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math.FA2026
Riesz transform on eventually Gaussian local trees
Fabrice Baudoin, Aobo Chen, Li Chen
We study the Riesz transform 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 on the unbounded Vicsek set. The space carries its Hausdorff measure . The gradient…
math.FA2020★ 1 cited
-Poincaré inequalities on nested fractals
Fabrice Baudoin, Li Chen
We prove on some nested fractals scale invariant -Poincaré inequalities on metric balls in the range . Our proof is based on the development of the local -…