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Series Lectures on functional analysis were given at RCNS!

2018年09月29日 20:22 Dong YB 点击:[]

学术报告:Compact linear combinations of composition operators on Bergman space

报告人简介:王茂发, 武汉大学数学与统计学院教授, 博士生导师. 主要研究方向是泛函分析及其应用, 特别在函数空间上的算子理论方面取得了丰硕的系列成果。多次承担国家高技术发展计划(863计划)项目、国家基金委重点、面上和教育部等项目, 已在J Funct Anal、Math Z、Indiana Uni J Math、J Math Anal Appl、J Operator Theory、Arch Math (Basel)、Banach J. Math. Anal、Complex Var Elliptic Equ、Complex Anal. Oper. Theory 、Ann. Funct. Anal、Sci. China Math.等国际著名期刊上发表SCI学术论文50余篇。
报告题目:Compact linear combinations of  composition operators on Bergman space
报告摘要:Motivated by the question of Shapiro and Sundberg raised in 1990, study on linear combinations of composition operators has been a topic of growing interest. In this talk, we announce complete characterizations for the compactness of any finite linear combination of composition operators with general symbols on the weighted Bergman spaces in two classical terms: one is a function theoretic characterization of Julia-Carath´eodory type and the other is a measure theoretic characterization of Carleson type. Our approach is completely different from what have been known so far.

学术报告:Some progresses on noncommutative ergodic theory

报告人简介:洪桂祥,武汉大学数学与统计学院副教授,国家青年千人计划入选者。本科毕业于南昌航空大学数学与信息科学学院,2007年考入北京师范大学攻读硕士,师从调和分析专家丁勇教授。2009年在国家公派项目的支持下,赴法国弗朗什-孔泰大学,跟随非交换鞅论奠基人之一许全华教授攻读博士,研究方向为“非交换调和分析及相关领域”,并于2012年6月获得博士学位。2012年9月,通过严格地筛选与激烈竞争(在全球范围内,从81位候选人中挑选3位),获得了Severo-Ochoa杰出项目的支持,在西班牙国家科学院数学科学研究所从事了3年的博士后研究。自2015年9月,洪桂祥加盟武汉大学数学与统计学院,至今在Communications in Mathematical Physics, Analysis and PDE, Journal of Functional Analysis,Revista Matematica Iberoamericana和International Mathematics Research Notices等国际重要数学期刊上发表了多篇论文。
报告题目:Some progresses on noncommutative ergodic theory
报告摘要:In this talk, I shall first give a historical review on the ergodic theory associated to group actions. Then I shall present our recent works on noncommutative ergodic theory. Bases on a joint work with Benben Liao and Simeng Wang.

学术报告:Vector valued q-variation inequalities for singular integrals and ergodic averages

报告人简介:马涛, 武汉大学数学与统计学院副教授, 主要从事调和分析和Banach 空间几何学理论的研究, 承担有国家科学基金面上项目,  已在 J. Funct. Anal., Math. Z., Annali di Matematica Pura ed Applicata, J. Math. Anal. Appl. 和 Sci. China Math.  等国内外学术期刊上发表多篇学术论文。
报告题目:Vector valued q-variation inequalities for singular integrals and ergodic averages
报告摘要:Variation inequalities have been the subject of many recent research papers in probability, ergodic theory and harmonic analysis. In this talk, I would mainly introduce our recent study for Vector valued q-variation inequalities for differential operators, singular integrals and ergodic averages, etc. These results generalize many classical inequalities in harmonic analysis and ergodic theory. Some results of the quantitative and sharp weighted bounds for the $A_p$ theorem to the q-variation of $\omega$-Calderon-Zygmund operators will also be mentioned.

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