应学院邀请，中国矿业大学（北京）吴新峰教授将来美高梅官网作学术报告。
报告题目：Weighted norm inequalities for singular integral operators controlled by different norms
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.
报告时间：2024年10月23日 14：00
报告地点：致勤楼（教学9号楼）B311
邀 请 人：孙小春 教授
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吴新峰， 中国矿业大学（北京）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 。
甘肃省数学与统计学基础学科研究中心
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