L_p-spectrum and Lieb-Thirring inequalities for Schr\"odinger operators on the hyperbolic plane
classification
🧮 math.SP
math-phmath.MP
keywords
eigenvalueshyperbolicinequalitieslieb-thirringodingeroperatorsplaneschr
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This paper deals with the $L_p$-spectrum of Schr\"odinger operators on the hyperbolic plane. We establish Lieb-Thirring type inequalities for discrete eigenvalues and study their dependence on $p$. Some bounds on individual eigenvalues are derived as well.
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