Abstract
In this paper, we obtain several sufficient and necessary conditions for a finite sum of Toeplitz products with form $\sum_{m=1}^{M}T_{f_{m}}T_{g_{m}}$ on the Hardy space over the polydisk to be zero. The methods used in this note are Berezin transform and the essential fiber dimension.
Citation
Tao Yu. "Sum of Toeplitz products on the Hardy space over the polydisk." Illinois J. Math. 61 (1-2) 225 - 241, Spring and Summer 2017. https://doi.org/10.1215/ijm/1520046217
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