Resolvent estimates for Schrodinger operators with potentials in Lebesgue spaces

摘要

We prove resolvent estimates in the Euclidean setting for Schrodinger operators with potentials in Lebesgue spaces: -Delta + V. The (L-2, L-p) estimates were already obtained by Blair-Sogge-Sire, but we extend their result to other (L-p, L-q) estimates using their idea and the result and method of Kwon-Lee on non-uniform resolvent estimates in the Euclidean space. (C) 2020 Elsevier Inc. All rights reserved.