Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty )$ spaces

Luigi Ambrosio, Elia Bruè, Dario Trevisan

We establish new approximation results, in the sense of Lusin, of Sobolev functions by Lipschitz ones, in some classes of non-doubling metric measure structures. Our proof techniqu…