On conformal dilatation in space

: Bishop C., Gutlyanskiǐ V., Martio O., Vuorinen M.

: 2003

: International Journal of Mathematics and Mathematical Sciences

: 2003

: 22

: 1397

: 1420

: 24

: 0161-1712

DOI: https://doi.org/10.1155/S0161171203110034

: http://api.elsevier.com/content/abstract/scopus_id:17844367317

We study the conformality problems associated with quasiregular mappings in space. Our approach is based on the concept of the infinitesimal space and some new Grötzsch-Teichmüller type modulus estimates that are expressed in terms of the mean value of the dilatation coefficients. Copyright © 2003 Hindawi Publishing Corporation. All rights reserved.