On anisotropic Sobolev spaces

Published 2 Oct 2017 in math.FA | (1710.00917v1)

Abstract: We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain-Brezis-Mironescu formula, including the magnetic case both for Sobolev and BV functions.

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