Riesz means on homogeneous trees

Effie Papageorgiou
2021 Concrete Operators  
Let 𝕋 be a homogeneous tree. We prove that if f ∈ Lp (𝕋), 1 ≤ p ≤ 2, then the Riesz means Sz R (f) converge to f everywhere as R → ∞, whenever Re z > 0.
doi:10.1515/conop-2020-0111 fatcat:l642hdu2l5gpfkdew3sz7cm3gq