The Maz'ya-Shaposhnikova limit in the magnetic setting

Andrea Pinamonti; Marco Squassina; Eugenio Vecchi

doi:10.1016/j.jmaa.2016.12.065

The Maz'ya-Shaposhnikova limit in the magnetic setting

Andrea Pinamonti
, Marco Squassina
, Eugenio Vecchi

University of Trento
University of Bologna

Research output: Contribution to journal › Article

21 Citations (Scopus)

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

Original language	English
Pages (from-to)	1152-1159
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
DOIs	https://doi.org/10.1016/j.jmaa.2016.12.065
Publication status	Published - 2017

Keywords

The Maz'ya-Shaposhnikova limit

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10.1016/j.jmaa.2016.12.065

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title = "The Maz'ya-Shaposhnikova limit in the magnetic setting",

abstract = "We prove a magnetic version of the Maz{\textquoteright}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 = "The Maz'ya-Shaposhnikova limit, The Maz'ya-Shaposhnikova limit",

author = "Andrea Pinamonti and Marco Squassina and Eugenio Vecchi",

year = "2017",

doi = "10.1016/j.jmaa.2016.12.065",

language = "English",

pages = "1152--1159",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

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T1 - The Maz'ya-Shaposhnikova limit in the magnetic setting

AU - Pinamonti, Andrea

AU - Squassina, Marco

AU - Vecchi, Eugenio

PY - 2017

Y1 - 2017

N2 - 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

AB - 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

KW - The Maz'ya-Shaposhnikova limit

UR - http://hdl.handle.net/10807/154892

U2 - 10.1016/j.jmaa.2016.12.065

DO - 10.1016/j.jmaa.2016.12.065

M3 - Article

SN - 0022-247X

SP - 1152

EP - 1159

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

The Maz'ya-Shaposhnikova limit in the magnetic setting

Abstract

Keywords

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