Composition Operators in Hyperbolic Bloch-Type and 𝐹(𝑝,𝑞,𝑠) Spaces

Table 1

General function family 𝐹(𝑝,𝑞,𝑠) and the classical function spaces.

𝑝	𝑞	𝑠	𝐹(𝑝,𝑞,𝑠)	𝐹0(𝑝,𝑞,𝑠)
(0,∞)	(−2,∞)	(1,∞)	ℬ^(𝑞+2)/𝑝	ℬ0^(𝑞+2)/𝑝
2	0	(0,∞)	𝑄𝑠	𝑄𝑠,0
2	0	1	BMOA	VMOA
2	1	0	𝐻^2	𝐻^2
[1,∞)	𝑝	0	𝐴^𝑝	𝐴^𝑝
2	(−1,∞)	0	𝒟𝑞	𝒟𝑞
(1,∞)	𝑝−2	0	𝐵𝑝	𝐵𝑝