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math.FA2025
Geometric inequalities related to fractional perimeter: fractional Poincaré, isoperimetric, and boxing inequalities in metric measure spaces
Josh Kline, Panu Lahti, Jiang Li +1
In the setting of a complete, doubling metric measure space supporting a -Poincaré inequality, we show that for all , the following fractional Poincaré…
math.FA2025
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 int…