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Series expansion for L^p Hardy inequalities

G. Barbatis·S. Filippas·A. Tertikas
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Abstract

We consider a general class of sharp $L^p$ Hardy inequalities in $\R^N$ involving distance from a surface of general codimension $1\leq k\leq N$. We show that we can succesively improve them by adding to the right hand side a lower order term with optimal weight and best constant. This leads to an infinite series improvement of $L^p$ Hardy inequalities.

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G. Barbatis, S. Filippas, A. Tertikas. 2003-02-26. Series expansion for L^p Hardy inequalities. https://arxiv.org/abs/math/0302327

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