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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2015 Volume 49, Issue 2, Pages 82–85 (Mi faa3181)
This article is cited in 6 papers

Brief communications

Can Yano's extrapolation theorem be strengthened?

E. I. Berezhnoi

P. G. Demidov Yaroslavl State University, Faculty of Mathematics

Abstract: It is shown that an extrapolation theorem for $L^{p}$ proposed by the author and a Yano-type theorem implied by it cannot be improved.

Keywords: extrapolation theorem, Lebesgue space, Lorentz space.

UDC: 513.88

Received: 24.05.2013

DOI: 10.4213/faa3181


 English version: Functional Analysis and Its Applications, 2015, 49:2, 145–147

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