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arXiv · 1901.08866

Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities

Andrei Velicu
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Abstract

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 proved, which in the particular case of root systems $A_{N-1}$ improve some well-known results.

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BibTeXRIS

Andrei Velicu. 2019-01-25. Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities. https://doi.org/10.1142/s0219199720500248

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