Archivio Istituzionale della RicercaWe 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 Lp-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.
Carleson Measures on Locally Finite Trees / Ottazzi, A.; Santagati, F.. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - 34:12(2024), pp. 1-25. [10.1007/s12220-024-01823-2]
Carleson Measures on Locally Finite Trees
Ottazzi A.;Santagati F.
2024
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 Lp-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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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/3001947