Archivio Istituzionale della RicercaWe 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 corresponding Bergman projection and prove that it is bounded on for every, and of weak type (1, 1). We also prove necessary and sufficient conditions for the -boundedness of the extension of a class of Toeplitz-type operators.
Harmonic Bergman spaces on locally finite trees / Ottazzi, Alessandro; Santagati, Federico. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - (2026). [10.1007/s10231-025-01652-2]
Harmonic Bergman spaces on locally finite trees
Ottazzi, Alessandro;Santagati, Federico
2026
Abstract
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 corresponding Bergman projection and prove that it is bounded on for every, and of weak type (1, 1). We also prove necessary and sufficient conditions for the -boundedness of the extension of a class of Toeplitz-type operators.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/3011307