%0 Journal Article
%T Refined geometric L^p Hardy inequalities
%A G. Barbatis
%A S. Filippas
%A A. Tertikas
%J Mathematics
%D 2003
%I arXiv
%X For a bounded convex domain \Omega in R^N we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of \Omega, the volume of $\Omega$, as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.
%U http://arxiv.org/abs/math/0302330v1