报告人：王斯萌
报告地点：人民大街校区数学与统计学院104
报告时间：2026年11月11日（星期三）14:00-15:00
邀请人：李春光、安庆楠
报告摘要：
In this talk, I will discuss ball Fourier multipliers on free group von Neumann al gebras and their connection with the geometry of the Poisson boundary. We prove that the ball Fourier multipliers on free groups, defined with respect to the natural word length, are uniformly bounded on the noncommutative analogue of Rubio de Francia's mixed radial–angular spaces Lp(L2) for 2/3 < p < 3. This range is sharp, as unboundedness for other values of p was established by Bożejko and Fendler. To this end, we relate the ball multipliers to radial Hardy–Littlewood maximal functions on weighted Lp spaces, which can be viewed as noncommutative analogues of restricted Kakeya maximal functions. As a key ingredient, we explicitly compute the noncommutative convolution kernel of the free radial Fourier multipliers via the Poisson boundary of the free group. The talk is based on joint work with A. Gonzalez, B. Lyu, J. Parcet, J. Pérez García and T. Zhao.
主讲人简介：
王斯萌，哈尔滨工业大学数学研究院教授。2016获法国弗朗什-孔泰大学与波兰科学院联合培养博士学位，随后在德国萨尔大学、法国巴黎萨克雷大学（原巴黎第十一大学）等任博士后及阿达马讲师等职位，2021年回国任哈尔滨工业大学教授。研究领域为泛函分析和算子代数，研究兴趣主要集中在冯诺依曼代数、非交换Lp空间、量子群等框架下的分析、概率及动力系统问题，以及上述内容在量子信息论中的应用。主要成果发表在Duke Math. J., Mem. Amer. Math. Soc., Comm. Math. Phys., Probab. Theory Related Fields, J. Funct. Anal., J. Lond. Math. Soc.等学术期刊。
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