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math.SP2026
Lieb-Thirring inequalities for the Dirac operator on spheres
Uwe Kähler, André Pedroso Kowacs, Michael Ruzhansky
In this paper, we obtain bounds for the best constants in two inequalities which can be seen as analogues of the Lieb-Thirring inequality, but with the Dirac operator, on the s…
math.SP2024
Lieb-Thirring inequalities on the spheres and
André Pedroso Kowacs, Michael Ruzhansky
In this paper, we obtain new upper bounds for the Lieb-Thirring inequality on the spheres of any dimension greater than . As far as we have checked, our results improve previous…