Sequences of Independent Functions in Rearrangement Invariant Spaces

被引：0
作者：
S. V. Astashkin
机构：
[1] Samara National Research University,
来源：
Siberian Mathematical Journal | 2021年 / 62卷
关键词：
rearrangement invariant space; Rademacher functions; independent functions; Orlicz space; Luxemburg norm; 517.982.22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain some new estimates that show the extremality of the Rademacher system in the set of sequences of independent functions considered in rearrangement invariant spaces.
引用
收藏
页码：189 / 198
页数：9
相关论文
共 18 条
[1]  
Montgomery-Smith S(2000)Embeddings of rearrangement invariant spaces that are not strictly singular Positivity 4 397-404
[2]  
Semenov E(1997)Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities Trans. Amer. Math. Soc. 349 997-1027
[3]  
Figiel T(1979)Symmetric structures in Banach spaces Mem. Amer. Math. Soc. 19 1-298
[4]  
Hitchenko P(1971)Interpolation theorems for the pairs of spaces Trans. Amer. Math. Soc. 159 207-221
[5]  
Johnson WB(1973) and  Soviet Math. Dokl. 14 538-541
[6]  
Schechtman G(1966)Description of interpolation spaces of the pair Studia Math. 26 273-299
[7]  
Zinn J(1965) and some related problems Mat. Sb. 66 473-482
[8]  
Johnson WB(1996)Spaces between Math. Proc. Cambridge Philos. Soc. 119 91-101
[9]  
Maurey B(undefined) and undefined undefined undefined-undefined
[10]  
Schechtman G(undefined) and the theorem of Marcinkiewicz undefined undefined undefined-undefined
12