2 citations · 3 across the 4 of their papers we have counts for
4 papers
One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators
Alexei Ilyin, Ari Laptev, Michael Loss +1
In this paper we prove refined first-order interpolation inequalities for periodic functions and give applications to various refinements of the Carlson--Landau-type inequalities a…
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…
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…
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…