Weighted endpoint estimates for singular integral operators associated with zygmund dilations

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

研究成果: 雜誌貢獻期刊論文同行評審

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.

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頁(從 - 到)375-408
頁數34
期刊Taiwanese Journal of Mathematics
23
發行號2
DOIs
出版狀態已出版 - 4月 2019

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