|
This article is cited in 1 scientific paper (total in 1 paper)
RUC Bases and the Olevskii System
K. S. Kazariana, E. M. Semenovb a Universidad Autonoma de Madrid
b Voronezh State University
Abstract:
In this paper, we study the RUC-basis properties of the Olevskii system in rearrangement-invariant spaces. In particular, it is proved that the Olevskii system forms an RUC basis in $L_p[0,1]$ if and only if $2\le p<\infty$.
Received: 24.03.2003 Revised: 11.07.2003
Citation:
K. S. Kazarian, E. M. Semenov, “RUC Bases and the Olevskii System”, Mat. Zametki, 75:4 (2004), 566–579; Math. Notes, 75:4 (2004), 530–541
Linking options:
https://www.mathnet.ru/eng/mzm53https://doi.org/10.4213/mzm53 https://www.mathnet.ru/eng/mzm/v75/i4/p566
|
|