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math.MG2016★ 2 cited
Prime ends in metric spaces and boundary extensions of mappings
Tomasz Adamowicz
By using the inner diameter distance condition we define and investigate new, in such a generality, class of homeomorphisms between domains in metric spaces and show…
math.MG2016
Harmonic functions on metric measure spaces
Tomasz Adamowicz, Michał Gaczkowski, Przemysław Górka
We introduce and study strongly and weakly harmonic functions on metric measure spaces defined via the mean value property holding for all and, respectively, for some radii of ball…