Refined geometric L^p Hardy inequalities

G. Barbatis; S. Filippas; A. Tertikas

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Refined geometric L^p Hardy inequalities

G. Barbatis·S. Filippas·A. Tertikas

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Abstract

For a bounded convex domain Ωin R^N we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of Ω, the volume of $Ω$, as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.

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G. Barbatis, S. Filippas, A. Tertikas. 2003-02-26. Refined geometric L^p Hardy inequalities. https://arxiv.org/abs/math/0302330

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