Characterizations of Function Spaces on a Complete R IEMANN ian Manifold with Bounded Geometry | Zendy

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Characterizations of Function Spaces on a Complete R IEMANN ian Manifold with Bounded Geometry

Author(s) -

Triebel Hans

Publication year - 1987

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.19871300127

Subject(s) - mathematics , bounded function , geodesic , riemannian manifold , pure mathematics , sobolev space , manifold (fluid mechanics) , lift (data mining) , riemannian geometry , type (biology) , invariant (physics) , mathematical analysis , geometry , mechanical engineering , ecology , biology , computer science , engineering , data mining , mathematical physics

The paper deals with some classes of function spaces on a complete R IEMANN ian manifold with bounded geometry which include spaces of B ESOV type, S OBOLEV type, B ESSEL ‐potential type and Hölder‐Z YGMUND type. We describe characterizations via differences (taken along geodesics) and invariant derivatives. A lift property is proved.

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