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

Sergey V. Astashkin

Department of Mathematics, Samara Street University, Academic Pavlov Street, 1, Samara 443011, Russia

Received 1 August 2000; Revised 27 November 2000

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.