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彭丽华,教学方面,承担了本科生高等数学、线性代数、概率论、数理统计等教学任务。科研方面,主要从事泛函分析与鞅论方向的研究工作,现已发表SCI论文8篇,研究成果发表于《Studia Math.》、《中国科学》、《Statist. Probab. Lett.》等ESI期刊上。现主持1项国家自然科学青年基金和1项湖南省自然科学青年基金。 科研项目 [1]弱型BMO 鞅空间和John-Nirenberg 不等式 [2]弱型BMO鞅空间与John-Nirenberg定理,在研,彭丽华

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[1]Jiao, Yong; Peng, LiHua; Liu, PeiDe.Interpolation for weak Orlicz spaces with MΔ condition:Sci. China Ser. A,2008,51(11):2072–2080 [2].Weak type inequalities on Lorentz martingale spaces:Statist. Probab. Lett.,2009,79(14) [3]Jiao, Yong; Peng, Lihua.Weak type inequalities for vector-valued martingales:Statist. Probab. Lett.,2010(80) [4]Peng, Lihua; Li, Junping.A generalization of Φ-moment martingale inequalities:Statist. Probab. Lett.,2015(102) [5]Jiao, Yong; Wu, Lian; Peng, Lihua.Weak Orlicz-Hardy martingale spaces:Internat. J. Math.,2015,26(8) [6]Peng, Lihua; Jiao, Yong.The minimal operator and the John-Nirenberg theorem for weighted grand Lebesgue spaces:Studia Math.,2015,229(3) [7]Liu, Kaituo; Zhou, Dejian; Peng, Lihua.A weak type John-Nirenberg theorem for martingales:Statist. Probab. Lett.,2017(122):190–197 [8]Wu, Qingfang; Zhou, Dejian; Peng, Lihua.Martingale inequalities on Hardy-Lorentz-Karamata spaces:J. Math. Inequal.,2019,1(13):135-146

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