Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted $L^p$ maximal inequalities

I. Alvarez-Romero, B. Barrios, J. J. Betancor

In this paper we consider the heat semigroup $\{W_t{\}}_{t>0}$ defined by the combinatorial Laplacian and two subordinated families of $\{W_t{\}}_{t>0}$ on homogeneous trees $X$. We ch…