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arXiv · 1708.05525

A class of singular integrals associated with Zygmund dilations

Yongsheng Han·Ji Li·Chin-Cheng Lin·Chaoqiang Tan
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Abstract

The main purpose of this paper is to study multi-parameter singular integral operators which commute with Zygmund dilations. We introduce a class of singular integral operators associated with Zygmund dilations and show the boundedness for these operators on $L^p, 1<p<\infty$, which covers those studied by Ricci--Stein \cite{RS} and Nagel--Wainger \cite{NW}

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Yongsheng Han, Ji Li, Chin-Cheng Lin, Chaoqiang Tan. 2017-08-18. A class of singular integrals associated with Zygmund dilations. https://arxiv.org/abs/1708.05525

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