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The Module Structure Theorem for Sobolev Spaces on Open Manifolds
Author(s) -
Eichhorn Jürgen,
Fricke Jan
Publication year - 1998
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.19981940105
Subject(s) - mathematics , sobolev space , embedding , sobolev inequality , bounded function , pure mathematics , sobolev spaces for planar domains , interpolation space , mathematical analysis , functional analysis , computer science , biochemistry , chemistry , artificial intelligence , gene
We prove a general embedding theorem for Sobolev spaces on open manifolds of bounded geometry and infer from this the module structure theorem. Thereafter we apply this to weighted Sobolev spaces.