Gradient regularity and first-order potential estimates for a class of nonlocal equations
Kuusi T, Nowak SN, Sire Y (2022)
arXiv: 2212.01950, to appear in American Journal of Mathematics.
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Autor*in
Kuusi, Tuomo;
Nowak, Simon NoahUniBi;
Sire, Yannick
Einrichtung
Abstract / Bemerkung
We consider nonlocal equations of order larger than one with measure data and prove gradient regularity in Sobolev and Hölder spaces as well as pointwise bounds of the gradient in terms of Riesz potentials, leading to fine regularity results in many commonly used function spaces. The kernel of the integral operators involves a Hölder dependence in the variables and is not assumed to be translation invariant.
Erscheinungsjahr
2022
Zeitschriftentitel
arXiv: 2212.01950, to appear in American Journal of Mathematics
Page URI
https://pub.uni-bielefeld.de/record/2967489
Zitieren
Kuusi T, Nowak SN, Sire Y. Gradient regularity and first-order potential estimates for a class of nonlocal equations. arXiv: 2212.01950, to appear in American Journal of Mathematics. 2022.
Kuusi, T., Nowak, S. N., & Sire, Y. (2022). Gradient regularity and first-order potential estimates for a class of nonlocal equations. arXiv: 2212.01950, to appear in American Journal of Mathematics. https://doi.org/10.48550/ARXIV.2212.01950
Kuusi, Tuomo, Nowak, Simon Noah, and Sire, Yannick. 2022. “Gradient regularity and first-order potential estimates for a class of nonlocal equations”. arXiv: 2212.01950, to appear in American Journal of Mathematics.
Kuusi, T., Nowak, S. N., and Sire, Y. (2022). Gradient regularity and first-order potential estimates for a class of nonlocal equations. arXiv: 2212.01950, to appear in American Journal of Mathematics.
Kuusi, T., Nowak, S.N., & Sire, Y., 2022. Gradient regularity and first-order potential estimates for a class of nonlocal equations. arXiv: 2212.01950, to appear in American Journal of Mathematics.
T. Kuusi, S.N. Nowak, and Y. Sire, “Gradient regularity and first-order potential estimates for a class of nonlocal equations”, arXiv: 2212.01950, to appear in American Journal of Mathematics, 2022.
Kuusi, T., Nowak, S.N., Sire, Y.: Gradient regularity and first-order potential estimates for a class of nonlocal equations. arXiv: 2212.01950, to appear in American Journal of Mathematics. (2022).
Kuusi, Tuomo, Nowak, Simon Noah, and Sire, Yannick. “Gradient regularity and first-order potential estimates for a class of nonlocal equations”. arXiv: 2212.01950, to appear in American Journal of Mathematics (2022).
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