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Calderon’s commutator on stratified lie groups
- 来源：
- 学校官网
- 收录时间：
- 2026-04-05 14:13:36
- 时间：
- 2023-11-13 14:40:00
- 地点：
- 七教7215
- 报告人：
- 陈艳萍
- 学校：
- 北京交通大学
- 关键词：
- Calderon's commutator, stratified Lie groups, weak Schatten class, Lp boundedness, double operator integrals
- 简介：
- Motivated by the recent work of Gimperlein and Goffeng on Calderon’s commutator on compact Heisenberg type manifolds and the related weak Schatten class estimates, we establish the characterisation of Lp boundedness for Calderon’s commutator on stratified Lie groups. We further study related weak Schatten class estimates for second order commutators on two step stratified Lie groups, which include the Heisenberg groups. This latter result is obtained using double operator integral techniques which are novel in this area.
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报告介绍：
Motivated by the recent work of Gimperlein and Goffeng on Calderon’s commutator on compact Heisenberg type manifolds and the related weak Schatten class estimates, we establish the characterisation of Lp boundedness for Calderon’s commutator on stratified Lie groups. We further study related weak Schatten class estimates for second order commutators on two step stratified Lie groups, which include the Heisenberg groups. This latter result is obtained using double operator integral techniques which are novel in this area.
报告人介绍：
陈艳萍，东北大学数学与交叉科学中心主任，教授，博士生导师。2009年获得全国优秀博士学位论文提名奖，2011年入选教育部“新世纪优秀人才支持计划”， 2023年获北京高校优质本科教材奖，2023年获教育部自然科学二等奖，2025年获国家自然科学基金青年基金项目（A类）。主要研究方向是调和分析，在A PDE、TAMS.、JFA、RMI、SCM等国内外知名杂志上发表学术论文多篇。
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