应数学与统计学院邀请，安徽师范大学王定怀副教授将为我院师生作学术报告。
报告题目：Properties and applications of partial multiple weights for fractional integrals
报告摘要：Through the introduction of partial multiple weights, we firstly study the related Rubio de Francia extrapolation theorem within the framework of partial Muckenhoupt classes. Especially, the extrapolation theorem for two types of non-diagonal estimates is derived, which fills an interesting gap in the classical extrapolation theory. Secondly, we establish some weighted estimates for fractional integrals associated with partial Muckenhoupt weights. As applications, several basic inequalities (including the Fefferman-Phong inequality, the degenerate Poincar\'{e} inequalityand the Caffarelli-Kohn-Nirenberg inequality) related to partial Muckenhoupt weights are derived. Meanwhile, our results can give the characterization of the commutators of fractional integrals, which yields a partial answer to an open question proposed by D. Cruz-Uribe in the paper [D. Cruz-Uribe, Two weight inequalities for fractional integral operators and commutators, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2017, 25-85]. The talk is based on joint work with Prof. Huicheng Yin.
报告时间：2025年7月10日8：00
报告地点：致勤楼C101会议室
邀 请 人：逯光辉副教授
届时欢迎广大师生参与交流！
报告人简介
王定怀，副教授，主要从事调和分析方向的奇异积分算子理论和偏微分方程方向的流体稳定性理论的研究. 主持国家自然科学基金青年项目1项，安徽省自然科学基金青年项目1项, 安徽省教育厅高校项目重点项目1项. 在Nonlinearity, Studia Math., Banach J. Math., JMAA，中国科学（数学）等国内外重要期刊上发表文章近40篇。
数学与统计学院
甘肃省数学与统计学基础学科研究中心
2025年7月6日
