Calderón-Zygmund estimates for the fractional $p$-Laplacian
Diening L, Nowak SN (2023)
arXiv: 2303.02116.
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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.
Erscheinungsjahr
2023
Zeitschriftentitel
arXiv: 2303.02116
Page URI
https://pub.uni-bielefeld.de/record/2969593
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Diening L, Nowak SN. Calderón-Zygmund estimates for the fractional $p$-Laplacian. arXiv: 2303.02116. 2023.
Diening, L., & Nowak, S. N. (2023). Calderón-Zygmund estimates for the fractional $p$-Laplacian. arXiv: 2303.02116. https://doi.org/10.48550/ARXIV.2303.02116
Diening, Lars, and Nowak, Simon Noah. 2023. “Calderón-Zygmund estimates for the fractional $p$-Laplacian”. arXiv: 2303.02116.
Diening, L., and Nowak, S. N. (2023). Calderón-Zygmund estimates for the fractional $p$-Laplacian. arXiv: 2303.02116.
Diening, L., & Nowak, S.N., 2023. Calderón-Zygmund estimates for the fractional $p$-Laplacian. arXiv: 2303.02116.
L. Diening and S.N. Nowak, “Calderón-Zygmund estimates for the fractional $p$-Laplacian”, arXiv: 2303.02116, 2023.
Diening, L., Nowak, S.N.: Calderón-Zygmund estimates for the fractional $p$-Laplacian. arXiv: 2303.02116. (2023).
Diening, Lars, and Nowak, Simon Noah. “Calderón-Zygmund estimates for the fractional $p$-Laplacian”. arXiv: 2303.02116 (2023).
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