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.

The Maz'ya–Shaposhnikova limit in the magnetic setting

Vecchi E.
2017

Abstract

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.
Characterization of Sobolev spaces; Fractional magnetic spaces; Maz'ya–Shaposhnikova limit
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1125522
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