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Interpolation of uniformly absolutely continuous operators
Author(s) -
Cobos Fernando,
Gogatishvili Amiran,
Opic Bohumír,
Pick Luboš
Publication year - 2013
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.201100205
Subject(s) - mathematics , interpolation (computer graphics) , limiting , absolute continuity , compact space , linear interpolation , operator theory , mathematical analysis , computer science , artificial intelligence , motion (physics) , mechanical engineering , polynomial , engineering
Abstract We develop a method suitable for interpolation of uniformly absolutely continuous operators. We then apply this method to establishing compactness of operators and embeddings especially in the limiting situations, where the classical interpolation methods fail. We study types of certain interpolation methods and their sharpness.