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math.FA2026
Uncentred maximal operators with respect to half balls on Damek--Ricci spaces
Nikolaos Chalmoukis, Stefano Meda, Effie Papageorgiou +1
In this paper we study a variant of the uncentred Hardy--Littlewood maximal operator on Damek--Ricci spaces in which balls are replaced by suitable half balls. Perhaps surprisingly…
math.AP2026
Long-time asymptotics for the heat kernel and for heat equation solutions on homogeneous trees
Effie Papageorgiou
We study the large-time behavior of the continuous-time heat kernel and of solutions to the heat equation on homogeneous trees. First, we derive sharp asymptotic formulas for the h…