New equivalent conditions for Hardy-type inequalities

New equivalent conditions for Hardy-type inequalities

We consider a Hardy-type inequality with Oinarov's kernel in weighted Lebesgue spaces. We give new equivalent conditions for satisfying the inequality, and provide lower and upper estimates for its best constant. The findings are crucial in the study of oscillation and non-oscillation propertie...

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Bibliographic Details
Main Authors: Alois Kufner, Komil Kuliev, Gulchehra Kulieva, Mohlaroyim Eshimova
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2024-04-01
Series:Mathematica Bohemica
Subjects:
integral operator
norm
weight function
lebesgue space
hardy-type inequality
kernel
Online Access:https://mb.math.cas.cz/full/149/1/mb149_1_6.pdf

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