|
|
The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
|
||||||||||||
|
|
||||||||||||
Paper Title:
A Different Proof for the non-Existence of Hilbert-Schmidt Hankel Operators with
Anti-Holomorphic Symbols on the Bergman Space
Author(s):
Georg Schneider
Universität Wien, Brünnerstr. 72 A-1210 Wien,
Austria.
georg.schneider@univie.ac.at
URL: http://www.univie.ac.at/bwl/cont/mitarbeiter/schneider.htm
Abstract:
We show that there are no (non-trivial) Hilbert-Schmidt Hankel
operators with anti-holomorphic symbols on the Bergman space of
the unit-ball B2(Bl) for l≥2. The result dates back to
[6]. However, we give a different proof. The methodology can
be easily applied to other more general settings. Especially, as
indicated in the section containing generalizations, the new
methodology allows to prove some robustness results for existing
ones.
Full Text PDF:
