Analysis & Applications Seminar
Riesz transforms on graphs
Speaker: Maria Vallarino (Politecnico di Torino)Date: Friday, 28 March 2025 - 11:30Place: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Abstract:
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.
