Horocyclic harmonic Bergman spaces on homogeneous trees

Filippo De Mari, Matteo Monti, Elena Rizzo

The main focus of this contribution is on the harmonic Bergman spaces ${\mathcal{B}}_{\alpha }^p$ on the $q$-homogeneous tree ${\mathfrak{X}}_q$ endowed with a family of measures ${\sigma }_{\alpha }$ that…