On Functions of Bounded (p,k)-Variation
We introduce and study the concept of (p,k)-variation (1<p<∞, k∈N) of a real function on a compact interval. In particular, we prove that a function u:[a,b]→R has bounded (p,k)-variation if and only if u(k-1) is absolutely continuous on [a,b] and u(k) belongs to Lp[a,b]. Moreover, an explicit...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/202987 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|