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arxiv: 1610.04127 · v1 · pith:7KF37KTBnew · submitted 2016-10-13 · 🧮 math.AP

The Maz'ya-Shaposhnikova limit in the magnetic setting

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keywords limitmagneticparameterya-shaposhnikovaapproachesauthorscomplementsconvergence
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We prove a magnetic version of the Maz'ya-Shaposhnikova singular limit of nonlocal norms with vanishing fractional parameter. This complements a general convergence result recently obtained by authors when the parameter approaches one.

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