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Some reiteration formulae for limiting real methods

✍ Scribed by Cobos, Fernando; Segurado, Alba


Book ID
123449192
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
339 KB
Volume
411
Category
Article
ISSN
0022-247X

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## Abstract We present reiteration formulae with limiting values __ΞΈ__ = 0 and __ΞΈ__ = 1 for a real interpolation method involving slowly varying functions. Applications to the Lorentz–Karamata spaces, the Fourier transform and the Riesz potential are given. In particular, our results yield improve

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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.