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arXiv:0807.2233 [math.CA]AbstractReferencesReviewsResources

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

Niko Marola, William P. Ziemer

Published 2008-07-14, updated 2015-02-25Version 4

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.

Journal: J. Math. Soc. Japan 67 (2015), 561-579
Categories: math.CA, math.MG
Subjects: 46E35, 46E40, 30L99, 28A99
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