98-182 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 non-commutative Hardy spaces and its dyadic generalizations.

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