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.

引用

页码：988 / 1005

页数：18

共 50 条

[1] LACUNARY WALSH-SERIES
LEVIZOV, SV
MATHEMATICAL NOTES, 1992, 51 (3-4) : 265 - 273
[2] SOME RESULTS ON LACUNARY WALSH SERIES
COURY, JE
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A309 - A309
[3] SOME RESULTS ON LACUNARY WALSH SERIES
COURY, J
PACIFIC JOURNAL OF MATHEMATICS, 1973, 45 (02) : 419 - 425
[4] SOME RESULTS ON LACUNARY WALSH SERIES
COURY, JE
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A590 - &
[5] Multiple rademacher series in rearrangement invariant spaces
S. V. Astashkin
Functional Analysis and Its Applications, 1999, 33 : 141 - 143
[6] Multiple Rademacher series in rearrangement invariant spaces
Astashkin, SV
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1999, 33 (02) : 141 - 143
[7] WEAKLY LACUNARY WALSH-SERIES
LEVIZOV, SV
MATHEMATICAL NOTES, 1987, 41 (5-6) : 458 - 466
[8] Local rearrangement invariant spaces and distribution of Rademacher series
Javier Carrillo-Alanís
Positivity, 2018, 22 : 63 - 81
[9] Local rearrangement invariant spaces and distribution of Rademacher series
Carrillo-Alanis, Javier
POSITIVITY, 2018, 22 (01) : 63 - 81
[10] On the convergence of lacunary Walsh-Fourier series
Do, Yen Q.
Lacey, Michael T.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2012, 44 : 241 - 254

← 1 2 3 4 5 →