Mixed norm variable exponent Bergman space on the unit disc

We introduce and study the mixed norm variable order Bergman space A(q,p(.)) (D), 1 1 from inside the interval I = (0, 1). The situation is quite different in the cases p(1) 1, when A(2,p(.)) (D) = H-2(D) isometrically, and when this is not longer true