Abstract:
The paper deals with some recent assertions about truncations $f\mapsto |f|$ and compositions $f\mapsto g\circ f$ in the spaces $A^s_{p,q}(\mathbb R^n)$, $A\in \{B,F\}$.
Citation:
Hans Triebel, “Truncations and Compositions in Function Spaces”, Theory of Functions of Several Real Variables and Its Applications, Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday, Trudy Mat. Inst. Steklova, 323, Steklov Mathematical Institute of RAS, Moscow, 2023, 224–251; Proc. Steklov Inst. Math., 323 (2023), 217–243
\Bibitem{Tri23}
\by Hans~Triebel
\paper Truncations and Compositions in Function Spaces
\inbook Theory of Functions of Several Real Variables and Its Applications
\bookinfo Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 323
\pages 224--251
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4360}
\crossref{https://doi.org/10.4213/tm4360}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 323
\pages 217--243
\crossref{https://doi.org/10.1134/S0081543823050140}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85186909311}