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math.MG2018★ 1 cited
Asymptotic behavior of BV functions and sets of finite perimeter in metric measure spaces
Sylvester Eriksson-Bique, James T. Gill, Panu Lahti +1
In this paper, we study the asymptotic behavior of BV functions in complete metric measure spaces equipped with a doubling measure supporting a -Poincaré inequality. We show tha…
math.MG2014
Discrete Approximations of Metric Measure Spaces of Controlled Geometry
James T. Gill, Marcos Lopez
We find a necessary and sufficient condition for a doubling metric space to carry a (1,p)-Poincare inequality. The condition involves discretizations of the metric space and Poinca…