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math.AP2014★ 1 cited
Hardy inequalities with homogenuous weights
Thomas Hoffmann-Ostenhof, Ari Laptev
In this paper we obtain some sharp Hardy inequalities with weight functions that may admit singularities on the unit sphere. In order to prove the main results of the paper we use…
math.AP2014★ 2 cited
Hardy inequalities for p-Laplacians with Robin boundary conditions
Tomas Ekholm, Hynek Kovarik, Ari Laptev
In this paper we study the best constant in a Hardy inequality for the p-Laplace operator on convex domains with Robin boundary conditions. We show, in particular, that the best co…
math.AP2014
Sharp interpolation inequalities for discrete operators and applications
Alexei Ilyin, Ari Laptev, Sergey Zelik
We consider interpolation inequalities for imbeddings of the -sequence spaces over -dimensional lattices into the spaces written as interpolation inequality be…