PreprintCC BY 4.0arXiv
New thoughts on fractional Sobolev spaces
Abstract
We introduce the concept of a fractional upper gradient and employ it to characterize the p-Muckenhoupt weighted s-fractional p-Sobolev spaces on ℝd where d∈ℕ, 1<p<∞ and 0<s<1.
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BibTeX
@misc{agarwal2026thoughts,
title = {{New thoughts on fractional Sobolev spaces}},
author = {Angha Agarwal and Pekka Koskela and Khanh Nguyen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35279},
eprint = {2610.35279},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35279},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - New thoughts on fractional Sobolev spaces
AU - Angha Agarwal
AU - Pekka Koskela
AU - Khanh Nguyen
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35279
UR - https://arxiv.org/abs/2610.35279
AB - We introduce the concept of a fractional upper gradient and employ it to characterize the p-Muckenhoupt weighted s-fractional p-Sobolev spaces on ℝ^d where d∈ℕ, 1<p<∞ and 0<s<1.
ER -