A new Cartan-type property and strict quasicoverings when $p=1$ in metric spaces

zbMath1409.30050arXiv1801.09572MaRDI QIDQ4961537

Panu Lahti

Publication date: 25 October 2018

Full work available at URL: https://arxiv.org/abs/1801.09572

zbMATH Keywords

fine topologyfunction of bounded variationmetric measure spaceCartan propertyfine Newton-Sobolev spacestrict quasicovering

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Potential theory on fractals and metric spaces (31E05) Analysis on metric spaces (30L99)

Related Items (5)

The Dirichlet problem for \(p\)-minimizers on finely open sets in metric spaces ⋮ Approximation of BV by SBV functions in metric spaces ⋮ Capacities and 1-strict subsets in metric spaces ⋮ Discrete convolutions of \(\text{BV}\) functions in quasiopen sets in metric spaces ⋮ A new Federer-type characterization of sets of finite perimeter

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