Conjugate Transforms on Dyadic Group

被引：0

作者：

Goginava, U. ^{[1
]}

Saatashvili, A. ^{[2
]}

机构：

[1] United Arab Emirates Univ, Al Ain, U Arab Emirates

[2] MIT, Cambridge, MA 02139 USA

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2021年 / 56卷 / 01期

关键词：

conjugate Walsh transform; Martingale transform; convergence in norm; WALSH; INEQUALITY; SERIES;

D O I：

10.3103/S1068362321010027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the properties of the Lebesgue constant of the conjugate trans- forms. For conjugate Fejer means we will find necessary and sufficient condition on t for which the estimation E vertical bar(sigma) over tilde ((t))(n)f vertical bar <= cE vertical bar f vertical bar holds. We also prove that for dyadic irrational t, L log L is the maximal Orlicz space for which the estimation E vertical bar(sigma) over tilde ((t))(n)f vertical bar <= c(1) +c(2)E(vertical bar f vertical bar log(+) vertical bar f vertical bar) is valid.

引用

页码：9 / 22

页数：14

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