Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains
Complex Variables
2015-11-17 v1
Abstract
On complete pseudoconvex Reinhardt domains in , we show that there is no nonzero Hankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt. We also present examples of unbounded non-pseudoconvex domains that admit nonzero Hilbert-Schmidt Hankel operators with anti-holomorphic symbols.
Keywords
Cite
@article{arxiv.1511.04799,
title = {Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains},
author = {Mehmet Celik and Yunus E. Zeytuncu},
journal= {arXiv preprint arXiv:1511.04799},
year = {2015}
}
Comments
To appear in Czechoslovak Mathematical Journal