 98182 P.G.Dodds, T.K.Dodds, S.V.Ferleger and F.A.Sukochev
 KHINTCHINE AND PALEY INEQUALITIES FOR ${\Bbb D}$SYSTEMS
IN SYMMETRIC OPERATOR SPACES
(78K, TeX)
Mar 11, 98

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Abstract. We consider Khintchine inequality in symmetric operator spaces
in the situation when the sequence of Rademacher functions is replaced by
sequence of eigenvectors of some
representation of dyadic group ${\Bbb D}$ corresponding to lacunary
sequence of characters from $\hat {\Bbb D}$.
The same approach we apply to study of Paley inequality in noncommutative
Hardy spaces and its dyadic generalizations.
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