Nonautonomous superposition operators in the spaces of functions of bounded variation
Dariusz Bugajewski , Daria Bugajewska , Piotr Kasprzak , Piotr Maćkowiak
AbstractThe 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.
|Journal series||Topological Methods in Nonlinear Analysis, ISSN 1230-3429, (A 35 pkt)|
|Publication size in sheets||1.15|
|Keywords in English||acting conditions; autonomous (nonautonomous) superposition operator; Lipschitz condition; locally bounded mapping; variation in the sense of Jordan|
|Score|| = 30.0, 20-12-2019, ArticleFromJournal|
= 35.0, 20-12-2019, ArticleFromJournal
|Publication indicators||= 2; : 2016 = 0.68; : 2016 = 0.667 (2) - 2016=0.744 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.