The Lipschitz Truncation of Functions of Bounded Variation
Breit D, Diening L, Gmeineder F (2021)
Indiana University Mathematics Journal 70(6): 2237-2260.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Breit, Dominic;
Diening, LarsUniBi 
;
Gmeineder, Franz
;
Gmeineder, FranzEinrichtung
Abstract / Bemerkung
We construct a Lipschitz truncation which approximates functions of bounded variation in the area-strict metric. The Lipschitz truncation changes the original function only on a small set similar to Luzin's theorem. Previous results could only give estimates on the Lebesgue measure of the set where the Lipschitz approximations differ from the original function.
Stichworte
Functions of bounded variation;
Lipschitz truncation;
Luzin property
Erscheinungsjahr
2021
Zeitschriftentitel
Indiana University Mathematics Journal
Band
70
Ausgabe
6
Seite(n)
2237-2260
ISSN
0022-2518
eISSN
1943-5258
Page URI
https://pub.uni-bielefeld.de/record/2960443
Zitieren
Breit D, Diening L, Gmeineder F. The Lipschitz Truncation of Functions of Bounded Variation. Indiana University Mathematics Journal . 2021;70(6):2237-2260.
Breit, D., Diening, L., & Gmeineder, F. (2021). The Lipschitz Truncation of Functions of Bounded Variation. Indiana University Mathematics Journal , 70(6), 2237-2260. https://doi.org/10.1512/iumj.2021.70.8742
Breit, Dominic, Diening, Lars, and Gmeineder, Franz. 2021. “The Lipschitz Truncation of Functions of Bounded Variation”. Indiana University Mathematics Journal 70 (6): 2237-2260.
Breit, D., Diening, L., and Gmeineder, F. (2021). The Lipschitz Truncation of Functions of Bounded Variation. Indiana University Mathematics Journal 70, 2237-2260.
Breit, D., Diening, L., & Gmeineder, F., 2021. The Lipschitz Truncation of Functions of Bounded Variation. Indiana University Mathematics Journal , 70(6), p 2237-2260.
D. Breit, L. Diening, and F. Gmeineder, “The Lipschitz Truncation of Functions of Bounded Variation”, Indiana University Mathematics Journal , vol. 70, 2021, pp. 2237-2260.
Breit, D., Diening, L., Gmeineder, F.: The Lipschitz Truncation of Functions of Bounded Variation. Indiana University Mathematics Journal . 70, 2237-2260 (2021).
Breit, Dominic, Diening, Lars, and Gmeineder, Franz. “The Lipschitz Truncation of Functions of Bounded Variation”. Indiana University Mathematics Journal 70.6 (2021): 2237-2260.
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