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Extension of vector-valued holomorphic and harmonic functions

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Bonet J., Frerick L., Jordá E.

Studia Mathematica

2007

tom 183

nr 3

225-248

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.

Ograniczanie wyników

1 Studia Mathematica

1 Bonet J.

1 Frerick L.

1 Jordá E.

1 2007

Wyniki wyszukiwania

Extension of vector-valued holomorphic and harmonic functions