TITLE:
QK Type Spaces and Bloch Type Spaces on the Unit Ball
AUTHORS:
Rong Hu
KEYWORDS:
Unit Ball, QK, 0(p, q), B0(q+n+1)/p Space, Equivalence Relation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.9 No.10,
October
14,
2019
ABSTRACT: Different function spaces have certain inclusion or equivalence relations. In this paper, the author introduces a class of Möbius-invariant Banach spaces QK,0 (p,q) of analytic function on the unit ball of Cn, where K:(0,∞)→[0,∞) are non-decreasing functions and 0P∞, p/2-n-1q∞, studies the inclusion relations between QK,0 (p,q) and a class of B0α spaces which was known before, and concludes that QK,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 QK,0 (p,q)=
B0(q+n+1)/p.