Abstract
We prove a variant of the classical Whitney extension theorem, in which the $C^m$-norm of the extending function is controlled up to a given, small percentage error.
Citation
Charles Fefferman . "The $C^m$ Norm of a Function with Prescribed Jets I." Rev. Mat. Iberoamericana 26 (3) 1075 - 1098, September, 2010.
Information
Published: September, 2010
First available in Project Euclid: 27 August 2010
zbMATH: 1228.42021
MathSciNet: MR2789377
Subjects:
Primary:
49K24
,
52A35
Keywords:
optimal $C^m$ norm
,
Whitney extension theorem
Rights: Copyright © 2010 Departamento de Matemáticas, Universidad Autónoma de Madrid
