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 / Pinamonti, Andrea; Squassina, Marco; Vecchi, Eugenio. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 449:2(2017), pp. 1152-1159. [10.1016/j.jmaa.2016.12.065]
The Maz'ya-Shaposhnikova limit in the magnetic setting
SQUASSINA, MARCO;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 allegati a questo prodotto
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