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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.MG2026
Walk dimension and vanishing curve modulus in metric measure spaces
Aobo Chen
On a regular local -Dirichlet space supporting a Poincaré inequality and a capacity upper bound, we characterize the existence of curve families of positive -modulus in terms…