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arXiv · 1805.10935

Optimal non-homogeneous improvements for the series expansion of Hardy's inequality

Konstantinos T. Gkikas·Georgios Psaradakis
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Abstract

We consider the series expansion of the $L^p$-Hardy inequality of \cite{BFT2}, in the particular case where the distance is taken from an interior point of a bounded domain in $\mathbb{R}^n$ and $1 n$ we improve it by adding as a remainder term the optimally weighted H\"{o}lder seminorm, extending the Hardy-Morrey inequality of \cite{Ps} to the series case.

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Konstantinos T. Gkikas, Georgios Psaradakis. 2018-05-28. Optimal non-homogeneous improvements for the series expansion of Hardy's inequality. https://arxiv.org/abs/1805.10935

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