Bourgain-Brezis-Mironescu formula for magnetic operators

TL;DR

This paper establishes a new formula connecting fractional magnetic operators with classical magnetic theory, enhancing understanding of nonlocal magnetic spaces.

Contribution

It introduces a Bourgain-Brezis-Mironescu type formula for nonlocal magnetic spaces, linking recent fractional magnetic operators to classical theory.

Findings

Established a bridge between fractional magnetic operators and classical theory.

Extended the Bourgain-Brezis-Mironescu formula to magnetic spaces.

Provided a new analytical tool for nonlocal magnetic operators.

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.