International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2001 / Article

Open Access

Volume 25 |Article ID 782598 | https://doi.org/10.1155/S0161171201010663

Sergey V. Astashkin, "About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system", International Journal of Mathematics and Mathematical Sciences, vol. 25, Article ID 782598, 15 pages, 2001. https://doi.org/10.1155/S0161171201010663

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

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.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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