3 papers
math.FA2023
On a quasi-additivity formula for the capacity on Ahlfors-regular spaces
Michelangelo Cavina
In this work we prove formulas of quasi-additivity for the capacity associated to kernels of radial type in the setting of the boundary of a tree structure and in the setting of co…
math.PR2023
A note on a stochastic approach to Caffarelli-Silvestre Theorem
Michelangelo Cavina
In this note we analyze the Caffarelli-Silvestre extension function using tools from the theory of stochastic analysis applied to Dirichlet problems. We use a stochastic approach t…
math.CA2020
Bellman function for Hardy's inequality over dyadic trees
Michelangelo Cavina
In this article we use the Bellman function technique to characterize the measures for which the weighted Hardy's inequality holds on dyadic trees. We enunciate the (dual) Hardy's…