Calderón-Zygmund estimates for the fractional p-Laplacian
Diening L, Nowak SN (2025)
Annals of PDE 11: 6.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Abstract / Bemerkung
We prove fine higher regularity results of Calderón-Zygmund-type for equations involving nonlocal operators modelled on the fractional $p$-Laplacian with possibly discontinuous coefficients of VMO-type. We accomplish this by establishing precise pointwise bounds in terms of certain fractional sharp maximal functions. This approach is new already in the linear setting and enables us to deduce sharp regularity results also in borderline cases.
Stichworte
Nonlocal equations;
Fractional p-Laplacian;
Regularity;
Calderón-Zygmund estimates;
Fractional maximal functions
Erscheinungsjahr
2025
Zeitschriftentitel
Annals of PDE
Band
11
Art.-Nr.
6
Urheberrecht / Lizenzen
eISSN
2199-2576
Page URI
https://pub.uni-bielefeld.de/record/2969593
Zitieren
Diening L, Nowak SN. Calderón-Zygmund estimates for the fractional p-Laplacian. Annals of PDE. 2025;11: 6.
Diening, L., & Nowak, S. N. (2025). Calderón-Zygmund estimates for the fractional p-Laplacian. Annals of PDE, 11, 6. https://doi.org/10.1007/s40818-025-00196-1
Diening, Lars, and Nowak, Simon Noah. 2025. “Calderón-Zygmund estimates for the fractional p-Laplacian”. Annals of PDE 11: 6.
Diening, L., and Nowak, S. N. (2025). Calderón-Zygmund estimates for the fractional p-Laplacian. Annals of PDE 11:6.
Diening, L., & Nowak, S.N., 2025. Calderón-Zygmund estimates for the fractional p-Laplacian. Annals of PDE, 11: 6.
L. Diening and S.N. Nowak, “Calderón-Zygmund estimates for the fractional p-Laplacian”, Annals of PDE, vol. 11, 2025, : 6.
Diening, L., Nowak, S.N.: Calderón-Zygmund estimates for the fractional p-Laplacian. Annals of PDE. 11, : 6 (2025).
Diening, Lars, and Nowak, Simon Noah. “Calderón-Zygmund estimates for the fractional p-Laplacian”. Annals of PDE 11 (2025): 6.
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