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arXiv 0807.2233math.CAmath.MG

Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces

Niko Marola, William P. Ziemer

英文摘要:

We consider some measure-theoretic properties of functions belonging to a Sobolev-type class on metric measure spaces that admit a Poincaré 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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