Multiplication between elements in Martingale Hardy spaces and their duals
Functional Analysis
2023-01-23 v1 Classical Analysis and ODEs
Probability
Abstract
In this paper, we establish continuous bilinear decompositions that arise in the study of products between elements in martingale Hardy spaces and functions in their dual spaces. Our decompositions are based on martingale paraproducts. As a consequence of our work, we also obtain analogous results for dyadic martingales on spaces of homogeneous type equipped with a doubling measure.
Cite
@article{arxiv.2301.08723,
title = {Multiplication between elements in Martingale Hardy spaces and their duals},
author = {Odysseas Bakas and Zhendong Xu and Yujia Zhai and Hao Zhang},
journal= {arXiv preprint arXiv:2301.08723},
year = {2023}
}