Foxby-morphism and derived equivalences

For quasi-projective schemes X   over affine schemes Spec(A)Spec(A), resolving subcategories AA of Coh(X)Coh(X) were considered. The equivalences of derived categories were established, where Mgk(A)={F∈Coh(X):dimA⁡(F)<∞,grade(F)≥k} and DkDk denote the corresponding filtration of the derived category.