BMO and injectivity of space quasiregular mappings



: Martio O., Ryazanov V., Vuorinen M.

: 1999

Mathematical News / Mathematische Nachrichten

Mathematische Nachrichten

: 205

: null

: 149

: 161

: 0025-584X

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


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