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arXiv · 1909.06072

Riesz means on homogeneous trees

Effie Papageorgiou
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Abstract

Let $\mathbb{T}$ be a homogeneous tree. We prove that if $f\in L^{p}(X)$, $1\leq p\leq 2$, then the Riesz means $S_{R}^{z}\left( f\right) $ converge to $f$ almost everywhere as $R\rightarrow \infty $, whenever $\operatorname{Re}z>0 $.

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Effie Papageorgiou. 2021-06-02. Riesz means on homogeneous trees. https://arxiv.org/abs/1909.06072

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