Abstract
We characterize superposition Nemytskii operators, which map the Banach algebra of functions of n real variables with finite total variation in the sense of Vitali, Hardy and Krause into itself and satisfy the global Lipschitz condition. Our results extend previous results in this direction by Matkowski and Mis in [Math. Nachr. 117 (1984) 155-159] for n = 1 and the author in [Monatsh. Math. 137(2) (2002) 99-114] for n = 2. (c) 2005 Elsevier Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 1-22 |
| Number of pages | 22 |
| Journal | Nonlinear Analysis-Theory Methods & Applications |
| Volume | 63 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1-Oct-2005 |
Keywords
- functions of several variables
- finite total variation
- Banach algebra property
- superposition operator
- Lipschitz condition