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Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids. (English) Zbl 1288.47028
The main result of the paper under review is that, on the Bergman space $$A^2$$ on complex ellipsoids, a Hilbert-Schmidt Hankel operator with anti-analytic symbol must be the zero operator.

##### MSC:
 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 32A36 Bergman spaces of functions in several complex variables 47B10 Linear operators belonging to operator ideals (nuclear, $$p$$-summing, in the Schatten-von Neumann classes, etc.)
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##### References:
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