arXiv:2405.08358 Abstract | arXiv Analytics

arXiv:2405.08358 [math.FA]Abstract References Reviews Resources

Carleson measures on locally finite trees

Published 2024-05-14Version 1

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.

Categories: math.FA, math.CA

Subjects: 05C05, 05C21, 31C05, 43A99

Keywords: locally finite trees, carleson measures, characterization establishes, bmo functions, suitable poisson integral

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