Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 57, Number 1 (2013), 195-211.
Intertwining relations for Volterra operators on the Bergman space
On the Bergman space in the unit disk, we study the intertwining relation for Volterra type operators, whose intertwining operator is a composition operator. We also investigate the “compact” intertwining relations for Volterra type operators. As obvious consequences, the essential commutativity of Volterra type and composition operators are characterized. At the end of the paper, we find a new connection between the Bergman space and little Bloch space through this essential commutativity.
Illinois J. Math., Volume 57, Number 1 (2013), 195-211.
First available in Project Euclid: 23 June 2014
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Tong, Ce-Zhong; Zhou, Ze-Hua. Intertwining relations for Volterra operators on the Bergman space. Illinois J. Math. 57 (2013), no. 1, 195--211. doi:10.1215/ijm/1403534492. https://projecteuclid.org/euclid.ijm/1403534492