Inequalities Associated to a Sequence of Dyadic Martingales
- 1 Tribhuvan University, Nepal
DOI: https://doi.org/10.3844/jmssp.2020.233.238
Copyright: © 2021 Santosh Ghimire. This is an open access article distributed under the terms of the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Abstract
In this article, we establish some inequalities associated to a sequence of dyadic martingales. These inequalities are sub-Gaussian type estimates. We derive the inequalities for a regular sequence of dyadic martingales and also for a tail sequence.
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Keywords
- Dyadic Martingales
- Square Function
- Tail Square Function