About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010663 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |