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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010663 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558499957047296 |
|---|---|
| author | Sergey V. Astashkin |
| author_facet | Sergey V. Astashkin |
| author_sort | Sergey V. Astashkin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1086791894bf46949d1fa9ca5638f666 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1086791894bf46949d1fa9ca5638f6662025-02-03T01:32:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125745146510.1155/S0161171201010663About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher systemSergey V. Astashkin0Department of Mathematics, Samara Street University, Academic Pavlov Street, 1, Samara 443011, RussiaThe 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.http://dx.doi.org/10.1155/S0161171201010663 |
| spellingShingle | Sergey V. Astashkin About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system International Journal of Mathematics and Mathematical Sciences |
| title | About interpolation of subspaces of rearrangement
invariant spaces generated by Rademacher system |
| title_full | About interpolation of subspaces of rearrangement
invariant spaces generated by Rademacher system |
| title_fullStr | About interpolation of subspaces of rearrangement
invariant spaces generated by Rademacher system |
| title_full_unstemmed | About interpolation of subspaces of rearrangement
invariant spaces generated by Rademacher system |
| title_short | About interpolation of subspaces of rearrangement
invariant spaces generated by Rademacher system |
| title_sort | about interpolation of subspaces of rearrangement invariant spaces generated by rademacher system |
| url | http://dx.doi.org/10.1155/S0161171201010663 |
| work_keys_str_mv | AT sergeyvastashkin aboutinterpolationofsubspacesofrearrangementinvariantspacesgeneratedbyrademachersystem |