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math.AP2017★ 5 cited
Hardy and Rellich inequalities on the complement of convex sets
Derek W. Robinson
We establish existence of weighted Hardy and Rellich inequalities on the spaces where $Ω= \Ri^d\backslash K$ with a closed convex subset of $\Ri^d$. Let …
math.AP2017★ 1 cited
Hardy inequalities, Rellich inequalities and local Dirichlet forms
Derek W. Robinson
First the Hardy and Rellich inequalities are defined for the submarkovian operator associated with a local Dirichlet form. Secondly, two general conditions are derived which are su…