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math.PR2024
Uniform boundary Harnack principle for non-local operators on metric measure spaces
Shiping Cao, Zhen-Qing Chen
We obtain a uniform boundary Harnack principle (BHP) on any open sets for a large class of non-local operators on metric measure spaces under a jump measure comparability and tail…
math.PR2024
Convergence of resistances on generalized {S}ierpiński carpets
Shiping Cao, Zhen-Qing Chen
We positively answer the open question of Barlow and Bass about the convergence of renormalized effective resistance between opposite faces of Euclidean domains approximating a gen…