𝔖 Bobbio Scriptorium
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Constants of simultaneous extension of continuous functions

✍ Scribed by Y. Benyamini


Book ID
112884222
Publisher
The Hebrew University Magnes Press
Year
1973
Tongue
English
Weight
192 KB
Volume
16
Category
Article
ISSN
0021-2172

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Continuous Linear Extension of Ultradiff
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## 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