6533b856fe1ef96bd12b1ffd

RESEARCH PRODUCT

Mappings of finite distortion : gauge dimension of generalized quasi-circles

D. A. HerronPekka Koskela

subject

mapping of finite distortionMathematics::General Topologydimensioulottuvuusäärellisen väännön kuvaus

description

We determine the correct dimension gauge for measuring generalized quasicircles (the images of a circle under so-called µ-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. peerReviewed

http://urn.fi/URN:NBN:fi:jyu-201903071767