About interpolation of subspaces of reaarangement invariant spaces generated by Rademacher system
Abstract
Description
The Rademacher series in rearrangement invariant function spaces "closed" to the space L_\infty 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.
15 pages
15 pages