J. Carruth

activity

20122024

most citedA comparison of the discrete Kolmogorov-Smirnov statistic and the Euclidean distance

4 citations · 6 across the 7 of their papers we have counts for

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2 papers · 1 filter

math.FA2024

The Sobolev extension problem on trees and in the plane

Jacob Carruth, Arie Israel

Let $V$ be a finite tree with radially decaying weights. We show that there exists a set $E \subset R^{2}$ for which the following two problems are equivalent: (1) Given a (…

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…

The Sobolev extension problem on trees and in the plane

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

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