BMO and injectivity of space quasiregular mappings

Authors
Martio, O Ryazanov, V Vuorinen, M
Citation
O. Martio et al., BMO and injectivity of space quasiregular mappings, MATH NACHR, 205, 1999, pp. 149-161
Citations number
43
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
205
Year of publication
1999
Pages
149 - 161
Database
ISI
SICI code
0025-584X(1999)205:<149:BAIOSQ>2.0.ZU;2-4
Abstract
it is shown that if the dilatation tensor G(f) of a space quasiregular mapp ing f belongs to the space VMO (vanishing mean oscillation), then f is a lo cal homeomorphism. The same is true if the BMO-norm of G(f) is small or if G(f) is only close to the VMO space in the BMO-norm.