Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complete pseudoconvex Reinhardt domains

Mehmet Celik, Yunus E. Zeytuncu

On complete pseudoconvex Reinhardt domains in ${\mathbb{C}}^2$, we show that there is no nonzero Hankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt. We also pres…