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

Year 2021, Volume: 50 Issue: 5, 1334 - 1346, 15.10.2021

Rovshan Bandaliyev , Kamala Safarova

https://doi.org/10.15672/hujms.805157

Cited By: 3

Abstract

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.

Keywords

Hausdorff operators of special kind, weighted Lebesgue spaces, monotone weight functions

Supporting Institution

1st Azerbaijan-Russia Joint Grant Competition Grant N EIF-BGM-4-RFTF-1/2017-21/01/1-M08.

Project Number

Grant № EIF-BGM-4-RFTF-1/2017-21/01/1-M-08

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