Inner functions in Q_K type spaces

摘要

Inner functions in Q_K(p,q) are studied, provided K satisfies certain regularity conditions. In particular, it is shown that the only inner functions in Q_K (p, p - 2), p ≥ 1, are precisely the Blaschke products whose zeros {z_n} satisfy sup_(a∈D) ΣK(1 -|ψ_a(z_n|~2) < ∞.