Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities
2020 ◽
pp. 2050024
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Keyword(s):
In this paper, we study various forms of the Hardy inequality for Dunkl operators, including the classical inequality, [Formula: see text] 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 generalized root systems are proved, which in the particular case of root systems [Formula: see text] improve some well-known results.
2019 ◽
Vol 150
(6)
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pp. 2952-2981
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2011 ◽
Vol 59
(2)
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pp. 133-149
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Keyword(s):
2019 ◽
Vol 150
(4)
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pp. 1699-1736
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Keyword(s):