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arXiv · 2405.08358

Carleson measures on locally finite trees

Alessandro Ottazzi·Federico Santagati
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Abstract

We provide a characterization of Carleson measures on locally finite trees. This characterization establishes the connection between Carleson measures and the boundedness of a suitable Poisson integral between $L^p$-spaces. Additionally, when the tree has bounded degree, we investigate the relationship between Carleson measures and BMO functions defined on the boundary of the tree.

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Alessandro Ottazzi, Federico Santagati. 2024-05-14. Carleson measures on locally finite trees. https://arxiv.org/abs/2405.08358

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