P. G. Department of Mathematics, Utkal University, Vanivihar, Bhubaneswar, Orissa 751004, India
Copyright © 2009 Namita Das. 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 have shown that if the Toeplitz operator on the
Bergman space belongs to the Schatten class , then , where is the Berezin transform of , and is the normalized area measure on the open unit disk . Further, if then and . For certain
subclasses of , necessary and sufficient conditions characterizing
Schatten class Toeplitz operators are also obtained.