International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 15, Article ID 86259, 17 pages
doi:10.1155/IJMMS/2006/86259
Riemann-Stieltjes operators between Bergman-type spaces and α-Bloch spaces
Songxiao Li
Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China
Abstract
We study the following integral operators: Jgf(z)=∫0zf(ξ)g′(ξ)dξ; Igf(z)=∫0zf′(ξ)g(ξ)dξ, where g is an analytic function on the open unit disk in the complex plane. The boundedness and compactness of Jg, Ig between the Bergman-type spaces and the α-Bloch spaces are investigated.