For each , the -Bloch space consists of all analytic functions on the unit disk satisfying . We consider the following complex integral operators, namely the -Cesàro operator
and its generalization, acting from the -Bloch space to itself, where and . We investigate the boundedness and compactness of the -Cesàro operators and their generalizations. Also we calculate the essential norm and spectrum of these operators.
"Properties of $\beta$-Cesàro operators on $\alpha$-Bloch space." Rocky Mountain J. Math. 50 (5) 1723 - 1746, October 2020. https://doi.org/10.1216/rmj.2020.50.1723