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On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions

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dc.contributor.authorAstashkin, Sergey V.
dc.contributor.institutionAstashkin, Sergey V., Samara National Research University, Samara, Russian Federation, Lomonosov Moscow State University, Moscow, Russian Federation, Moscow Center of Fundamental and Applied Mathematics, Moscow, Russian Federation, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.date.accessioned2025-10-05T15:01:02Z
dc.date.issued2023
dc.description.abstractAbstract: Subspaces of an Orlicz space L<inf>M</inf> generated by probabilistically independent copies of a function f \in {{L}_{M}} , \int_0^1 {f(t){\kern 1pt} dt} = 0 , are studied. In terms of dilations of f, we get a characterization of strongly embedded subspaces of this type and obtain conditions that guarantee that the unit ball of such a subspace has equi-absolutely continuous norms in L<inf>M</inf>. A class of Orlicz spaces such that, for all subspaces generated by independent identically distributed functions, these properties are equivalent and can be characterized by Matuszewska–Orlicz indices is determined. © 2023 Elsevier B.V., All rights reserved.
dc.identifier.doi10.1134/S1064562423700801
dc.identifier.endpage299
dc.identifier.issn10645624
dc.identifier.issn15318362
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85178457190
dc.identifier.startpage297
dc.identifier.urihttps://doi.org/10.1134/S1064562423700801
dc.identifier.urihttps://hdl.handle.net/20.500.14719/7896
dc.identifier.volume108
dc.language.isoen
dc.publisherPleiades Publishing
dc.relation.sourceDoklady Mathematics
dc.subject.authorkeywordsEqui-absolute Continuity Of Norms
dc.subject.authorkeywordsIndependent Functions
dc.subject.authorkeywordsMatuszewska–orlicz Indices
dc.subject.authorkeywordsOrlicz Function
dc.subject.authorkeywordsOrlicz Space
dc.subject.authorkeywordsStrongly Embedded Subspace
dc.titleOn Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions
dc.typeArticle
dcterms.referencesConvex Functions and Orlicz Spaces, (1961), Theory of Orlicz Spaces, (1991), Classical Banach Spaces I, (1977), Zygmund, Antoni, Trigonometric series, 1-2, pp. 1-756, (2015), Astashkin, Sergey V., Λ(p)-spaces, Journal of Functional Analysis, 266, 8, pp. 5174-5198, (2014), C R Acad Sci Paris Ser A B, (1967), Ann Sci Ecole Norm Sup, (1969), Seminaire Maurey Schwartz 1974 1975 Espaces L, (1975), Probab Math Statist, (1993), Independent Random Variables and Rearrangement Invariant Spaces, (1994)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id6603549839

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