Extension operators for spaces of infinite differentiable Whitney jets
Identifieur interne : 000647 ( Istex/Checkpoint ); précédent : 000646; suivant : 000648Extension operators for spaces of infinite differentiable Whitney jets
Auteurs : Leonhard Frerick [Allemagne]Source :
- Journal für die reine und angewandte Mathematik (Crelles Journal) [ 0075-4102 ] ; 2007-01-29.
Abstract
In this article we present new results concerning the existence of extension operators for spaces of Whitney jets. Starting with the basic facts about Whitney functions on closed sets F we show that the existence of an extension operator is equivalent to the validity of certain simple interpolative inequalities on the space of Whitney functions. We give equivalent conditions in the spirit of the Markov type inequalities of Pawlucki, Plesniak, Bos, and Milman. Also simple sufficient geometric conditions are given.
Url:
DOI: 10.1515/CRELLE.2007.005
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