Abstract
In this paper, we establish some factorization theorems for weighted Cesaro and Copson spaces, obtain two sided norm dynamic inequalities, and give conditions for the boundedness of the Hardy and Copson dynamic operators on the weighted space L-lambda(p)(T). We obtain, as special cases, the classical integral inequalities on R and the discrete inequalities on N.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 915-936 |
| Number of pages | 22 |
| Journal | Bulletin Of The Brazilian Mathematical Society |
| Volume | 51 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Nov 2019 |
Keywords
- Cesàro spaces
- Copson spaces
- Factorization
- Hardy’s dynamic operator
- Lebesgue spaces
- Time scales
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Saker, SH,Abuelwafa, MM,O'Regan, D,Agarwal, RP