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

S. V. Astashkin
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Abstract

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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S. V. Astashkin. 2000-07-19. About interpolation of subspaces of reaarangement invariant spaces generated by Rademacher system. https://arxiv.org/abs/math/0007117

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