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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 323, Pages 224–251
DOI: https://doi.org/10.4213/tm4360 (Mi tm4360) 		 
Truncations and Compositions in Function Spaces

Hans Triebel

Institut für Mathematik, Friedrich-Schiller-Universität Jena, Jena, Germany
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DOI: https://doi.org/10.4213/tm4360
Abstract: The paper deals with some recent assertions about truncations $f\mapsto |f|$ and compositions $f\mapsto g\circ f$ in the spaces $A^s_{p,q}(\mathbb R^n)$, $A\in \{B,F\}$.
Keywords: function spaces, truncations, compositions.
Funding agency
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Received: October 12, 2022
Revised: April 13, 2023
Accepted: August 2, 2023
Published: 23.02.2024
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 323, Pages 217–243
DOI: https://doi.org/10.1134/S0081543823050140
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 46E35
Language: Russian
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
Citation in format AMSBIB
\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}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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