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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…
math.AP2022
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…