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 0<P<∞, p/2-n-1<q<∞, studies the inclusion relations between QK,0 (p,q)and a class of B0
References
[1]
Essén, M., Wulan, H. and Xiao, J. (2006) Several Function-Theoretic Characterizations of Möbius Invariant QK Spaces. Journal of Functional Analysis, 230, 78-115.
[2]
Pau, J. (2008) Bounded Möbius Invariant QK Spaces. Journal of Mathematical Analysis and Applications, 338, 1029-1042.
[3]
Li, S. and Wulan. H. (2009) Characterizations of Qp Spaces in the Unit Ball of Cn. Journal of Mathematical Analysis and Applications, 360, 689-696.
[4]
Wen, X. (2005) QK Spaces on the Unit Ball of Cn. Journal of Nanjing Normal University (Natural Science), 28, 21-26.
[5]
Wulan, H. and Zhou, J. (2006) QK Type Spaces of Analytic Functions. Scientific Horizon, 4, 73-84.
[6]
Wen, X. (2005) QK Spaces and Bloch-Type Spaces on the Unit Ball of Cn. Nanjing Normal University, Nanjing.
[7]
Hu, R. (2019) Relationship between QK(p,q) Spaces and Spaces Bα on the Unit Ball. Journal of BeiHua University.
[8]
Guo, J. and Liu, Y.-M. (2010) Composition Operators from B0 to QK and QK,0 Spaces. Chin. Quarterly Journal of Mathematics, 25, 86-91.
[9]
Zhou, N. (2017) Hypercyclicity of Weighted Composition Operators on the Little Bloch Space and Besov Space. Journal of Sichuan University, 54, 1131-1135.
[10]
Liu, J.F. and Xiao, J.B. (2019) Weighted Composition Operators from Generalized Weighted Bloch Spaces to QK(p,q) Spaces. Journal of Hangzhou Dianzi University, 39, 85-90.
[11]
Long, J.R. and Wu, P.C. (2011) Composition Operators from Bloch-Type Spaces to QK(p,q) Spaces. Journal of Jiangxi Normal University, 35, 286-291.
[12]
Zhu, K. (2004) Spaces of Holomorphic Functions in the Unit Ball. Springer-Verlag, New York.