Let . A function is said to belong to (central bounded mean oscillation space), if
where is the integral mean of over the ball with center at the origin and radius . This space is a local version of the usual , and a dual space of a kind of Hardy space associated with the Herz space. The authors give a characterization of in terms of the central Carleson measure. Using this, they give some results on boundedness of several classes of general Littlewood-Paley operators.