Riesz means on homogeneous trees

Abstract

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.

Keywords

• homogeneous trees
• riesz means
• 43a90
• 22e30