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arXiv · 2511.02789

Notes on Bi-parameter Paraproducts

Shahaboddin Shaabani
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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.

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Shahaboddin Shaabani. 2025-11-04. Notes on Bi-parameter Paraproducts. https://arxiv.org/abs/2511.02789

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