報告題目：Weighted norm inequalities for singular integral operators controlled by different norms

　　報告人：吳新峰教授（北京礦業大學）

　　時間：2024年12月11 日 14:00-16:00

　　地點：騰訊會議：431-325-193

　　摘要：Nagel, Ricci, Stein and Wainger introduced and studied two classes of kernels, which locally characterize the kernels of the composition operators arising in the $\bar{\partial}$-Neumann problem in complex analysis. We introduce and study a maximal function associated with a sub-collection of product rectangles. This maximal function is used to obtain precise control on the above kernels, and to build a new class of weights in this multi-parameter situation. Weighted Hardy and local Hardy spaces are then introduced and boundedness of convolution operators with these kernels are derived. This is based on joint work with Dr Lei Ji, Professors Der-Chen Chang, Yongsheng Han and Dunyan Yan.

　　報告人簡介：

　　吳新峰，中國礦業大學（北京）理學院教授、博導。博士畢業于北京師范大學，美國堪薩斯大學博士后。主要從事調和分析及應用研究, 主持和參與了多個國家自然科學基金項目, 在 IMRN、Trans. Amer. Math. Soc.、Math. Res. Lett.、Math. Z.等期刊發表多篇論文，受到多位國際著名數學家(如Wolf獎得主Elias Stein)的關注和引用。