Revista Matemática Iberoamericana


Full-Text PDF (215 KB) | Metadata | Table of Contents | RMI summary
Volume 33, Issue 2, 2017, pp. 623–632
DOI: 10.4171/RMI/952

The Whitney extension theorem in high dimensions

Alan Chang[1]

(1) Department of Mathematics, University of Chicago, 5734 S. University Avenue, IL 60637, CHICAGO, UNITED STATES

We prove a variant of the standard Whitney extension theorem for $\mathcal C^m(\mathbb R^n)$, in which the norm of the extension operator has polynomial growth in $n$ for fixed $m$.

Keywords: Whitney extension theorem

Chang Alan: The Whitney extension theorem in high dimensions. Rev. Mat. Iberoamericana 33 (2017), 623-632. doi: 10.4171/RMI/952