Remarks on weighted mixed norm spaces

We find conditions on a measurable function rho : (0, 1] -> R+, which is bounded on compact sets, for the boundedness of the Bergman projection, the Berezin transform and the averaging operator to hold on weighted mixed norm spaces L(p, q, rho) consisting of measurable functions satisfying (integral(1)(0) rho(1 - r)/1 - r (integral(2 pi)(0)vertical bar f(re(i theta))vertical bar(p) d theta/2 pi)(q/p)dr)(1/q) < infinity. Our results extend those known for L-p(D, (1 - vertical bar z vertical bar(2))(alpha)dA(z)) and mixed norm spaces L(p, q, alpha).