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Reiteration theorems for the K ‐interpolation method in limiting cases
Author(s) -
Ahmed I.,
Edmunds D. E.,
Evans W. D.,
Karadzhov G. E.
Publication year - 2011
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.200810108
Subject(s) - limiting , interpolation (computer graphics) , mathematics , mathematical analysis , computer science , artificial intelligence , mechanical engineering , motion (physics) , engineering
Sharp reiteration theorems for the K ‐interpolation method in limiting cases are proved using two‐sided estimates of the K ‐functional. As an application, sharp mapping properties of the Riesz potential are derived in a limiting case. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim