Vector calculus on weighted reflexive Banach spaces
Abstract We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces and to the related tangent bundles.
Authors
- Enrico Pasqualetto (ORCID: https://orcid.org/0000-0002-7532-5577)
- Tapio Rajala (ORCID: https://orcid.org/0000-0001-6450-9656)
Institutions
- University of Jyväskylä (FI)
Publication Details
- Journal
- Mathematische Zeitschrift
- Published
- 2024-10-14
- DOI
- https://doi.org/10.1007/s00209-024-03605-6
- Citations
- 2
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.66
Funders
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Jyväskylän Yliopisto