Rademacher functions in Nakano spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 10 Feb 2016 English Publisher:Mathematical Sciences PublishersJournal:Analysis & PDE, volume 9, pages 1-14 (issn: 2157-5045, eissn: 1948-206X,

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Authors: Astashkin, Sergey; Mastyło, Mieczysław;

doi: 10.2140/apde.2016.9.1

Rademacher functions in Nakano spaces

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Abstract

The closed span of Rademacher functions is investigated in Nakano spaces Lp(⋅) on [0,1] equipped with the Lebesgue measure. The main result of this paper states that under some conditions on distribution of the exponent function p the Rademacher functions form in Lp(⋅) a basic sequence equivalent to the unit vector basis in l2.

Related Organizations

Polish Academy of Learning
Poland
Polish Academy of Sciences
Poland
Institute of Mathematics
Poland
Adam Mickiewicz University in Poznań
Poland
Samara State Aerospace University
Russian Federation

Keywords

Nakano spaces, 46B20, 46B42, 46E30, Rademacher functions, symmetric spaces

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