# Weighted endpoint estimates for singular integral operators associated with zygmund dilations

Yongsheng Han, Ji Li, Chin Cheng Lin, Chaoqiang Tan, Xinfeng Wu

## 摘要

The main purpose of this paper is to study multi-parameter singular integral operators which commute with Zygmund dilations. We develop the theory of the weighted multi-parameter Hardy space H z,w p and prove the boundedness for these operators on H z,w p for certain p ≤ 1, which provide endpoint estimates for those singular integral operators studied by Ricci-Stein [31] and Fefferman-Pipher [15]. We also establish the Calderón-Zygmund decomposition and interpolation theorem in this setting.

原文 ???core.languages.en_GB??? 375-408 34 Taiwanese Journal of Mathematics 23 2 https://doi.org/10.11650/tjm/181203 已出版 - 4月 2019