector-valued holomorphic or harmonic functions based on the existence of weak or weak*-holomorphic or harmonic extensions. Several recent results due to Arendt, Nikolski, Bierstedt, Holtmanns and Grosse-Erdmann are extended. An open problem by Grosse-Erdmann is solved in the negative. Using the extension results we prove existence of Wolff type representations for the duals of certain function spaces.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 46A04: Locally convex Fr\'echet spaces and (DF)-spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 183
• Numer: 3
• Strony: 225-248

Daty

wydano

2007

Twórcy

autor

José Bonet

• Departamento de Matemática Aplicada, and IMPA-UPV, ETS Arquitectura, Universidad Politécnica de Valencia, E-46071 Valencia, Spain

autor

Leonhard Frerick

• FB IV - Mathematik, Universität Trier, D-54286 Trier, Germany

autor

Enrique Jordá

• Departamento de Matemática Aplicada, and IMPA-UPV, E. Politécnica Superior de Alcoy, Universidad Politécnica de Valencia, Plaza Ferrándiz y Carbonell 2, E-03801 Alcoy (Alicante), Spain

Identyfikatory

DOI

10.4064/sm183-3-2