$L_p$-spectrum and Lieb-Thirring inequalities for Schrödinger operators on the hyperbolic plane

Abstract

This paper deals with the $L_p$-spectrum of Schrödinger 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.

References in corpus (3)

• Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
• Schrödinger operator with non-zero accumulation points of complex eigenvalues
• Estimates for eigenvalues of Schrödinger operators with complex-valued potentials

Cited by in corpus (1)

• The Sobolev Inequalities on Real Hyperbolic Spaces and Eigenvalue Bounds for Schrödinger Operators with Complex Potentials