Calderón-Zygmund Estimates for the Fractional p-Laplacian

被引：0
作者：
Diening, Lars [1 ]
Nowak, Simon [1 ]
机构：
[1] Univ Bielefeld, Fak Math, Postfach 100131, D-33501 Bielefeld, Germany
来源：
ANNALS OF PDE | 2025年 / 11卷 / 01期
关键词：
Nonlocal equations; Fractional p-Laplacian; Regularity; Calder & oacute; n-Zygmund estimates; Fractional maximal functions; ELLIPTIC-EQUATIONS; HOLDER REGULARITY; NONLOCAL EQUATIONS; POTENTIALS; SPACES;
D O I：
10.1007/s40818-025-00196-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove fine higher regularity results of Calder & oacute;n-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.
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页数：33
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