International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 19, Pages 1193-1213
Bergman spaces of temperature functions on a cylinder
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior Ciudad Universitaria, México 04510, D.F., Mexico
Received 19 April 2002
Copyright © 2003 Marcos López-García. 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.
We define the weighted Bergman space consisting of temperature functions on the cylinder and belonging to , where . For we construct a family of bounded projections of onto . We use this to get, for and , a duality , where depends on and