[Formule de Brézis–Bourgain–Mironescu pour des opérateurs magnétiques]
On démontre une formule du type Bourgain–Brézis–Mironescu pour une classe d'espaces magnétiques non locaux, qui jette un pont entre un opérateur magnétique fractionnaire récemment introduit et la théorie classique.
We prove a Bourgain–Brézis–Mironescu-type formula for a class of nonlocal magnetic spaces, which builds a bridge between a fractional magnetic operator recently introduced and the classical theory.
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@article{CRMATH_2016__354_8_825_0,
author = {Squassina, Marco and Volzone, Bruno},
title = {Bourgain{\textendash}Br\'ezis{\textendash}Mironescu formula for magnetic operators},
journal = {Comptes Rendus. Math\'ematique},
pages = {825--831},
publisher = {Elsevier},
volume = {354},
number = {8},
year = {2016},
doi = {10.1016/j.crma.2016.04.013},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2016.04.013/}
}
TY - JOUR AU - Squassina, Marco AU - Volzone, Bruno TI - Bourgain–Brézis–Mironescu formula for magnetic operators JO - Comptes Rendus. Mathématique PY - 2016 SP - 825 EP - 831 VL - 354 IS - 8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2016.04.013/ DO - 10.1016/j.crma.2016.04.013 LA - en ID - CRMATH_2016__354_8_825_0 ER -
%0 Journal Article %A Squassina, Marco %A Volzone, Bruno %T Bourgain–Brézis–Mironescu formula for magnetic operators %J Comptes Rendus. Mathématique %D 2016 %P 825-831 %V 354 %N 8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2016.04.013/ %R 10.1016/j.crma.2016.04.013 %G en %F CRMATH_2016__354_8_825_0
Squassina, Marco; Volzone, Bruno. Bourgain–Brézis–Mironescu formula for magnetic operators. Comptes Rendus. Mathématique, Tome 354 (2016) no. 8, pp. 825-831. doi : 10.1016/j.crma.2016.04.013. http://www.numdam.org/articles/10.1016/j.crma.2016.04.013/
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