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Lacunary Series and Exponential Moments

Lacunary Series and Exponential Moments

In the present paper we prove the boundedness of second exponential moments for the suprema of norms of partial sums of random series in Banach spaces, Sidon lacunary series on a compact Abelian group with coefficients in a Banach space, and for random lacunary series with similar coefficients.Exponential moments related …