International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 1, Pages 19-31
Finite-rank intermediate Hankel operators on the Bergman space
1Department of Mathematics, Hokkaido University, Sapporo 060, Japan
2Mathematical and Scientiﬁc Subjects, Asahikawa National College of Technology, Asahikawa 071, Japan
Received 11 January 1998
Copyright © 2001 Takahiko Nakazi and Tomoko Osawa. 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.
Let be the Lebesgue space on the
open unit disc and let
be the Bergman
space. Let be the orthogonal projection of onto and let be the orthogonal projection onto . Then . The big Hankel operator and the small
Hankel operator on are defined as: for in , and . In this paper, the finite-rank intermediate
Hankel operators between and are studied. We are working on the
more general space, that is, the weighted Bergman space.