报告题目：Some results on flows with lower regularity and problems in composition of function spaces

报 告 人：蒋仁进教授（天津大学）

报告时间：2022年12月19日  10:00-11:00

报告地点：腾讯会议（236-717-897）

报告摘要：

In this talk, I shall report some results related to on quasi-conformal/ quasi-symmetric flows. I will first present some results on flows with lower regularity, and Riemann's result on flows of quasi-conformal mapping on R", n≥2, and its application to transport equation in BMO. Then I will report the case of the real line. More precisely, we prove that if a map b: R→R, has derivative in BMO, then it generates a flow with A∞ density. We also show the sharpness of the result and apply it to the transport problem in BMO. We shall also present some open problems related to this question.

报告人简介：

蒋仁进，天津大学应用数学中心教授，博士生导师，国家自然科学基金优秀青年基金获得者，入选天津市创新人才推进计划，曾获得欧盟玛丽居里基金资助和教育部自然科学奖二等奖。主要从事调和分析，几何函数论和非光滑分析等研究，在Comm. Pure Appl. Math., Adv. Math., Math. Ann., J. Math. Pures Appl.等国际著名期刊发表论文近40余篇。