Remarks on Some Higher Dimensional Hardy Inequalities
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Published:2023-01-17
Issue:
Volume:21
Page:2
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ISSN:2291-8639
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Container-title:International Journal of Analysis and Applications
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language:
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Short-container-title:Int. J. Anal. Appl.
Author:
Amjad Zraiqat,Iqbal Jebril,Laith Hawawsheh,Mohmammad Abudayah
Abstract
In this note, we give an elementary proof of Hardy inequality in higher dimensions introduced by Christ and Grafakos. The advantage of our approach is that it uses the one-dimensional Hardy inequality to obtain higher dimensional versions. We go further and get some well-known weighted estimates using the same approach.
Publisher
SCIK Publishing Corporation
Subject
Applied Mathematics,Geometry and Topology,Business and International Management,Analysis