This article is cited in 8 papers

Spaces defined by the Paley function

S. V. Astashkin^a, E. M. Semenov<sup>b

a</sup> Samara State University
^b Voronezh State University, Faculty of Mathematics

Abstract: The paper is concerned with Haar and Rademacher series in symmetric spaces, and also with the properties of spaces defined by the Paley function. In particular, the symmetric hull of the space of functions with uniformly bounded Paley function is found.
Bibliography: 27 titles.

Keywords: symmetric space, Haar functions, Rademacher functions, Paley function, real interpolation method.

UDC: 517.982.22+517.983.23

MSC: 46E30, 46B42, 46A45

Received: 25.07.2012 and 15.12.2012

DOI: 10.4213/sm8159

 English version: Sbornik: Mathematics, 2013, 204:7, 937–957

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