The Whitney extension theorem in high dimensions

Chang, Alan

doi:10.4171/RMI/952

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

Published online: 2017-05-09

The Whitney extension theorem in high dimensions

Alan Chang^[1]

(1) University of Chicago, USA

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