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  1. 1. Improved Lp Hardy Inequalities

    Författare :Jesper Tidblom; Ari Laptev; Andrzej Szulkin; Achilles Tertikas; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; Hardy inequality; MATHEMATICS; MATEMATIK;

    Sammanfattning : Paper 1 : A geometrical version of Hardy's inequality for W_0^{1,p}(D).The aim of this article is to prove a Hardy-type inequality, concerning functions in W_0^{1,p}(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 previously proved inequality by M. and T. LÄS MER