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
Pinamonti, A., Vecchi, E., Squassina, M., Magnetic BV functions and the Bourgain-Brezis-Mironescu formula, <<ADVANCES IN CALCULUS OF VARIATIONS>>, 2019; (12): 225-252. [doi:10.1515/acv-2017-0019] [http://hdl.handle.net/10807/132140]
Magnetic BV functions and the Bourgain-Brezis-Mironescu formula
Squassina, Marco
Membro del Collaboration Group
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
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