25 citations · 84 across the 16 of their papers we have counts for
4 papers · 1 filter
Lieb-Thirring-type inequalities for random Schrödinger operators with complex potentials
Jean-Claude Cuenin, Konstantin Merz
We review some results and proofs on eigenvalue bounds for random Schrödinger operators with complex-valued potentials. We also include new Schatten norm estimates for the resolven…
Subordinated Bessel heat kernels
Krzysztof Bogdan, Konstantin Merz
We prove new bounds for Bessel heat kernels and Bessel heat kernels subordinated by stable subordinators. In particular, we provide a 3G inequality in the subordinated case.
Ground state representation for the fractional Laplacian with Hardy potential in angular momentum channels
Krzysztof Bogdan, Konstantin Merz
Motivated by the study of relativistic atoms, we consider the Hardy operator acting on functions of the form in $L^2(\m…
On Sobolev norms involving Hardy operators in a half-space
Rupert L. Frank, Konstantin Merz
We consider Hardy operators on the half-space, that is, ordinary and fractional Schrödinger operators with potentials given by the appropriate power of the distance to the boundary…