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math.CA2008
Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces
Niko Marola, William P. Ziemer
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 doubl…
math.CA2001★ 13 cited
The coarea formula for Sobolev mappings
Jan Maly, David Swanson, William P. Ziemer
We extend Federer's coarea formula to mappings belonging to the Sobolev class , , , and more generally, to mappings with gradient in the Lor…