A1 Refereed original research article in a scientific journal

BMO and injectivity of space quasiregular mappings



Authors: Martio O., Ryazanov V., Vuorinen M.

Publication year: 1999

Journal:: Mathematical News / Mathematische Nachrichten

Journal name in source: Mathematische Nachrichten

Volume: 205

Issue: null

First page : 149

Last page: 161

ISSN: 0025-584X

Web address : http://api.elsevier.com/content/abstract/scopus_id:0040364602


Abstract
It is shown that if the dilatation tensor G of a space quasiregular mapping f belongs to the space VMO (vanishing mean oscillation), then f is a local homeomorphism. The same is true if the BMO-norm of G is small or if G is only close to the VMO space in the BMO-norm.



Last updated on 2025-13-10 at 13:44