The weighted Hardy constant

Derek W. Robinson

Let $\Omega$ be a domain in $R^d$ and $d_{\Gamma }$ the Euclidean distance to the boundary $\Gamma$. We investigate whether the weighted Hardy inequality \[ \|d_Γ^{δ/2-1}φ\|_2\leq a_δ\,\|d_Γ^{δ/2}\,…