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math.FA2023
Large-scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces
Josh Kline, Pekka Koskela, Khanh Nguyen
In this paper, we study the behaviour at infinity of -Sobolev functions in the setting of Ahlfors -regular metric measure spaces supporting a -Poincaré inequality. By intr…
math.FA2022★ 1 cited
Existence and uniqueness of limits at infinity for homogeneous Sobolev functions
Pekka Koskela, Khanh Nguyen
We establish the existence and uniqueness of limits at infinity along infinite curves outside a zero modulus family for functions in a homogeneous Sobolev space under the assumptio…