Abstract
We establish a vector-valued John–Nirenberg inequality for oscillations measured in a Banach function space (B.f.s.) norm. This inequality generalizes several existing results on John–Nirenberg inequalities on function spaces such as rearrangement-invariant B.f.s. and Lebesgue spaces with variable exponents. Moreover, this inequality also offers a new characterization of BMO in terms of the weighted vector-valued mean oscillation. Copyright © 2015 Springer Basel.
| Original language | English |
|---|---|
| Pages (from-to) | 257-270 |
| Journal | Results in Mathematics |
| Volume | 70 |
| Issue number | 1-2 |
| Early online date | Jul 2015 |
| DOIs | |
| Publication status | Published - Sept 2016 |
Citation
Ho, K.-P. (2016). Vector-Valued John–Nirenberg inequalities and vector-valued mean oscillations characterization of BMO. Results in Mathematics, 70(1-2), 257-270.Keywords
- John–Nirenberg inequalities
- Bounded mean oscillation
- Vector-valued inequalities
- Banach function spaces
- Extrapolation
- 42B35
- 46E30
- 42B25