题目：An extension of Hilbert transform to hyperbolic groups
报告人：梅韬 (Baylor University)
摘要: The classical Hilbert transform has a natural analogue on the nonabelian free groups by decomposing the free group into disjoint subsets according to the first letter of the reduced words. Mei and Ricard prove that such a transform (decomposition) is unconditional with respect to the noncommutative Lp norm associated with the free group von Neumann algebras for all 1<p<\infty. I plan to talk about a possible extension of the Lp unconditionality of such “transforms” to the general hyperbolic groups.
时间：07月17日（星期三）16:30-17:30
地点：正心楼24
报告人简介: Dr. Mei is a Professor of Mathematics at Baylor University. Prior to joining Baylor, he taught at Wayne State University (2010-2015) and the University of Illinois at Urbana-Champaign (2006-2010). He obtained his Ph.D. at Texas A&M University in 2006 under the supervision of Gilles Pisier. Prof. Mei’s primary research interests lie in analysis and probability. He is recognized as one of the leading experts in noncommutative analysis, with a series of papers published in journals such as Duke Math. J., J. Eur. Math. Soc., Geom. Funct. Anal. Additionally, he authored a monograph in Mem. Amer. Math. Soc. His academic contributions include foundational work in operator-valued Hardy and BMO theory, noncommutative Riesz transforms and Hilbert transforms, and the Mikhlin multiplier theory on group algebras.
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