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

Sergey V. Astashkin

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-15

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:782598

DOI: 10.1155/S0161171201010663

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