设φ(z)=(φ1(z),…,φ_n(z))是D~n到自身的一个全纯映射,ψ(z)是D~n上的全纯函数,其中D~n是C~n中的单位多圆柱.研究了单位多圆柱上Bloch型空阊之间的加权复合算子ψC_φ的本性范数,并给出了其上下界估计.
Letφ(z)=(φ1(z),…,φn(z)) be a holomorphic self-map of Dn andφ(z) a holomorphic function on Dn,where Dn is the unit polydisc of Cn.The authors investigate the essential norms of the weighted composition operatorφCφ between Bloch-type spaces in the unit polydisc,and gives the lower and upper estimates of the essential norms.