亿万先生MR

与薛定谔算子有关的BLO空间和Marcinkiewicz积分算子

2025.07.07

投稿:邵奋芬部门:理学院浏览次数:

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汇报标题 (Title):与薛定谔算子有关的BLO空间和Marcinkiewicz积分算子

汇报人 (Speaker):高文华 教授(北京师范大学文理学院)

汇报功夫 (Time):2025年7月12日(周六)16:00

汇报地址 (Place):校本部 GJ303

约请人(Inviter):赵发友 教授

主办部门:理学院 数学系

汇报提要: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.

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