Fine Properties of Sets of Finite Perimeter in Doubling Metric Measure Spaces |
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Authors: | Luigi Ambrosio |
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Institution: | (1) Scuola Normale Superiore, Piazza Cavalieri 7, 56100 Pisa, Italy |
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Abstract: | The aim of this paper is to study the properties of the perimeter measure in the quite general setting of metric measure spaces. In particular, defining the essential boundary *
E of E as the set of points where neither the density of E nor the density of X E is 0, we show that the perimeter measure is concentrated on *
E and is representable by an Hausdorff-type measure. |
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Keywords: | BV functions doubling property Hausdorff measure essential boundary |
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