报告题目 (Title):与薛定谔算子相关的BLO空间和Marcinkiewicz积分算子
报告人 (Speaker):高文华 教授(北京师范大学文理学院)
报告时间 (Time):2025年7月12日(周六)16:00
报告地点 (Place):校本部 GJ303
邀请人(Inviter):赵发友 教授
主办部门:理学院 数学系
报告摘要:Let L be the Schrodinger operator with potential V satisfying the reverse Holder inequality. The BMO and BLO style spaces are related to the Schrodinger operator, and we give a characterization of BLO_L. Several operators, including natural maximal operators, the Hardy-Littlewood maximal operator, and the maximal Riesz transform, are bounded from BMO_L to BLO_L. We also consider the Marcinkiewicz function associated with the Schrodinger operator and discuss its L^p, BMO_L, and BLO_L estimates.