报告专家：伍火熊（厦门大学）

报告题目：Characterizations of certain weighted BMO(Rn) via commutators

报告地点：腾讯会议 ID：106664064

报告时间:  2023年10月19日下午15:30

报告简介：It is well-known that BMO(Rn) 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 H1(Rn) to L1(Rn). In this talk, we will introduce that there are certain weighted BMO(Rn), which are nontrivial proper subclass of BMO(Rn), such that commutators generated by singular integrals and related operators with a function belonging to these subclass are bounded from weighted Hp(Rn) to weighted Lp(Rn), or weighted Hp(Rn) 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麦考瑞大学和美国威斯康辛大学密尔沃基分校各访学一年。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。