Limiting absorption principle on <i>L</i> <i>p</i>-spaces and scattering theory
Limiting absorption principle on <i>L</i> <i>p</i>-spaces and scattering theory
In this paper, we study the mapping property from Lp to Lq of the resolvent of the Fourier multipliers and scattering theory of generalized Schrödinger operators. Although the first half of the subject was studied by Cuenin [J. Funct. Anal. 272(7), 2987–3018 (2017)], we extend their result away from the …