We describe a fractional version of the classical Gehring lemma. As a consequence, new self-improving regularity properties of solutions to integrodi¤erential equations emerge.
Cite this article
Tuomo Kuusi, Giuseppe Mingione, Yannick Sire, A fractional Gehring lemma, with applications to nonlocal equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 25 (2014), no. 4, pp. 345–358DOI 10.4171/RLM/683