Abstract
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.
Citation
David A. Herron. Pekka Koskela. "Mappings of finite distortion: gauge dimension of generalized quasicircles." Illinois J. Math. 47 (4) 1243 - 1259, Winter 2003. https://doi.org/10.1215/ijm/1258138102
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