Some variants of the Hardy inequality

We study an affine version of the Hardy inequality which is truly stronger than the usual Hardy inequality. We also set up a sharp version of the Hardy inequality under Sobolev-Lorentz norm.

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Bibliographic Details
Published inApplicable analysis Vol. 101; no. 8; pp. 2878 - 2885
Main Author Duy, Nguyen Tuan
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 24.05.2022
Taylor & Francis Ltd
Subjects
affine energy
B. R. Vainberg
best constant
Hardy inequality
Inequality
Primary 26D10
Sobolev-Lorentz spaces
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Summary:We study an affine version of the Hardy inequality which is truly stronger than the usual Hardy inequality. We also set up a sharp version of the Hardy inequality under Sobolev-Lorentz norm.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2020.1828370