We characterize those positive measure $\mu$'s on the higher dimensional unit ball such that "two-weighted inequalities" hold for holomorphic functions and their derivatives. Characterizations are given in terms of the Carleson measure conditions. The results of this paper also distinguish between the fractional and the tangential derivatives.
"Two-weighted inequalities for the derivatives of holomorphic functions and Carleson measures on the unit ball." Nagoya Math. J. 158 107 - 131, 2000.