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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 239–249
DOI: https://doi.org/10.33048/smzh.2021.62.201 (Mi smj7553) 		 
Sequences of independent functions in rearrangement invariant spaces

S. V. Astashkin

Samara National Research University, Samara, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.201
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1488/1
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).
Received: 25.09.2020
Revised: 07.12.2020
Accepted: 22.01.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 189–198
DOI: https://doi.org/10.1134/S0037446621020014
Bibliographic databases:
Document Type: Article
UDC: 517.982.22
MSC: 35R30
Language: Russian
Citation: S. V. Astashkin, “Sequences of independent functions in rearrangement invariant spaces”, Sibirsk. Mat. Zh., 62:2 (2021), 239–249; Siberian Math. J., 62:2 (2021), 189–198
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    		Сибирский математический журнал Siberian Mathematical Journal
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