2023年第8期第74讲：伍火熊教授学术报告

广州数学大讲坛第八期

第七十四讲——厦门大学伍火熊教授学术报告

题目：Characterizations of certain weighted BMO via commutators

时间：2023年10月12日（星期四）下午3:30——4:30

地点：腾讯会议（会议ID：190-698-701，会议密码：231012）

报告人：伍火熊 教授

摘要：It is well-known that BMO can be characterized via the boundedness of commutators for singular integrals and related operators on the Lebesgue spaces and weighted Lebesgue spaces, and so on. However, the commutators of singular integrals with BMO functions may not be bounded from H^1 to L^1. In this talk, we will introduce that there are certain weighted BMO, which are nontrivial proper subclass of BMO, such that commutators generated by singular integrals and related operators with a function belonging to these subclass are bounded from weighted H^p to weighted L^p, or weighted H^p to itself, and the converse results related to certain special singular integral operators also hold.

报告人简介：

伍火熊，教授、博士生导师。2003年7月于北京师范大学博士毕业后到厦门大学数学科学学院工作至今，期间曾先后在澳大利亚Macquarie大学和美国Wisconsin-Milwaukee大学各访学一年。主要研究方向为调和分析，连续主持国家自然科学基金面上项目和福建省自然科学基金面向项目多项，已在包括J. Funct. Anal., J. Fourier Anal. Appl., J. Anal. Math., J. Differential Equations, Proc. Amer. Math. Soc., Sci. China Math.等国内外数学专业期刊发表论文140余篇。