We determine the correct dimension gauge for measuring
generalized quasicircles (the images of a circle under
so-called $\mu$-homeomorphisms). We establish a sharp
modulus of continuity estimate for the inverse of a
homeomorphism with finite exponentially integrable
distortion. We exhibit several illustrative examples.
Publié le : 2003-10-15
Classification:
30C62,
28A78,
30C65,
31B15
@article{1258138102,
author = {Herron, David A. and Koskela, Pekka},
title = {Mappings of finite distortion: gauge dimension of generalized quasicircles},
journal = {Illinois J. Math.},
volume = {47},
number = {4},
year = {2003},
pages = { 1243-1259},
language = {en},
url = {http://dml.mathdoc.fr/item/1258138102}
}
Herron, David A.; Koskela, Pekka. Mappings of finite distortion: gauge dimension of generalized quasicircles. Illinois J. Math., Tome 47 (2003) no. 4, pp. 1243-1259. http://gdmltest.u-ga.fr/item/1258138102/