07-56 W.D. Evans and Roger T. Lewis
Hardy and Rellich Inequalities with Remainders (325K, pdf) Mar 8, 07
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Abstract. In this paper our primary concern is with the establishment of weighted Hardy inequalities in \$L^p(\Omega)\$ and Rellich inequalities in \$L^2(\Omega)\$ depending upon the distance to the boundary of domains \$\Omega\subset \R^n\$ with a finite diameter \$D(\Omega)\$. Improved constants are presented in most cases.

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