On the extension of Whitney ultrajets of Beurling type

Abstract

We prove a version of Whitney's extension theorem in the ultradifferentiable Beurling setting with controlled loss of regularity. As a by-product we show the existence of continuous linear extension operators on certain spaces of Whitney ultrajets on arbitrary closed sets in ${\mathbb{R}}^n$.

arXiv comment17 pages, 1 figure; some minor misprints corrected; accepted for publication in Results in Mathematics