应304am永利集团官网耿俊教授和杨四辈教授邀请,中国矿业大学(北京)吴新峰教授将于2024年10月22日-23日访问兰州大学并于10月22日下午作学术报告,欢迎全校师生参加.

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

时 间：2024年10月22日(星期二)15:00;

地 点：理工楼518.

报告摘要：To characterize composition operators arising in study of $\bar{\partial}$-Neumann problem, Nagel, Ricci, Stein and Wainger introduced and studied two classes of kernels $P(E)$ and $P_0(E)$, and studied their $L^p, 1<p<\infty$ regularity properties. We introduce a new maximal function associated with a sub-collection of product rectangles. This maximal function is used to obtain precise control on the kernels in $P(E)$ and $P_0(E)$ and to build the new class of weights in this multiparameter situation. Weighted Hardy and local Hardy spaces are then introduced and boundedness of convolution operators with $P_0(E)$- and $P(E)$-kernels are derived in these spaces. Applications to product kernels of Phong-Stein type are presented. This is based on joint work with Lei Ji, Der-Chen Chang, Yongsheng Han, and Dunyan Yan.

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报告人简介

吴新峰,中国矿业大学(北京)数学系教授、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,主持或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.等知名学术期刊发表多篇论文.

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2024年10月21日