Remarks on L p L^{p} -limiting absorption principle of Schr?dinger operators and applications to spectral multiplier theorems

摘要

This paper comprises two parts. We first investigate an L p {L^{p}} -type of limiting absorption principle for Schr?dinger operators H = - Δ + V {H=-Delta+V} on ? n {mathbb{R}^{n}} ( n ≥ 3 {ngeq 3} ), i.e., we prove the ?-uniform L 2 ? ( n + 1 )