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

Abstract

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 present examples of unbounded non-pseudoconvex domains that admit nonzero Hilbert-Schmidt Hankel operators with anti-holomorphic symbols.

arXiv commentTo appear in Czechoslovak Mathematical Journal

Cited by in corpus (1)

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