Composition operators between Bloch-type spaces in the polydisc

摘要

We characterize those holomorphic mappings (ψ) from the polydisc D~n in C~n to itself for which the induced composition operators C_(ψ) are 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}∞=1 is contained in [0,1) satisfying lim_(n→∞) t_n = 1.