Cordes-Nirenberg type estimates for nonlocal parabolic equations

In this paper, we obtain Cordes-Nirenberg type estimates for nonlocal parabolic equations on the more flexible solution space $L_T^{\text{iy}}(L_{\text{om}}^1)$ than the classical solution space $\text{rB}({\text{BR}}_T^n)$ consisting of all bounded functions on ${\text{BR}}_T^n$.