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Fundamental function of the Rademacher spaces

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Abstract

In this paper we study the norm of the Rademacher sums for some class of rearrangement invariant spaces and find its asymptotic behavior with the growth of the number of summands.

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Authors and Affiliations

  1. Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia

    A. I. Novikova

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  1. A. I. Novikova
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Correspondence to A. I. Novikova.

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Original Russian Text © A.I. Novikova, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 2, pp. 38–46.

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Novikova, A.I. Fundamental function of the Rademacher spaces. Russ Math. 58, 31–38 (2014). https://doi.org/10.3103/S1066369X14020054

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  • DOI: https://doi.org/10.3103/S1066369X14020054

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