We prove a general magnetic Bourgain-Brezis-Mironescu formula which extends the one obtained in [37] in the Hilbert case setting. In particular, after developing a rather complete theory of magnetic bounded variation functions, we prove the validity of the formula in this class.

Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula

Vecchi E.
2019

Abstract

We prove a general magnetic Bourgain-Brezis-Mironescu formula which extends the one obtained in [37] in the Hilbert case setting. In particular, after developing a rather complete theory of magnetic bounded variation functions, we prove the validity of the formula in this class.
Bourgain-Brezis-Mironescu formula; BV-functions; Fractional magnetic spaces
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1125525
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