Nonautonomous superposition operators in the spaces of functions of bounded variation

Dariusz Bugajewski , Daria Bugajewska , Piotr Kasprzak , Piotr Maćkowiak

Abstract

The main goal of this paper is to give an answer to the main problem of the theory of nonautonomous superposition operators acting in the space of functions of bounded variation in the sense of Jordan. Namely, we give necessary and sufficient conditions which guarantee that nonautonomous superposition operators map that space into itself and are locally bounded. Moreover, special attention is drawn to nonautonomous superposition operators generated by locally bounded mappings as well as to superposition operators generated by functions with separable variables.
Author Dariusz Bugajewski - University Adam Mickiewicz in Poznań
Dariusz Bugajewski,,
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, Daria Bugajewska - Adam Mickiewicz University (UAM)
Daria Bugajewska,,
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, Piotr Kasprzak - University Adam Mickiewicz in Poznań
Piotr Kasprzak,,
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, Piotr Maćkowiak (WIiGE / KEM)
Piotr Maćkowiak,,
- Department of Mathematical Economics
Journal seriesTopological Methods in Nonlinear Analysis, ISSN 1230-3429, (A 35 pkt)
Issue year2016
Vol48
No2
Pages637-660
Publication size in sheets1.15
Keywords in Englishacting conditions; autonomous (nonautonomous) superposition operator; Lipschitz condition; locally bounded mapping; variation in the sense of Jordan
ASJC Classification2603 Analysis; 2604 Applied Mathematics
DOIDOI:10.12775/TMNA.2016.070
URL http://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2016.070
Languageen angielski
Score (nominal)35
Score sourcejournalList
ScoreMinisterial score = 30.0, 20-12-2019, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 20-12-2019, ArticleFromJournal
Publication indicators WoS Citations = 2; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.68; WoS Impact Factor: 2016 = 0.667 (2) - 2016=0.744 (5)
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