01-483 Jesper Tidblom

A geometrical version of Hardy's inequality for W^{1,p}_0(D) (34K, LaTeX 2e) Dec 20, 01

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Abstract. The aim of this article is to prove a Hardy type inequality, concerning functions in W^{1,p}_0(D) for some domain D in R^n, involving the volume of D and the distance to the boundary of D. The inequality is a generalization of a recently proved inequality by M.Hoffmann--Ostenhof, T.Hoffmann--Ostenhof and A.Laptev, which dealt with the special case p=2.

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