Extension of vector-valued functions
Frerick, Leonhard ; Jordá, Enrique
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 499-507 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2007-09-14
Classification:  vector valued holomorphic functions,  harmonic functions,  topological sheaves,  Fréchet-Schwartz spaces,  locally complete spaces,  46E40,  46A04 
@article{1190994211,
     author = {Frerick, Leonhard and Jord\'a, Enrique},
     title = {Extension of vector-valued functions},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 499-507},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190994211}
}

Frerick, Leonhard; Jordá, Enrique. Extension of vector-valued functions. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  499-507. http://gdmltest.u-ga.fr/item/1190994211/