Bi-Lipschitzity of quasiconformal harmonic mappings in n-dimensional space with respect to k-metric

Shadia Shalandi
2017 Publications de l'Institut Mathématique (Beograd)  
We explore conditions which guarantee bi-Lipschitzity of harmonic quasiconformal maps with respect to -metric. We prove that harmonic -quasiconformal maps with nonzero Jacobian between any two domains in R are bi-Lipschitz with respect to -metric, and prove the converse too. 2010 Mathematics Subject Classification: 30C65; 42B37.
doi:10.2298/pim1716085s fatcat:iii3uddkkjbdzpojf43bai3lta