Chord-arc surfaces with small constant, I

  • Semmes S
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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.

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  • Stephen Semmes

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