关于中南大学郭铁信教授、焦勇教授系列学术讲座报告的通知 2017-11-28 17:26 报告题目： Random functionalanalysis and its applications 报告人: 郭铁信教授 时间：2017年11月30日8:30-10:00 地点： 10号楼415会议室 报告简介：Random functionalanalysis can be regarded as functional analysis on random normed modules,random inner product modules and random locally convex modules,which has beensystematically developed under two kinds of topologies.This talk gives a briefintroduction to the theory with applications to mathematical finance andfunctional analysis. 报告题目： Noncommutativedifferentially subordinate martingales 报告人: 焦勇教授 时间：2017年11月30日10:00-11:30 地点： 10号楼415会议室 报告简介：The classical differential subordination of martingales, introducedby Burkholder in the eighties, is generalized to the noncommutative setting.Then, working under this domination, we establish the strong-type inequalitieswith the constants of optimal order as $p\to 1$ and $p\to \infty$, and thecorresponding end-point weak-type (1,1) estimate. In contrast to the classicalcase, we need to introduce two different versions of noncommutative differentialsubordination, depending on the range of the exponents. For the $L^p$-estimate,$2\leq p<\infty$ (the case of `big exponents'), a certain weaker version issufficient; on the other hand, the strong-type $(p,p)$ inequality,\$1