Work

Interpolation of derivatives and ultradifferentiable regularity

Year: 2024

Type: article

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.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.202300567

Authors: Armin Rainer, Gerhard Schindl

Institution: University of Vienna

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,300

Funder: Austrian Science Fund