4 papers
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…
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…
Mass Functions and Asymptotic Behavior of Caloric Functions on Affine Buildings
Effie Papageorgiou, Bartosz Trojan
We study the large-time asymptotic behavior of solutions to the discrete-time heat equation, i.e., caloric functions, on affine buildings, including those without transitive group…
Counting function estimates for coherent frames and Riesz sequences
Effie Papageorgiou, Jordy Timo van Velthoven
We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary den…