Hilbert-Schmidt Hankel operators over semi-Reinhardt domains

2016/04/24 by Beberok, Tomasz, Gogus, Nihat Gokhan
#32A36 #47B35 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.07059

Abstract

Let Ω be an arbitrary bounded semi-Reinhardt domain in ℂ^m+n. We show that for m ≥ 2, if a Hankel operator with an anti-holomorphic symbol is Hilbert-Schmidt on the Bergman space L_a²(Ω), then it must equal zero. This fact has previously been proved for Reinhardt domains.

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