1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
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…
On Limits at Infinity of Weighted Sobolev Functions
Sylvester Eriksson-Bique, Khanh Nguyen, Pekka Koskela
We study necessary and sufficient conditions for a Muckenhoupt weight that yield almost sure existence of radial, and vertical, limits at in…
Topological zeta functions of complex plane curve singularities
Quy Thuong Lê, Khanh Hung Nguyen
We study topological zeta functions of complex plane curve singularities using toric modifications and further developments. As applications of the research method, we prove that t…