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Some variants of the Hardy inequality

APPLICABLE ANALYSIS(2022)

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Abstract
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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Key words
B,R,Vainberg,Hardy inequality,affine energy,Sobolev-Lorentz spaces,best constant
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