Interpolation of derivatives and ultradifferentiable regularity
Abstract Interpolation inequalities for functions allow to bound derivatives of intermediate order by bounds for the derivatives of order 0 and . We review various interpolation inequalities for ‐norms () in arbitrary finite dimensions. They allow us to study ultradifferentiable regularity by lacunary estimates in a comprehensive way, striving for minimal assumptions on the weights.
Authors
- Gerhard Schindl (ORCID: https://orcid.org/0000-0003-2192-9110)
- Armin Rainer (ORCID: https://orcid.org/0000-0003-3825-3313)
Institutions
- University of Vienna (AT)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2024-12-18
- DOI
- https://doi.org/10.1002/mana.202300567
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Austrian Science Fund