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math.FA2025
Harmonic Bergman spaces on locally finite trees
Alessandro Ottazzi, Federico Santagati
We define the harmonic Bergman space on locally finite trees with respect to a suitable probabilistic Laplacian and a class of weighted flow measures. We characterise the correspon…
math.FA2025
Flag Hardy space theory on Heisenberg groups and applications
Peng Chen, Michael G. Cowling, Ming-Yi Lee +2
We establish a complete theory of the flag Hardy space on the Heisenberg group with characterisations via atomic decompositions, area functions, square functions, m…
math.FA2024
Carleson measures on locally finite trees
Alessandro Ottazzi, Federico Santagati
We provide a characterization of Carleson measures on locally finite trees. This characterization establishes the connection between Carleson measures and the boundedness of a suit…