Interpolation of uniformly absolutely continuous operators

0391450 - MÚ 2014 RIV DE eng J - Journal Article
Cobos, F. - Gogatishvili, Amiran - Opic, B. - Pick, L.
Interpolation of uniformly absolutely continuous operators.
Mathematische Nachrichten. Roč. 286, 5-6 (2013), s. 579-599. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA ČR GA201/08/0383
Institutional support: RVO:67985840
Keywords : uniformly absolutely continuous operators * interpolation * type of an interpolation method
Subject RIV: BA - General Mathematics
Impact factor: 0.658, year: 2013
http://onlinelibrary.wiley.com/doi/10.1002/mana.201100205/full

We develop a method suitable for interpolation of uniformly absolutely continuous operators. This method can be applied to obtain 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.
Permanent Link: http://hdl.handle.net/11104/0220507