报告题目：Optimal distribution estimates for commutators and Marcinkiewicz multipliers

报告人：Dmitriy Zanin

报告时间：2025年4月18日、22日下午14：30-17：00

报告地点：数学与统计院235智慧教室

报告摘要：The talk introduces the distributional estimates for (i) commutators with Calder\'{o}n-Zygmund integral operators; (ii) Marcinkiewicz multipliers; (iii) Littlewood-Paley square function, via semigroup $\{\mathscr{C}^{\alpha}\}_{\alpha>0}$ generated by Ces\`{a}ro operator. In each of the cases (i)-(iii) we obtain new estimates of the distribution of elements in the range of the underlying operators in terms of the distribution function of the input function.

个人简历：Dmitriy Zanin 博士, 澳大利亚新南威尔士大学, 高级讲师, 在Adv. Math., J. Reine Angew. Math., Amer. J. Math.等国际期刊发表学术论文100多篇.