Full paper in PDF:
$% D. E. Edmunds and M. Krbec, Variations on Yano’s Extrapolation Theorem, Rev. Mat. Complut. 18 (2005), no. 1, 111–118.%$

Variations on Yano’s Extrapolation Theorem

David E. EDMUNDS and Miroslav KRBEC
Department of Mathematics

University of Sussex
Brighton BN1 9RF UK

Institute of Mathematics

Academy of Sciences of the Czech Republic
Žitná 25
115 67 Prague 1 Czech Republic

Received: May 24, 2004
Accepted: June 22, 2004
ABSTRACT

We give very short and transparent proofs of extrapolation theorems of Yano type in the framework of Lorentz spaces. The decomposition technique developed in Edmunds-Krbec (2000) enables us to obtain known and new results in a unified manner.

Key words: extrapolation, Lebesgue space, Orlicz space, Zygmund space, Zygmund-Lorentz space.
2000 Mathematics Subject Classification:
Primary 46E30; Secondary 47A30, 47B37.