Aobo Chen

activity

20242026

most citedBoundary Harnack principle on uniform domains

3 citations · 4 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.FA2026

Riesz transform on eventually Gaussian local trees

Fabrice Baudoin, Aobo Chen, Li Chen

We study the Riesz transform $R = \partial (- Δ)^{- \frac{1}{2}}$ on uniform local trees, metric measure spaces that are locally real trees and whose canonical Dirichlet form…

math.FA2026

Riesz transforms on the Vicsek set

Fabrice Baudoin, Aobo Chen, Li Chen

We study Riesz and reverse Riesz inequalities for the fractional powers of the Laplacian $Δ$ on the unbounded Vicsek set. The space carries its Hausdorff measure $m$ . The gradient…

math.FA2024★ 1 cited

Besov-Lipschitz norm and $p$ -energy measure on scale-irregular Vicsek sets

Aobo Chen, Jin Gao, Zhenyu Yu +1

In this paper, we establish the existence of $p$ -energy norms and the corresponding $p$ -energy measures for scale-irregular Vicsek sets, which may lack self-similarity. We also inv…

Riesz transform on eventually Gaussian local trees

Riesz transforms on the Vicsek set

Besov-Lipschitz norm and p-energy measure on scale-irregular Vicsek sets

Besov-Lipschitz norm and $p$ -energy measure on scale-irregular Vicsek sets