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., The Maz'ya-Shaposhnikova limit in the magnetic setting, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2017; (449): 1152-1159. [doi:10.1016/j.jmaa.2016.12.065] [http://hdl.handle.net/10807/154892]

The Maz'ya-Shaposhnikova limit in the magnetic setting

Andrea; Squassina;
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
Inglese
Pinamonti, A., Squassina, M., Vecchi, E., The Maz'ya-Shaposhnikova limit in the magnetic setting, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2017; (449): 1152-1159. [doi:10.1016/j.jmaa.2016.12.065] [http://hdl.handle.net/10807/154892]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/154892
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