Proceedings of the American Mathematical Society

A geometrical version of Hardy's inequality for $\stackrel{\circ}{\textrm{W}}{}^{1,p}(\Omega)$

Author(s): Jesper Tidblom
Journal: Proc. Amer. Math. Soc. 132 (2004), 2265-2271.
MSC (2000): Primary 35P99; Secondary 35P20, 47A75, 47B25
Posted: March 25, 2004
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Abstract: The aim of this article is to prove a Hardy-type inequality, concerning functions in $\stackrel{\circ}{\textrm{W}}{}^{1,p}(\Omega)$ for some domain $\Omega \subset R^n$ , involving the volume of $\Omega$ and the distance to the boundary of $\Omega$ . The inequality is a generalization of a recently proved inequality by M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and A. Laptev (2002), which dealt with the special case

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