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Sequences of Independent Functions in Rearrangement Invariant Spaces

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Abstract

We obtain some new estimates that show the extremality of the Rademacher system in the set of sequences of independent functions considered in rearrangement invariant spaces.

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Funding

The work was carried out in the framework of the Development Program of the Scientific and Educational Mathematical Center of the Volga Federal District (Agreement 075–02–2020–1488/1).

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Correspondence to S. V. Astashkin.

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Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 2, pp. 239–249. https://doi.org/10.33048/smzh.2021.62.201

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Astashkin, S.V. Sequences of Independent Functions in Rearrangement Invariant Spaces. Sib Math J 62, 189–198 (2021). https://doi.org/10.1134/S0037446621020014

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  • DOI: https://doi.org/10.1134/S0037446621020014

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