BMO and Injectivity of Space Quasiregular Mappings | Zendy

Martio Olli | Zendy; Ryazanov Vladimir | Zendy; Vuorinen Matti | Zendy

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BMO and Injectivity of Space Quasiregular Mappings

Author(s) -

Martio Olli,

Ryazanov Vladimir,

Vuorinen Matti

Publication year - 1999

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.3212050108

Subject(s) - mathematics , norm (philosophy) , bounded mean oscillation , homeomorphism (graph theory) , space (punctuation) , pure mathematics , mathematical analysis , oscillation (cell signaling) , tensor (intrinsic definition) , discrete mathematics , hardy space , computer science , political science , law , operating system , biology , genetics

It is shown that if the dilatation tensor G f of a space quasi regular mapping f belongs to the space VMO (vanishing mean oscillation), then f is a local 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.

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