This article is cited in 1 paper

Fundamental function of Rademacher spaces

A. I. Novikova

Chair of Function Theory and Geometry, Voronezh State University, 1 Universitetskaya sq., Voronezh, 394006 Russia

Abstract: In this paper we study the norm of Rademacher sums for some class of rearrangement invariant spaces and find its asymptotic behavior with the growth of the number of summands.

Keywords: Rademacher space, rearrangement invariant space, Lorentz space, Marcinkiewicz space.

UDC: 517.984

Received: 19.09.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:2, 31–38

Bibliographic databases:

•