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Some Properties of Loeb‐Sobolev Spaces
Author(s) -
Arkeryd Leif,
Bergh Jöran
Publication year - 1986
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-34.2.317
Subject(s) - sobolev space , embedding , mathematics , multiplier (economics) , trace (psycholinguistics) , pure mathematics , interpolation space , sobolev inequality , functional analysis , computer science , philosophy , economics , linguistics , biochemistry , chemistry , artificial intelligence , gene , macroeconomics
This paper studies spaces of Sobolev type based on the Loeb integral. Among the results are two Fourier multiplier theorems for Loeb L p ‐spaces, together with an embedding theorem, and a trace theorem for Loeb‐Sobolev spaces.