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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 4, Pages 881–890
DOI: https://doi.org/10.33048/smzh.2019.60.414 (Mi smj3122) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Characterization of the Orlicz spaces whose convergence is equivalent to convergence in measure on reflexive subspaces

S. I. Strakhov

S. P. Korolev Samara National Research University, Samara, Russia
Full-text PDF (491 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2019.60.414
Abstract: We obtain the necessary and sufficient conditions for convergence in measure to be equivalent to norm convergence on the reflexive subspaces of Orlicz spaces.
Keywords: rearrangement invariant space, reflexive subspace, Orlicz space, Orlicz–Matuszewska indices, convergence in measure.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00414_a
The author was supported by the Russian Foundation for Basic Research (Grant 18–01–00414–a).
Received: 09.10.2018
Revised: 06.02.2019
Accepted: 12.03.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 4, Pages 690–698
DOI: https://doi.org/10.1134/S0037446619040141
Bibliographic databases:
Document Type: Article
UDC: 517.982.22
Language: Russian
Citation: S. I. Strakhov, “Characterization of the Orlicz spaces whose convergence is equivalent to convergence in measure on reflexive subspaces”, Sibirsk. Mat. Zh., 60:4 (2019), 881–890; Siberian Math. J., 60:4 (2019), 690–698
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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