Local Khintchine inequality in rearrangement invariant spaces

被引：4

作者：

Astashkin, Serguey V. ^{[1
]}

Curbera, Guillermo P. ^{[2
]}

机构：

[1] Samara State Univ, Dept Math & Mech, Samara 443011, Russia

[2] Univ Seville, Facultad Matemat, E-41080 Seville, Spain

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2015年 / 194卷 / 03期

关键词：

Rademacher functions; Rearrangement invariant space; Khintchine inequality; RADEMACHER MULTIPLICATOR SPACES; SERIES;

D O I：

10.1007/s10231-013-0391-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the local version of Khintchine inequality holds in an rearrangement invariant function space on [0,1] if and only if the lower dilation index of the fundamental function of is positive. A further characterization is given, based on the uniform behavior in of the dilations of the logarithmic function. For this, a study of the space of functions acting as multiplication operators in for the tails of Rademacher series is carried out.

引用

页码：619 / 643

页数：25

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