数学学科2024系列学术报告之三十八

　　报告题目：Weighted norm inequalities for singular integral operators controlled by different norms

　　报告人：吴新峰教授（北京矿业大学）

　　时间：2024年12月11 日 14:00-16:00

　　地点：腾讯会议：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.

　　报告人简介：

　　吴新峰，中国矿业大学（北京）理学院教授、博导。博士毕业于北京师范大学，美国堪萨斯大学博士后。主要从事调和分析及应用研究, 主持和参与了多个国家自然科学基金项目, 在 IMRN、Trans. Amer. Math. Soc.、Math. Res. Lett.、Math. Z.等期刊发表多篇论文，受到多位国际著名数学家(如Wolf奖得主Elias Stein)的关注和引用。