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arxiv: 0807.2233 · v4 · pith:VTLEPFEFnew · submitted 2008-07-14 · 🧮 math.CA · math.MG

Aspects of area formulas by way of Luzin, Rad\'o, and Reichelderfer on metric measure spaces

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keywords measureareaformulasmetricpropertiesspacesadmitaspects
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We consider some measure-theoretic properties of functions belonging to a Sobolev-type class on metric measure spaces that admit a Poincar\'e inequality and are equipped with a doubling measure. The properties we have selected to study are those that are related to area formulas.

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