International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 7, Pages 451-465
doi:10.1155/S0161171201010663
About interpolation of subspaces of rearrangement
invariant spaces generated by Rademacher system
Department of Mathematics, Samara Street University, Academic Pavlov Street, 1, Samara 443011, Russia
Received 1 August 2000; Revised 27 November 2000
Copyright © 2001 Sergey V. Astashkin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The Rademacher series in rearrangement invariant function spaces “close” to the space L∞ are considered. In terms of
interpolation theory of operators, a correspondence between such
spaces and spaces of coefficients generated by them is stated. It
is proved that this correspondence is one-to-one. Some examples
and applications are presented.