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19982026
most citedIntegrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket

11 citations · 28 across the 16 of their papers we have counts for

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math.FA2012

Poincaré Inequality and Hajlasz-Sobolev spaces on nested fractals

Katarzyna Pietruska-Pałuba, Andrzej Stos

Given a nondegenerate harmonic structure, we prove a Poincaré-type inequality for functions in the domain of the Dirichlet form on nested fractals. We then study the Hajlasz-Sobole…