<i>Q_K</i> Type Spaces and Bloch Type Spaces on the Unit Ball

Abstract

Different function spaces have certain inclusion or equivalence relations. In this paper, the author introduces a class of M &#246; bius-invariant Banach spaces Q K , 0 (p,q) of analytic function on the unit ball of C n , where K :(0,∞)→[0,∞) are non-decreasing functions and 0 < P < ∞ , p/2 -n - 1 < q < ∞ , studies the inclusion relations between Q K , 0 (p,q) and a class of B 0 α spaces which was known before, and concludes that Q K , 0 (p,q) is a subspace of B 0 ( q+n+1)/p , and the sufficient and necessary condition on kernel function K ( r ) such that Q K , 0 (p,q) = B 0 ( q + n +1)/p .