English

Hilbert-Schmidt Hankel Operators with Anti-holomorphic Symbols on Complex Ellipsoids

Complex Variables 2013-05-31 v1 Functional Analysis

Abstract

On a complex ellipsoid in Cn\mathbb{C}^n, we show that there is no nonzero Hankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt.

Keywords

Cite

@article{arxiv.1305.7150,
  title  = {Hilbert-Schmidt Hankel Operators with Anti-holomorphic Symbols on Complex Ellipsoids},
  author = {Mehmet Çelik and Yunus E. Zeytuncu},
  journal= {arXiv preprint arXiv:1305.7150},
  year   = {2013}
}