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Almost analytic extension of ultradifferentiable functions and the boundary values of holomorphic functions

✍ Scribed by Hans-Joachim Petzsche; Dietmar Vogt


Publisher
Springer
Year
1984
Tongue
English
Weight
732 KB
Volume
267
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES


Continuous Linear Extension of Ultradiff
✍ Uwe Franken πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 965 KB

## Abstract For a weight function Ο‰ and a closed set __A__ βŠ‚ ℝ^__N__^ let β„°~(Ο‰)~(__A__) denote the space of all ω‐Whitney jets of Beurling type on __A__. It is shown that for each closed set __A__ βŠ‚ ℝ^__N__^ there exists an ω‐extension operator __EA__: β„°~(Ο‰)~(__A__) β†’ β„°~(Ο‰)~(ℝ^__N__^) if and only i