A. Frei-Pearson

collaborators

2 papers

math.FA2021

The norm of linear extension operators for $C^{m - 1, 1} (R^{n})$

Jacob Carruth, Abraham Frei-Pearson, Arie Israel

Fix integers $m \geq 2$ , $n \geq 1$ . We prove the existence of a bounded linear extension operator for $C^{m - 1, 1} (R^{n})$ with operator norm at most $exp (γ D^{k})$ , where $D := \binom{m+n…

math.CA2018

A coordinate-free proof of the finiteness principle for the Whitney extension problem

Jacob Carruth, Abraham Frei-Pearson, Arie Israel +1

We present a coordinate-free version of Fefferman's solution of Whitney's extension problem in the space $C^{m - 1, 1} (R^{n})$ . While the original argument relies on an elabora…

The norm of linear extension operators for Cm−1,1(Rn)

A coordinate-free proof of the finiteness principle for the Whitney extension problem

The norm of linear extension operators for $C^{m - 1, 1} (R^{n})$