Scott Zimmerman

activity

20152024

most citedThe Dubovitski\uı-Sard Theorem in Sobolev Spaces

1 citations · 1 across the 4 of their papers we have counts for

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math.CA2020

Singular integrals on $C_{w^{*}}^{1, α}$ regular curves in Banach duals

Scott Zimmerman

The modern study of singular integral operators on curves in the plane began in the 1970's. Since then, there has been a vast array of work done on the boundedness of singular inte…

math.CA2020

Singular integrals on $C^{1, α}$ regular curves in Carnot groups

Vasileios Chousionis, Sean Li, Scott Zimmerman

Let $G$ be any Carnot group. We prove that if a convolution type singular integral associated with a $1$ -dimensional Calderón-Zygmund kernel is $L^{2}$ -bounded on horizontal…

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…

Singular integrals on Cw∗1,α​ regular curves in Banach duals

Singular integrals on C1,α regular curves in Carnot groups

The Dubovitski\uı-Sard Theorem in Sobolev Spaces

Singular integrals on $C_{w^{*}}^{1, α}$ regular curves in Banach duals

Singular integrals on $C^{1, α}$ regular curves in Carnot groups