2 papers
math.CA2025
Limits at infinity for HajÅasz-Sobolev functions in metric spaces
Angha Agarwal, Antti V. Vähäkangas
We study limits at infinity for homogeneous Hajlasz-Sobolev functions defined on uniformly perfect metric spaces equipped with a doubling measure. We prove that a quasicontinuous r…
math.AP2025
Limits at infinity for functions in fractional Sobolev spaces
Angha Agarwal, Pekka Koskela, Kaushik Mohanta
We establish optimal results on limits at infinity for functions in fractional Sobolev spaces.