On Lipschitz approximations in second order Sobolev spaces and the change of variables formula
نویسندگان
چکیده
In this paper we study approximations of functions Sobolev spaces W p , loc 2 ( Ω ) ⊂ R n by Lipschitz continuous functions. We prove that if f ∈ 1 ≤ < ∞ then there exists a sequence closed sets { A k } = + such the restrictions | are and cap S 0 ∖ ⋃ . Using these change variables formula in Lebesgue integral for mappings ; with Luzin capacity-measure N -property.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125659