About interpolation of subspaces of reaarangement invariant spaces generated by Rademacher system

Details About interpolation of subspaces of reaarangement invariant spaces generated by Rademacher system About interpolation of subspaces of reaarangement invariant spaces generated by Rademacher system

2000-07-19

arxiv.org/abs/math/0007117v1

Mathematics

Functional Analysis

15 pages

Scientific paper

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.

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