Intersection Representations of Besov and Bessel Potential Spaces Involving Tensor Products
We study how Besov spaces $$B^s_{p,p}(\mathbb R^2)$$ and Bessel potential spaces $$H^s_p(\mathbb R^2)$$ can be described as intersections of tensor products of the associated univariate spaces with $$L_p(\mathbb R)$$ . This generalizes a well-known result by Griebel and Oswald for $$H^1(\mathbb R^2)$$ in various directions.
Authors
- Winfried Sickel (ORCID: https://orcid.org/0000-0001-8609-077X)
- Markus Hansen (ORCID: https://orcid.org/0000-0002-5981-2367)
- Dachun Yang
- Wen Yuan
Institutions
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Beijing Normal University (CN)
- Friedrich Schiller University Jena (DE)
Publication Details
- Journal
- Proceedings of the Steklov Institute of Mathematics
- Published
- 2025-12-01
- DOI
- https://doi.org/10.1134/s008154382560156x
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00