Whitney’s extension problem for $C^m$

172 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Minimal Lipschitz Extensions to Differentiable Functions Defined on a Hilbert Space (2009, methodology): “In the multivariate case this problem was initiated by Glaeser [G2] and solved by Brudnyi and Shvartsman [BS] in the case m =1a nd by Fefferman [ Fe1 ,2] in the case m> 1. In some situations (see section 3) we infer from the main theorem the existence of minimal Lipschitz extensions (see the definit”
Whitney’s extension problems and interpolation of data (2008, methodology): “Again, our definition of the Glaeser refinement, taken from [12], is a slight variant of a definition given in [1].”
Sobolev extension by linear operators (2012, background): “shasachanceonlyifthejetsPνinSTEP2arecarefullypickedtobemutuallyconsistent. Arranging this consistency is the hardest part of our proof, and the main difference between our arguments here and those in [8, 9, 10, 11] for Cm(Rn)interpolation. To assign the jets Pνin STEP 2 and achieve their needed mutu”