Explicit formulas for $C^{1,1}$ Glaeser-Whitney extensions of 1-fields in Hilbert spaces
Functional Analysis
2018-02-20 v2
Abstract
We give a simple alternative proof for the --convex extension problem which has been introduced and studied by D. Azagra and C. Mudarra [2]. As an application, we obtain an easy constructive proof for the Glaeser-Whitney problem of extensions on a Hilbert space. In both cases we provide explicit formulae for the extensions. For the Gleaser-Whitney problem the obtained extension is almost minimal, that is, minimal up to a factor in the sense of Le Gruyer [15].
Keywords
Cite
@article{arxiv.1706.01721,
title = {Explicit formulas for $C^{1,1}$ Glaeser-Whitney extensions of 1-fields in Hilbert spaces},
author = {Aris Daniilidis and Mounir Haddou and Erwan Le Gruyer and Olivier Ley},
journal= {arXiv preprint arXiv:1706.01721},
year = {2018}
}