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math.MG2022
Coarea Inequality for Monotone Functions on Metric Surfaces
Behnam Esmayli, Toni Ikonen, Kai Rajala
We study coarea inequalities for metric surfaces -- metric spaces that are topological surfaces, without boundary, and which have locally finite Hausdorff 2-measure …
math.FA2022★ 3 cited
Extensions and approximations of Banach-valued Sobolev functions
Miguel García-Bravo, Toni Ikonen, Zheng Zhu
In complete metric measure spaces equipped with a doubling measure and supporting a weak Poincaré inequality, we investigate when a given Banach-valued Sobolev function defined on…