Rademacher chaos in symmetric spaces

Details Rademacher chaos in symmetric spaces Rademacher chaos in symmetric spaces

2000-06-19

arxiv.org/abs/math/0006129v1

East J. on approx., V.4, No. 3 (1998), 311 -- 336

Mathematics

Functional Analysis

26 pages

Scientific paper

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.

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