Carleson Measures on Locally Finite Trees

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2024年10月4日

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Alessandro Ottazzi,
Federico Santagati

摘要

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 $L^p$ $L^{p}$ -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.