Revista Matemática Iberoamericana
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The Whitney extension theorem in high dimensionsAlan Chang (1) Department of Mathematics, University of Chicago, 5734 S. University Avenue, IL 60637, 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