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.
Pinamonti, A., Squassina, M., Vecchi, E. (2017). The Maz'ya–Shaposhnikova limit in the magnetic setting. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 449(2), 1152-1159 [10.1016/j.jmaa.2016.12.065].
The Maz'ya–Shaposhnikova limit in the magnetic setting
VECCHI, EUGENIO
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.File in questo prodotto:
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