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arXiv · 1302.4432

An optimal Hardy-Morrey inequality

Georgios Psaradakis
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Abstract

In this work we improve the sharp Hardy inequality in the case $p>n$ by adding an optimal weighted Hoelder semi-norm. To achieve this we first obtain a local improvement. We also obtain a refinement of both the Sobolev inequality for $p>n$ and the Hardy inequality, the latter having the best constant.

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Georgios Psaradakis. 2013-02-16. An optimal Hardy-Morrey inequality. https://doi.org/10.1007/s00526-011-0464-1

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