Fefferman--Stein type inequalities via area and maximal functions for Schrödinger operators with applications

In this paper, we establish a Fefferman--Stein inequality in terms of area function and non-tangential maximal function associated with the Schrödinger operator $\mathcal{L} = -Δ+ V$ on stratified Lie groups $\mathcal G$, where $Δ$ denotes the sub-Laplacian on $\mathcal G$ and $V$ is a nonnegative l