Non-local self-improving properties: A functional analytic approach
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math.CA
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non-localanalyticapproachellipticequationsfunctionalpropertiesself-improving
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A functional analytic approach to obtaining self-improving properties of solutions to linear non-local elliptic equations is presented. It yields conceptually simple and very short proofs of some previous results due to Kuusi-Mingione-Sire and Bass-Ren. Its flexibility is demonstrated by new applications to non-autonomous parabolic equations with non-local elliptic part and questions related to maximal regularity
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