A. Debrouwere

activity

20152026

most citedOn weighted inductive limits of spaces of ultradifferentiable functions and their duals

18 citations · 115 across the 44 of their papers we have counts for

collaborators

Showing 2022 · math.FAShow all

3 papers · 2 filters

math.FA2022

A note on the barrelledness of weighted $(P L B)$ -spaces of ultradifferentiable functions

Andreas Debrouwere, Lenny Neyt

In this note we consider weighted $(P L B)$ -spaces of ultradifferentiable functions defined via a weight function and a weight system, as introduced in our previous work [4]. We prov…

math.FA2022★ 6 cited

Linear topological invariants for kernels of convolution and differential operators

Andreas Debrouwere, Thomas Kalmes

We establish the condition $(Ω)$ for smooth kernels of various types of convolution and differential operators. By the $(D N)$ - $(Ω)$ splitting theorem of Vogt and Wagner, this impli…

math.FA2022★ 1 cited

A note on composition operators between weighted spaces of smooth functions

Andreas Debrouwere, Lenny Neyt

For certain weighted locally convex spaces $X$ and $Y$ of one real variable smooth functions, we characterize the smooth functions $φ : R \to R$ for which the comp…

A note on the barrelledness of weighted (PLB)-spaces of ultradifferentiable functions

Linear topological invariants for kernels of convolution and differential operators

A note on composition operators between weighted spaces of smooth functions

A note on the barrelledness of weighted $(P L B)$ -spaces of ultradifferentiable functions