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arXiv · 2504.00127

Poisson transforms on right-angled Artin monoids

Boyu Li
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Abstract

We introduce the notion of the weak Brehmer's condition and prove that the Cauchy transform for a representation of a right-angled Artin monoid is bounded under such conditions. As a result, we obtain the Poisson transform and $*$-regular dilation for a family of operators that satisfies the weak Brehmer's condition and the property (P). This generalizes Popescu's notion of Cauchy and Poisson transforms for commuting families of row contractions.

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BibTeXRIS

Boyu Li. 2025-03-31. Poisson transforms on right-angled Artin monoids. https://arxiv.org/abs/2504.00127

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