paper

A Note on Alberti's Luzin-Type Theorem for Gradients

arXiv:1910.02537

Abstract

We give a "soft" proof of Alberti's Luzin-type theorem in [1] (G. Alberti, A Lusintype theorem for gradients, J. Funct. Anal. 100 (1991)), using elementary geometric measure theory and topology. Applications to the -rectifiability problem are also discussed.

arXiv comment8 pages. Ricerche di Mat. (2020)