Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation
We give a necessary and sufficient condition on a function h:R→R under which the nonlinear composition operator H, associated with the function h, Hu(t)=h(u(t)), acts in the space κΦBV[a,b] and satisfies a local Lipschitz condition.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/606307 |