Sur les réflexions des courbes de Lavrentiev
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- by Michel Zinsmeister PDF
- Proc. Amer. Math. Soc. 120 (1994), 1177-1180 Request permission
Abstract:
We answer a question of Semmes: A Jordan curve $\Gamma$ admitting a quasiconformal reflexion, which is "conformal" near $\Gamma$ in a sense given precisely by a Carleson measure condition, is necessarily rectifiable.References
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- Stephen Semmes, Chord-arc surfaces with small constant. I, Adv. Math. 85 (1991), no. 2, 198–223. MR 1093006, DOI 10.1016/0001-8708(91)90056-D
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- Michel Zinsmeister, Les domaines de Carleson, Michigan Math. J. 36 (1989), no. 2, 213–220 (French). MR 1000525, DOI 10.1307/mmj/1029003944
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 1177-1180
- MSC: Primary 30C62; Secondary 42B99
- DOI: https://doi.org/10.1090/S0002-9939-1994-1172956-0
- MathSciNet review: 1172956