On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spaces

被引：6

作者：

Bandaliyev, Rovshan ^{[1
,2
]}

Safarova, Kamala ^{[1
]}

机构：

[1] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

[2] Peoples Friendship Univ Russia, Moscow, Russia

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 50卷 / 05期

关键词：

Hausdorff operators of special kind; weighted Lebesgue spaces; monotone weight functions; BOUNDEDNESS;

D O I：

10.15672/hujms.805157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish necessary and sufficient conditions on monotone weight functions for the boundedness for Hausdorff operators of special kind in weighted Lebesgue spaces. In particular, we get similar results for important operators of harmonic analysis which are special cases of the Hausdorff operators. The weights are illustrated by examples at the end of the paper.

引用

页码：1334 / 1346

页数：13

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