The Maz'ya-Shaposhnikova limit in the magnetic setting
Analysis of PDEs
2016-10-14 v1
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.
Keywords
Cite
@article{arxiv.1610.04127,
title = {The Maz'ya-Shaposhnikova limit in the magnetic setting},
author = {Andrea Pinamonti and Marco Squassina and Eugenio Vecchi},
journal= {arXiv preprint arXiv:1610.04127},
year = {2016}
}
Comments
7 pages