International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 86259, 17 pages
doi:10.1155/IJMMS/2006/86259
Riemann-Stieltjes operators between Bergman-type spaces and
α-Bloch spaces
1Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China
2Department of Mathematics, Jiaying University, Meizhou 514015, Guangdong, China
Received 8 December 2005; Revised 11 May 2006; Accepted 28 May 2006
Copyright © 2006 Songxiao Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.