Limits at infinity for functions in fractional Sobolev spaces

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arxiv 2501.03790 v1 pith:ZFKMB4Y5 submitted 2025-01-07 math.AP

Angha Agarwal , Pekka Koskela , Kaushik Mohanta This is my paper · ORCID

classification math.AP

keywords fractionalfunctionsinfinitylimitssobolevspacesestablishoptimal

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We establish optimal results on limits at infinity for functions in fractional Sobolev spaces.

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Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces
math.CA 2025-06 conditional novelty 6.0 of 10

On uniformly perfect metric spaces with doubling measures, homogeneous Hajlasz-Sobolev functions with sp < sigma have pointwise limits at infinity outside an (s,p)-thin exceptional set, refining earlier Hausdorff-cont...