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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.