Carleson measures on locally finite trees

2024/05/14 by Ottazzi, Alessandro, Santagati, Federico · 1 citation
#05C05 #05C21 #31C05 #43A99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2405.08358

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.

Cited by

• Harmonic Bergman spaces on locally finite trees

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