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
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.