Riesz means on homogeneous trees

Let 𝕋 be a homogeneous tree. We prove that if f ∈ Lp(𝕋), 1 ≤ p ≤ 2, then the Riesz means SzR (f) converge to f everywhere as R → ∞, whenever Re z > 0.

Bibliographic Details
Main Author: Papageorgiou Effie
Format: Article
Language:English
Published: De Gruyter 2021-03-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2020-0111