Dimension independent atomic decoposition for dyadic martingale $H^1$
Functional Analysis
2021-08-25 v1
Abstract
We introduce atoms for dyadic atomic for which the equivalence between atomic and maximal function defnitions is dimension independent. We give the sharp, up to factor, estimates for the norm estimates for the special maximal function.
Keywords
Cite
@article{arxiv.2108.10621,
title = {Dimension independent atomic decoposition for dyadic martingale $H^1$},
author = {Maciej Paluszynski and Jacek Zienkiewicz},
journal= {arXiv preprint arXiv:2108.10621},
year = {2021}
}