Local Boundedness of Nonautonomous Superposition Operators in BV[0,1]
Piotr Kasprzak , Piotr Maćkowiak
AbstractThe main goal of this paper is to give the answer to one of the main problems of the theory of nonautonomous superposition operators acting in the space of functions of bounded variation in the sense of Jordan. Namely, we prove that if the superposition operator maps the space$BV[0,1]$into itself, then it is automatically locally bounded, provided its generator is a locally bounded function.
|Journal series||Bulletin of the Australian Mathematical Society, ISSN 0004-9727, (A 20 pkt)|
|Publication size in sheets||0.8|
|Keywords in English||acting conditions, locally bounded mapping, (nonautonomous) superposition operator, variation in the sense of Jordan|
|Score|| = 20.0, 23-12-2019, ArticleFromJournal|
= 20.0, 23-12-2019, ArticleFromJournal
|Publication indicators||= 2; : 2015 = 0.763; : 2015 = 0.566 (2) - 2015=0.55 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.