About interpolation of subspaces of rearrangement
invariant spaces generated by Rademacher system
Sergey V. Astashkin1
Received01 Aug 2000
Revised27 Nov 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.