Characterizations of Q_p spaces in the unit ball of C~n

摘要

Let B denote the unit ball of C~n. For 0 < p < ∞, the holomorphic function spaces Q_p and Q_(p, 0) on the unit ball of C~n are defined asf ∈ Q_p ? under(sup, a ∈ B) under(∫, B) | over(?, ?) f (z) |~2 G~p (z, a) d λ (z) < ∞ andf ∈ Q_(p, 0) ? under(lim, | a | → 1) under(∫, B) | over(?, ?) f (z) |~2 G~p (z, a) d λ (z) = 0 . In this paper, we give some derivative-free, mixture and oscillation characterizations for Q_p and Q_(p, 0) spaces in the unit ball of C~n.