Metric aspects of the problem of ideals are studied. Let h be a function in the class H^∞(D[double-struck]) and f a vector-valued function in the class H^∞(D[double-struck]E), i.e., f takes values in some lattice of sequences E. Suppose that |h(z)| ≤ [norm of matrix]f(z)[norm of matrix]α E ≤ 1 for some parameter a. The task is to find a function g in H^∞(D[double-struck];E'), where E' is the order dual of E, such that Σf_jg_j = h. Also it is necessary to control the value of [norm of matrix]g[norm of matrix] H^∞(E'). The classical case with E = l² was investigated by V. A. Tolokonnikov in 1981. Recently, the author managed to obtain a similar result for the space E = l¹. In this paper it is shown that the problem of ideals can be solved for any q-concave Banach lattice E with finite q; in particular, E = l^p with p ∈ [1,∞) fits.