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Rademacher multiplicator spaces equal to  |
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| Authors: | Serguei V. Astashkin Guillermo P. Curbera |
| Affiliation: | Department of Mathematics and Mechanics, Samara State University, ul. Akad. Pavlova 1, 443011 Samara, Russia ; Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain |
| Abstract: | Let  be a rearrangement invariant function space on [0,1]. We consider the Rademacher multiplicator space  of measurable functions  such that  for every a.e. converging series  , where  are the Rademacher functions. We characterize the situation when  . We also discuss the behaviour of partial sums and tails of Rademacher series in function spaces. |
| Keywords: | Rademacher functions rearrangement invariant space |
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