## On some integral operators on the unit polydisk and the unit ball.(English)Zbl 1149.47026

The authors prove boundedness theorems for some generalized Cesàro operators on various spaces of holomorphic functions in the unit polydisk or ball $$\mathbb B_n$$ in $$\mathbb C^n$$. Boundedness and compactness of some Riemann-Stieltjes type operators from $$H^\infty$$ and Bergman spaces to $$\alpha$$-Bloch spaces on $$\mathbb B_n$$ are investigated, too. The paper contains a wealth of material and a useful reference list of 51 items.

### MSC:

 47B38 Linear operators on function spaces (general) 46E15 Banach spaces of continuous, differentiable or analytic functions 47G10 Integral operators
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