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
Squassina, Marco;
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
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