Hilbert-Schmidt Hankel operators on the Bergman space

Zhu, Ke He

doi:10.1090/S0002-9939-1990-1013987-7

Hilbert-Schmidt Hankel operators on the Bergman space
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Proc. Amer. Math. Soc. 109 (1990), 721-730 Request permission

Abstract:

We show that there are no nonzero Hilbert-Schmidt Hankel operators on the Bergman space of the open unit ball in ${{\mathbf {C}}^n}$ with antiholomorphic symbols when $n \geq 2$.

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