Rademacher chaos in symmetric spaces
Functional Analysis
2007-05-23 v1 Classical Analysis and ODEs
Abstract
Necessary and sufficient conditions for the equivalence of the Rademacher chaos to the canonical basis of l_2 and also for the complementability of the corresponding generated subspace are derived. In particular, we obtain the unimprovability of the exponential integrability of functions from this space.
Keywords
Cite
@article{arxiv.math/0006129,
title = {Rademacher chaos in symmetric spaces},
author = {S. V. Astashkin},
journal= {arXiv preprint arXiv:math/0006129},
year = {2007}
}
Comments
26 pages