Bounded weighted composition operators on the Bloch spaces. (English) Zbl 1153.32002
The boundedness and compactness of composition operators in the Bloch space in the complex plane are known. The paper under review concerns with the problem for several complex variables. By means of Bergman metric, the authors give characterizations of boundedness of weighted composition operators on the Bloch space of analytic functions of several complex variables in the unit ball.
Reviewer: Yuefei Wang (Beijing)
MSC:
32A18 | Bloch functions, normal functions of several complex variables |
47B33 | Linear composition operators |
30D45 | Normal functions of one complex variable, normal families |