1 results
LOCAL BOUNDEDNESS OF NONAUTONOMOUS SUPERPOSITION OPERATORS IN
$BV[0,1]$
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 92 / Issue 2 / October 2015
- Published online by Cambridge University Press:
- 08 July 2015, pp. 325-341
- Print publication:
- October 2015
-
- Article
-
- You have access
- Export citation
-
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
$BV[0,1]$ into itself, then it is automatically locally bounded, provided its generator is a locally bounded function.
