On square root domains for non-self-adjoint Sturm-Liouville operators

Fritz Gesztesy, Steve Hofmann, Roger Nichols

We determine square root domains for non-self-adjoint Sturm--Liouville operators of the type $$L_{p,q,r,s}=-\frac{d}{dx}p\frac{d}{dx}+r\frac{d}{dx}-\frac{d}{dx}s+q$$ in $L^2((…