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Journal of Function Spaces and Applications
Volume 7 (2009), Issue 3, Pages 225-240
http://dx.doi.org/10.1155/2009/179381

Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces

Department of Mathematics, JiaYing University, 514015, Meizhou, GuangDong, China

Received 1 April 2008

Copyright © 2009 Hindawi Publishing Corporation. 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

Let φ be a holomorphic self-map and g be a fixed holomorphic function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=01f(φ(tz))g(tz)dtt from the generalized weighted Bergman space into the µ-Bloch space are studied in this paper.