ON LOCAL INJECTIVITY AND ASYMPTOTIC LINEARITY OF QUASI-REGULAR MAPPINGS

Authors
GUTLYANSKII VY MARTIO O RYAZANOV VI VUORINEN M
Citation
Vy. Gutlyanskii et al., ON LOCAL INJECTIVITY AND ASYMPTOTIC LINEARITY OF QUASI-REGULAR MAPPINGS, Studia Mathematica, 128(3), 1998, pp. 243-271
Citations number
31
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
128
Issue
3
Year of publication
1998
Pages
243 - 271
Database
ISI
SICI code
0039-3223(1998)128:3<243:OLIAAL>2.0.ZU;2-Z
Abstract
It is shown that the approximate continuity of the dilatation matrix o f a quasiregular mapping f at x(0) implies the local injectivity and t he asymptotic linearity of f at x(0). Sufficient conditions for log /f (x) - f(x(0))/ to behave asymptotically as log /x - x(0)/ are given. S ome global injectivity results are derived.