Asymptotically mean value harmonic functions in doubling metric spaces
Abstract: The classical mean value property of harmonic functions on Euclidean domains is no longer true in Riemannian manifolds. Instead, an asymptotic version (AMV) of the mean value property holds. Both notions actually make sense far more generally in metric measure spaces, and in this talk I will explore some aspects of AMV-harmonic functions in this very general setting.
