9 citations · 76 across the 31 of their papers we have counts for
39 papers
Semilinear Diffusion Equations on Infinite Graphs: The Dissipative and Lipschitz Cases
Elvise Berchio, Davide Bianchi, Alberto G. Setti +1
We study a class of semilinear diffusion equations on infinite, connected, weighted graphs, focusing on two types of nonlinearities: monotone decreasing and Lipschitz continuous. U…
Pointwise multipliers for Triebel--Lizorkin and Besov spaces on Lie groups
Tommaso Bruno, Marco M. Peloso, Maria Vallarino
On a general Lie group endowed with a sub-Riemannian structure and of local dimension , we characterize the pointwise multipliers of Triebel--Lizorkin spaces for…
Heat kernel and Riesz transform for the flow Laplacian on homogeneous trees
Alessio Martini, Federico Santagati, Maria Vallarino
Let denote the homogeneous tree of degree with the standard graph distance and the canonical flow measure . The metric measure space $(\mathbb T_{q+1…
Inclusions and noninclusions of Hardy type spaces on certain nondoubling manifolds
Alessio Martini, Stefano Meda, Maria Vallarino +1
In this paper we establish inclusions and noninclusions between various Hardy type spaces on noncompact Riemannian manifolds with Ricci curvature bounded from below, positive i…
Harmonic Bergman projectors on homogeneous trees
Filippo De Mari, Matteo Monti, Maria Vallarino
In this paper we investigate some properties of the harmonic Bergman spaces on a -homogeneous tree, where , , and is a finite meas…
Poincaré inequalities on graphs
Matteo Levi, Federico Santagati, Anita Tabacco +1
We prove local -Poincaré inequalities, , on quasiconvex sets in infinite graphs endowed with a family of locally doubling measures, and global -Poincaré…