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

Yıl 2021, Cilt: 50 Sayı: 5, 1334 - 1346, 15.10.2021

Rovshan Bandaliyev , Kamala Safarova

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

Cited By: 3

Öz

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.

Anahtar Kelimeler

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

Destekleyen Kurum

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

Proje Numarası

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

Kaynakça

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