Bourgain-Brezis-Mironescu formula for magnetic operators

2016/02/09 by Squassina, Marco, Volzone, Bruno
#26A33 #49A50 #82D99 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.02967

Abstract

We prove a Brezis-Bourgain-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.

Related

• Magnetic BV functions and the Bourgain-Brezis-Mironescu formula
• Magnetic Fractional order Orlicz-Sobolev spaces
• New characterizations of magnetic Sobolev spaces
• On a fractional magnetic pseudorelativistic operator: properties and applications
• On anisotropic Sobolev spaces