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LOcal Boundedness of Nonautonomous Superposition Operators in BV[0; 1]
Authors:
- Piotr Kasprzak,
- Piotr Maćkowiak
Abstract
The 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 into itself, then it is automatically locally bounded, provided its generator is a locally bounded function.
- Record ID
- UAM40c14e3990dd4a2bbf07b6e4ab37bd70
- Author
- Journal series
- Bulletin of the Australian Mathematical Society, ISSN 0004-9727
- Issue year
- 2015
- Vol
- 92
- No
- 2
- Pages
- 325-341
- ASJC Classification
- DOI
- DOI:10.1017/S0004972715000593 Opening in a new tab
- URL
- https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/local-boundedness-of-nonautonomous-superposition-operators-in-bv01/7ECCB9805A88092EC5AA2741E19A59A4 Opening in a new tab
- Language
- (en) English
- File
-
- File: 1
- local-boundedness-of-nonautonomous-superposition-operators-in-bv01.pdf
-
- Score (nominal)
- 20
- Score source
- journalList
- Score
- Publication indicators
- = 2; = 3; : 2015 = 0.763; : 2015 (2 years) = 0.566 - 2015 (5 years) =0.550
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM40c14e3990dd4a2bbf07b6e4ab37bd70/
- URN
urn:amu-prod:UAM40c14e3990dd4a2bbf07b6e4ab37bd70
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.