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• W147682785 abstract "We develop a capacity theory based on the definition of Sobolev functions on metric spaces with a Borel regular outer measure. Basic properties of capacity, including mono- tonicity, countable subadditivity and several convergence results, are studied. As an application we prove that each Sobolev function has a quasicontinuous representative. For doubling measures we provide sharp estimates for the capacity of balls. Capacity and Hausdorff measures are related under an additional regularity assumption on the measure." @default.
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• W147682785 date "1996-01-01" @default.
• W147682785 modified "2023-10-01" @default.
• W147682785 title "THE SOBOLEV CAPACITY ON METRIC SPACES" @default.
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