2 papers
math.CA2026
On spaces of arc-smooth maps
Armin Rainer
It is well-known that a function on an open set in is smooth if and only if it is arc-smooth, i.e., its composites with all smooth curves are smooth. In recent work,…
math.FA2024
Interpolation of derivatives and ultradifferentiable regularity
Armin Rainer, Gerhard Schindl
Interpolation inequalities for functions allow to bound derivatives of intermediate order by bounds for the derivatives of order and . We review various inte…