Asymptotic mean value properties for fractional anisotropic operators
classification
🧮 math.AP
keywords
anisotropicasymptoticformulanonlocalbourgain-brezis-mironescuclassfractionalfunctions
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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.
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