Scott Zimmerman

activity

20142024

most citedAn implicit function theorem for Lipschitz mappings into metric spaces

4 citations · 5 across the 11 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.MG2015

The Whitney Extension Theorem for $C^{1}$ , horizontal curves in the Heisenberg group

Scott Zimmerman

For a real valued function defined on a compact set $K \subset R^{m}$ , the classical Whitney Extension Theorem from 1934 gives necessary and sufficient conditions for the ex…

math.CA2015★ 1 cited

The Dubovitski\uı-Sard Theorem in Sobolev Spaces

Piotr Hajłasz, Scott Zimmerman

The Sard theorem from 1942 requires that a mapping $f : R^{n} \to R^{m}$ is of class $C^{k}$ , $k > max (n - m, 0)$ . In 1957 Duvovitski\uı generalized Sard's theorem to the…

The Whitney Extension Theorem for C1, horizontal curves in the Heisenberg group

The Dubovitski\uı-Sard Theorem in Sobolev Spaces

The Whitney Extension Theorem for $C^{1}$ , horizontal curves in the Heisenberg group