Chord-arc surfaces with small constant, I

35Citations
Citations of this article
4Readers
Mendeley users who have this article in their library.

Abstract

We introduce a notion for hypersurfaces in Rd + 1that is analogous to the chord-arc condition with small constant for curves in the plane. We give various equivalent operator-theoretic, function-theoretic, and geometrical characterizations of these surfaces. We not know any nice potential-theoretic characterizations. In a companion paper we address the issue of finding good parameterizations for these surfaces. © 1991.

Cite

CITATION STYLE

APA

Semmes, S. (1991). Chord-arc surfaces with small constant, I. Advances in Mathematics, 85(2), 198–223. https://doi.org/10.1016/0001-8708(91)90056-D

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free