Open Access
September 2007 Extension of vector-valued functions
Leonhard Frerick, Enrique Jordá
Bull. Belg. Math. Soc. Simon Stevin 14(3): 499-507 (September 2007). DOI: 10.36045/bbms/1190994211

Abstract

We discuss problems of extension of vector-valued functions defined on subsets of a domain $\Omega\subset\mathbb{R}^N$ which have weak extensions belonging to a space $\mathscr{H}(\Omega)$ of smooth functions. We look for conditions which ensure that there exists an extension in the corresponding space $\mathscr{H}(\Omega,E)$ of vector-valued functions.

Citation

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Leonhard Frerick. Enrique Jordá. "Extension of vector-valued functions." Bull. Belg. Math. Soc. Simon Stevin 14 (3) 499 - 507, September 2007. https://doi.org/10.36045/bbms/1190994211

Information

Published: September 2007
First available in Project Euclid: 28 September 2007

zbMATH: 1141.46018
MathSciNet: MR2387047
Digital Object Identifier: 10.36045/bbms/1190994211

Subjects:
Primary: 46A04 , 46E40

Keywords: Fréchet-Schwartz spaces , Harmonic functions , locally complete spaces , topological sheaves , vector valued holomorphic functions

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 3 • September 2007
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