Carleson measures on locally finite trees
Functional Analysis
2024-05-15 v1 Classical Analysis and ODEs
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 -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.
Cite
@article{arxiv.2405.08358,
title = {Carleson measures on locally finite trees},
author = {Alessandro Ottazzi and Federico Santagati},
journal= {arXiv preprint arXiv:2405.08358},
year = {2024}
}