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Koebe arcs and quasiregular mappings

โœ Scribed by Matti Vuorinen


Book ID
105099490
Publisher
Springer-Verlag
Year
1985
Tongue
French
Weight
563 KB
Volume
190
Category
Article
ISSN
0025-5874

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