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Hu, R. (2019) Relationship between Q_K(p,q) Spaces and Spaces B^α on the Unit Ball. Journal of BeiHua University.

has been cited by the following article:

• 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.