Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities
Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities
In this paper we study various forms of the Hardy inequality for Dunkl operators, including the classical inequality, $L^p$ inequalities, an improved Hardy inequality, as well as the Rellich inequality and a special case of the Caffarelli-Kohn-Nirenberg inequality. As a consequence, one-dimensional many-particle Hardy inequalities for generalised root systems are …