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.
2019-01-01
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.File in questo prodotto:
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