[en] This poster is concerned with composition operators
\[
T_\Phi(f)=\Phi\circ f
\]
on generalized Sobolev spaces. After recalling classical results for Sobolev, Bessel potential, and Sobolev--Slobodeckij spaces, it introduces a broader scale of spaces \(H_p^\phi\) defined by function parameters \(\phi\). This framework includes, in particular, logarithmic refinements of the usual Sobolev spaces. The aim is to understand under which assumptions on \(\Phi\) these generalized spaces remain stable under composition.
Disciplines :
Mathematics
Author, co-author :
LAMBY, Thomas ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
External co-authors :
no
Language :
English
Title :
On Composition Operators in Generalized Sobolev Spaces defined by Bessel-Type Operators
Publication date :
01 April 2026
Event name :
Conference at CIRM : Composition operators and Banach spaces theory
Event organizer :
Frédéric Bayart (Université Clermont Auvergne); Isabelle Chalendar (Université Gustave Eiffel); Pascal Lefevre (CNRS, Université d’Artois); Antonin Prochazka (CNRS, Université de Franche-Comté); Luis Rodriguez-Piazza (University of Seville)
