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Connectedness of the Carathéodory discs for doubly connected domains

100%

Frerick L., Schmieder G.

Annales Polonici Mathematici

2005

tom 85

nr 3

281-282

We prove that the Carathéodory discs for doubly connected domains in the complex plane are connected.

Extension of vector-valued holomorphic and harmonic functions

81%

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 Annales Polonici Mathematici

1 Studia Mathematica

2 Frerick L.

1 Bonet J.

1 Jordá E.

1 Schmieder G.

1 2007

1 2005

Wyniki wyszukiwania

Connectedness of the Carathéodory discs for doubly connected domains

Extension of vector-valued holomorphic and harmonic functions