Geodesic
Hardy type inequalities with logarithmic and power weights for a special family of non-convex domains
Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 43-55

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In the present work we obtain variational Hardy type inequalities with power and logarithmic weights which are generalizations of the corresponding inequalities given earlier in the papers by M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, A. Laptev, and J. Tidblom. We formulate and prove inequalities for arbitrary domains, and then we substantially simplify them for the class of convex domains and a special family of non-convex domains.
Keywords: Hardy type inequalities, regular domains, distance function, iteration of logarithms.
Mots-clés : convex domains 
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     title = {Hardy type inequalities with logarithmic  and power weights for a special family  of non-convex domains},
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R. G. Nasibullin; A. M. Tukhvatullina. Hardy type inequalities with logarithmic  and power weights for a special family  of non-convex domains. Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 43-55. http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a4/