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On the zeros and growth of quasiregular mappings

✍ Scribed by Pentti Järvi

Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
527 KB
Volume
82
Category
Article
ISSN
0021-7670

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BMO and Injectivity of Space Quasiregula
BMO and Injectivity of Space Quasiregular Mappings
✍ Olli Martio; Vladimir Ryazanov; Matti Vuorinen 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 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.