Weighted Bloch spaces and quadratic integrals

Let B ω ( B d ) denote the ω-weighted Bloch space in the unit ball B d of C d , d ⩾ 1 . We show that the quadratic integral ∫ x 1 ω 2 ( t ) t d t , 0 < x < 1 , governs the radial divergence and integral reverse estimates in B ω ( B d ) .