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2016 Rademacher functions in Nakano spaces
Sergey Astashkin, Mieczysław Mastyło
Anal. PDE 9(1): 1-14 (2016). DOI: 10.2140/apde.2016.9.1

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 2.

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Sergey Astashkin. Mieczysław Mastyło. "Rademacher functions in Nakano spaces." Anal. PDE 9 (1) 1 - 14, 2016. https://doi.org/10.2140/apde.2016.9.1

Information

Received: 27 March 2015; Revised: 24 July 2015; Accepted: 7 September 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1347.46009
MathSciNet: MR3461299
Digital Object Identifier: 10.2140/apde.2016.9.1

Subjects:
Primary: 46E30
Secondary: 46B20 , 46B42

Keywords: Nakano spaces , Rademacher functions , symmetric spaces

Rights: Copyright © 2016 Mathematical Sciences Publishers

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