Composition in ultradifferentiable classes

• Autorzy: Armin Rainer , Gerhard Schindl
• Języki publikacji: EN

Abstrakty

EN

We characterize stability under composition of ultradifferentiable classes defined by weight sequences M, by weight functions ω, and, more generally, by weight matrices 𝔐, and investigate continuity of composition (g,f) ↦ f ∘ g. In addition, we represent the Beurling space $𝓔^{(ω)}$ and the Roumieu space $𝓔^{ω}$ as intersection and union of spaces $𝓔^{(M)}$ and $𝓔^{M}$ for associated weight sequences, respectively.

Kategorie tematyczne

• 30D60: Quasi-analytic and other classes of functions
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 47B33: Composition operators
• 26E10: C ∞ -functions, quasi-analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 224
• Numer: 2
• Strony: 97-131

Daty

wydano

2014

Twórcy

autor

Armin Rainer

• Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090 Wien, Austria

autor

Gerhard Schindl

• Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090 Wien, Austria

Identyfikatory

DOI

10.4064/sm224-2-1