Refined geometric L^p Hardy inequalities
arXiv:math/0302330
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 , as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.
11 pages, to appear in Commun. Contemp. Math