Lacunary Walsh series in rearrangement invariant spaces

被引:0
|
作者
Carrillo-Alanis, Javier [1 ]
机构
[1] Univ Seville, Fac Matemat, Dept Anal Matemat, C Tarfia S-N, E-41012 Seville, Spain
来源
INDAGATIONES MATHEMATICAE-NEW SERIES | 2019年 / 30卷 / 06期
关键词
Rearrangement invariant spaces; Rademacher functions; Walsh functions;
D O I
10.1016/j.indag.2019.07.006
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the classical results by Rodin and Semenov and by Lindenstrauss and Tzafriri on the subspace generated by the Rademacher system in rearrangement invariant spaces also hold for lacunary Walsh series. (C) 2019 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
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页码:988 / 1005
页数:18
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