Inserted: 31 dec 2017
Last Updated: 3 jan 2018
We obtain an asymptotic representation formula for harmonic functions with respect to a linear anisotropic nonlocal operator. Furthermore we get a Bourgain-Brezis-Mironescu type limit formula for a related class of anisotropic nonlocal norms.
Keywords: Mean value formulas, anisotropic fractional operators