Notes on Bi-parameter Paraproducts
Functional Analysis
2026-05-01 v2
Abstract
In this note, we investigate the sharpness of existing bounds for various types of bi-parameter paraproducts acting between product Hardy spaces in the dyadic setting. We show that these bounds are sharp in most cases but fail to be so in one particular instance.
Keywords
Cite
@article{arxiv.2511.02789,
title = {Notes on Bi-parameter Paraproducts},
author = {Shahaboddin Shaabani},
journal= {arXiv preprint arXiv:2511.02789},
year = {2026}
}