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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2021 Volume 62, Number 2, Pages 239–249 (Mi smj7553)
Sequences of independent functions in rearrangement invariant spaces

S. V. Astashkin

Samara National Research University, Samara, Russia

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.

Keywords: rearrangement invariant space, Rademacher functions, independent functions, Orlicz space, Luxemburg norm.

UDC: 517.982.22

MSC: 35R30

Received: 25.09.2020
Revised: 07.12.2020
Accepted: 22.01.2021

DOI: 10.33048/smzh.2021.62.201


 English version: Siberian Mathematical Journal, 2021, 62:2, 189–198

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© Steklov Math. Inst. of RAS, 2025