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math.AP2022
Weighted means of harmonic functions and characterization of balls
Nikolay Kuznetsov
Weighted mean value identities over balls are considered for harmonic functions and their derivatives. Logarithmic and other weights are involved in these identities for functions.…
math.AP2022
Inverse mean value properties (a survey)
Nikolay Kuznetsov
Several mean value identities for harmonic and panharmonic functions are reviewed along with the corresponding inverse properties. The latter characterize balls, annuli and strips…