Author(s)

Rong Hu

School of Mathematics, Sichuan University of Arts and Sciences, Dazhou, China.

Different function spaces have certain inclusion or equivalence relations. In this paper, the author introduces a class of Möbius-invariant Banach spaces Q_K,₀ (p,q) of analytic function on the unit ball of Cⁿ, 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 B₀^α spaces which was known before, and concludes that Q_K,₀ (p,q) is a subspace of B₀^(q+n+1)/p, and the sufficient and necessary condition on kernel function K(r) such that Q_K,₀ (p,q)= B₀^(q+n+1)/p.

Unit Ball, Q_K, ₀(p, q), B₀^(q+n+1)/p Space, Equivalence Relation

Hu, R. (2019) Q_K Type Spaces and Bloch Type Spaces on the Unit Ball. Advances in Pure Mathematics, 9, 857-862. doi: 10.4236/apm.2019.910042.