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报告人：焦勇教授（中南大学新葡萄金国际娱乐）

时间： 2017.12.08 10:30-11:30

地点：理科楼LA106

摘要：The classical differential subordination of martingales, introduced by Burkholder in the eighties, is generalized to the noncommutative setting. Then, working under this domination, we establish the strong-type inequalities with the constants of optimal order as $p\to 1$ and $p\to \infty$, and the corresponding end-point weak-type (1,1) estimate. In contrast to the classical case, we need to introduce two different versions of noncommutative differential subordination, 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 is sufficient; on the other hand, the strong-type $(p,p)$ inequality, $1

学院联系人：黄辉斥