Campanato space via quantum Markov semigroup

：洪桂祥（武汉大学）
：2022-12-13 10:15
：腾讯会议ID：125-238-418（无密码）

报告人：洪桂祥（武汉大学）

时  间：12月13日上午10:15-11:45

地  点：腾讯会议ID：125-238-418（无密码）

内容摘要:

In this talk, I shall present the theory of Campanato spaces associated with quantum Markov semigroups on finite von Neumann algebras. One main result is that the column semigroup Campanato space is surprisingly completely isomorphic to the row one, which should have not been expected in noncommutative analysis, since the essential difference between the column space and the row space have been verified in many cases such as Hardy spaces and BMO spaces etc. The approach by identifying both of the spaces with semigroup Lipschitz space sheds new light on classical theory of harmonic analysis and function spaces. Also this identification happens to provide a positive answer to one open problem. Based on a joint work with Yuanyuan Jing.

个人简介：

洪桂祥，武汉大学数学与统计学院教授，国家高层次四青人才。博士毕业于法国弗朗什－孔泰大学，研究方向为调和分析与非交换分析及相关领域，已在Duke Math. J., Memoirs AMS., Math. Ann., Comm. Math. Phys., Anal. PDE, J. Funct. Anal.，Rev. Mat. Iberoam., Int. Math. Res. Not. 等国际重要数学期刊上发表论文20多篇。

 

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