Composition Operators between Bloch-Type Spaces in the Polydisc

摘要

We characterize those holomorphic mappings Φ from the polydisc D~n in C~n to itself for which the induced composition operators C_Φ is bounded (or compact) from the Bloch-type space B_ω to B_μ (respectively, from the little Bloch-type space B_ω,0 to B_μ,0), where ω is a normal function on [0,1) and μ is a nonnegative function on [0,1) with μ(t_n) ＞ 0 for some sequence {t_n}_(n=1)~∞ is contained in [0,1) satisfying lim_n → ∞ t_n = 1.