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The oscillation of harmonic and quasiregular mappings

✍ Scribed by J.M. Anderson; A. Hinkkanen

Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
133 KB
Volume
239
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES

BMO and Injectivity of Space Quasiregula
BMO and Injectivity of Space Quasiregular Mappings
✍ Olli Martio; Vladimir Ryazanov; Matti Vuorinen πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 567 KB

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.