| Autor: |
Daniilidis, Aris, Haddou, Mounir, Le Gruyer, Erwan, Ley, Olivier |
| Předmět: |
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| Zdroj: |
Proceedings of the American Mathematical Society; Oct2018, Vol. 146 Issue 10, p4487-4495, 9p |
| Abstrakt: |
We give a simple alternative proof for the C1,1-convex extension problem which has been introduced and studied by D. Azagra and C. Mudarra (2017). As an application, we obtain an easy constructive proof for the Glaeser-Whitney problem of C1,1 extensions on a Hilbert space. In both cases we provide explicit formulae for the extensions. For the Glaeser-Whitney problem the obtained extension is almost minimal, that is, minimal up to a multiplicative factor in the sense of Le Gruyer (2009). [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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