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math.AP2023
Hardy and Sobolev inequalities on antisymmetric functions
Thomas Hoffmann-Ostenhof, Ari Laptev, Il'ya Shcherbakov
We obtain sharp Hardy inequalities on antisymmetric functions where antisymmetry is understood for multi-dimensional particles. Partially it is an extension of the previously publi…
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…