Seminario de Análisis

Viernes, 28 de marzo de 2025,
11:30 - 12:30, Aula 520, departamento de Matemáticas

Maria Vallarino

Politecnico di Torino
Riesz transforms on graphs

Resumen:
We shall recall various results obtained in the last 10 years on the boundedness of Riesz
transforms for bounded Laplacians on graphs. In the particular setting of homogeneous
trees, we shall discuss the boundedness properties of the Riesz transform associated
with the normalized Laplacian with respect to the counting measure (studied by Celotto
and Meda), and of the Riesz transform associated with the flow Laplacian with
respect to the canonical flow measure (studied by Hebisch and Steger and in a joint
work with Levi, Martini, Santagati and Tabacco).
We then generalize the previous results for the Riesz transform associated with the flow
Laplacian on nonhomegenous trees equipped with general (not necessarily canonical)
flow measures. This is a joint work with Martini, Santagati and Tabacco.