$L^p$ eigenfunction bounds for fractional Schrödinger operators on manifolds

Xiaoqi Huang, Yannick Sire, Cheng Zhang

This paper is dedicated to $L^p$ bounds on eigenfunctions of a Schödinger-type operator $(-{\Delta }_g{)}^{\alpha /2}+V$ on closed Riemannian manifolds for critically singular potentials $V$. The…