New thoughts on fractional Sobolev spaces
We introduce the concept of a fractional upper gradient and employ it to characterize the $p$-Muckenhoupt weighted $s$-fractional $p$-Sobolev spaces on $\mathbb R^d$ where $d\in\mathbb N$, $1
Authors
- Pekka Koskela (ORCID: https://orcid.org/0000-0002-6253-1013)
- Angha Agarwal
- Khanh Nguyen
Publication Details
- Journal
- arXiv (Cornell University)
- Published
- 2026-10-26
- DOI
- https://doi.org/10.48550/arxiv.2610.35279
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- preprint