科研之友
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摘要
Let Unbe the unit polydisk of C-n and phi a holomorphic self-map of U-n. H-infinity(U-n) and B-log(alpha)(U-n) denote the space of bounded holomorphic functions and the space of general weighted Bloch functions defined on U-n, respectively, where alpha>0. This paper gives some estimates of the norm and essential norm of the composition operator C-phi induced by phi from H-infinity(U-n) to B-log(alpha)(U-n). As applications, some characterizations of the boundedness and compactness of C-phi from H-infinity(U-n) to B-log(alpha)(U-n) are obtained. Moreover, we also characterize the weak compactness of the composition operator C phi
