Maximal inequalities and their applications to orthogonal and Hadamard matrices

被引：0

作者：

Giorgobiani, George ^{[1
]}

Kvaratskhelia, Vakhtang ^{[1
,2
]}

机构：

[1] Georgian Tech Univ, Muskhelishvili Inst Computat Math, Gr Peradze Str 4, GE-0159 Tbilisi, Georgia

[2] Sokhumi State Univ, A Politkovskaia Str 9, GE-0186 Tbilisi, Georgia

来源：

PERIODICA MATHEMATICA HUNGARICA | 2020年 / 81卷 / 01期

关键词：

Maximal inequalities; Signed vector sums; Permutation; Orthogonal matrices; Hadamard matrices; SERIES;

D O I：

10.1007/s10998-020-00314-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Maximal inequalities for the signed vector summands are established. Probabilistic estimations for the sets of appropriate signs are given. By use of the "transference technique" appropriate maximal inequalities are derived for the permutations. One application for orthogonal and Hadamard matrices is suggested.

引用

页码：88 / 97

页数：10

共 20 条

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