%0 Journal Article
%T A unified approach to improved L^p Hardy inequalities with best constants
%A G. Barbatis
%A S. Filippas
%A A. Tertikas
%J Mathematics
%D 2003
%I arXiv
%X We present a unified approach to improved $L^p$ Hardy inequalities in $\R^N$. We consider Hardy potentials that involve either the distance from a point, or the distance from the boundary, or even the intermediate case where distance is taken from a surface of codimension $1<k<N$. In our main result we add to the right hand side of the classical Hardy inequality, a weighted $L^p$ norm with optimal weight and best constant. We also prove non-homogeneous improved Hardy inequalities, where the right hand side involves weighted L^q norms, q \neq p.
%U http://arxiv.org/abs/math/0302326v1