We consider the semi-relativistic Hartree type equation with
nonlocal nonlinearity F(u)=λ(∣x∣−γ∗∣u∣2)u,0<γ<n,n≥1. In \cite{chooz2}, the global well-posedness
(GWP) was shown for the value of γ∈(0,n+12n),n≥2 with large data and γ∈(2,n),n≥3 with small
data. In this paper, we extend the previous GWP result to the case
for γ∈(1,n2n−1),n≥2 with radially symmetric
large data. Solutions in a weighted Sobolev space are also studied