Sobolev-type functions on metric spaces: area and co-area formulas by way of Luzin, Rado, and Reichelderfer

Details Sobolev-type functions on metric spaces: area and co-area formulas by way of Luzin, Rado, and Reichelderfer Sobolev-type functions on metric spaces: area and co-area formulas by way of Luzin, Rado, and Reichelderfer

2008-07-14

arxiv.org/abs/0807.2233v3

Mathematics

Classical Analysis and ODEs

Scientific paper

We consider some measure-theoretic properties of functions belonging to a Sobolev-type class on metric measure spaces that admit both a Poincar\'e inequality and are equipped with a doubling measure. The properties we have selected to study are those that are closely related to area and coarea formulas. We present these formulas for Newton-Sobolev functions in the abstract metric setting.

Affiliated with

Also associated with

No associations

Rating

Sobolev-type functions on metric spaces: area and co-area formulas by way of Luzin, Rado, and Reichelderfer does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sobolev-type functions on metric spaces: area and co-area formulas by way of Luzin, Rado, and Reichelderfer, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sobolev-type functions on metric spaces: area and co-area formulas by way of Luzin, Rado, and Reichelderfer will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-443714