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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Sur les réflexions des courbes de Lavrentiev


Author: Michel Zinsmeister
Journal: Proc. Amer. Math. Soc. 120 (1994), 1177-1180
MSC: Primary 30C62; Secondary 42B99
MathSciNet review: 1172956
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1172956-0
PII: S 0002-9939(1994)1172956-0
Article copyright: © Copyright 1994 American Mathematical Society