Bernstein inequality Hamiltonians with potential Sobolev spaces Besov spaces
Issue Date:
2014
Publisher:
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 23, No 1, (2014), 5p-24p
Abstract:
We consider 1-D Laplace operator with short range potential W(x) and prove the Bernstein inequality for this perturbed Laplacian. It is shown that non resonance assumption at zero and sufficiently fast decay of the potential at infinity guarantee that the Hamiltonian obeys the Bernstein inequality. 2000 Mathematics Subject Classification: 35P05, 42B25, 46E25, 42B15.
