Abstract
We introduce the martingale local Morrey spaces. We establish the Doob's inequality, the Burkholder–Gundy inequality and the boundedness of the martingale transforms to martingale local Morrey spaces defined on complete probability spaces. Copyright © 2024 The Author(s), under exclusive licence to Akadémiai Kiadó, Budapest, Hungary.
| Original language | English |
|---|---|
| Pages (from-to) | 312-322 |
| Journal | Acta Mathematica Hungarica |
| Volume | 174 |
| Early online date | Nov 2024 |
| DOIs | |
| Publication status | Published - Dec 2024 |
Citation
Ho, K.-P. (2024). Doob's inequality, Burkholder–Gundy inequality and martingale transforms on martingale local Morrey spaces. Acta Mathematica Hungarica, 174, 312-322. https://doi.org/10.1007/s10474-024-01485-0Keywords
- Doob's inequality
- Burkholder–Gundy inequality
- Martingale transform
- Local Morrey space
- Martingale space