数学

程美芳

编辑:数学与统计学院 预审:费明稳 终审:芮先红 发布时间:2016-09-09

一、个人简介

程美芳,教授,硕士生导师。2009年博士毕业于南开大学(导师:张震球教授),2015年3月至2015年9月在台湾中央大学访学,(导师:林钦诚教授)。目前主要从事调和分析及其应用方面的研究。E-mail:cmf78529@ahnu.edu.cn。

二、获奖情况

2017年度安徽省教学成果奖一等奖

2019-2020学年度安徽师范大学本科生就业工作先进个人

2023年全国大学生市场调查与分析大赛安徽省三等奖

三、主持或参与的科研项目

1.国家自然科学基金青年项目:Wiener共合空间上奇异积分性质的研究(11201003), 2013.1-2015.12,主持

2.安徽省高等学校自然科学研究重点项目:奇异积分算子在加权调幅空间上性质的研究(KJ2012A133),2012.1-2014.5,主持

3.安徽省高等学校自然科学研究重大项目:偏微分方程在供应链系统中的应用(KJ2017ZD27),2017.1-2019.12,主持

4.安徽省高等学校自然科学研究一般项目:积分算子交换子及Radon变换的性质研究(KJ2008B244),2008.1-2010.12,主持

5.安徽师范大学青年基金项目:Marcinkiewicz积分算子及其交换子的有界性(2007xqn50),2007.1-2009.12,主持

6.国家自然科学基金面上项目:多参数奇异积分算子的加权有界性(11771223),2018.1-2021.12,参与

四、科研论文

[1] Cheng M., Xu H.,Fractional integral operator with rough kernel on Bourgain-Morrey spaces, accepted

[2] Cheng M., Xu H. Shu L., Singular integral operator with rough kernel and its commutator on Bourgain-Morrey spaces, International Journal of Wavelets, Multiresolution and Information Processing, 2026, 24(2), 2650001.

[3] 程美芳,刘慧慧,肖诚诚,Mapping Properties of Certain Oscillatory Integral on Lebesgue and Wiener Amalgam Spaces. 数学年刊(A), 2022, 43(3): 301-312.

[4] Cheng M., Lin C., Qu M., Characterization of Besov spaces associated with Parabolic Sections, J. Math. Anal. Appl. 2021, 497, 124871.

[5] Cheng M., Lee M., Lin C., and Qu M., Monge–Ampère singular integral operators acting on

Triebel–Lizorkinspaces, Applicable Analysis, 2021, 100(5):923-963.

[6] 程美芳,孙伟,束立生,一类振荡积分算子在Wiener共合空间上的有界性. 数学年刊(A),2018, 39(2): 113-126.

[7] Cheng M., Liu H., Sun A., Mapping properties of certain oscillatory integrals on modulation spaces. Acta Mathematica Sinica, 2017, 33(12): 1647-1658.

[8] Cheng M., Singular Convolution Operators on Wiener Amalgam Spaces, International Journal of Wavelets, Multiresolution and Information Processing, 2015, 13(1):1-11.

[9] Cheng M., Zhang Z., Strongly singular convolution operators on Modulation spaces, International Journal of Wavelets, Multiresolution and Information Processing, 2011, 9: 759-772.

[10] Cheng M., Zhang Z., Average decay estimates for Fourier transforms of measure supported on homogeneous hypersurfaces,Acta Mathematica Scientia (Series A), 2011, 31(1):76-81.

[11] Cheng M., Zhang Z., Hypersingular integrals along homogeneous curves on Modulation spaces, Acta Mathematica Sinica (Series A), 2010, 53(3): 531-540.

[12] Cheng M., Zhang Z., Hypersingular integral along hypersurface on modulation spaces, Acta Mathematica Scientia (Series A), 2010, 30(4):959-967.

[13] Cheng M., Shu L., Boundedness of the commutator of Marcinkiewicz integral on Hardy space and Herz-type Hardy space, Acta Mathematica Scientia (Series A),2008, 28(2):222-231.

[14] Cheng M., Shu L., Lp Mixed-norm estimates for convolution operator defined by singular measures, Analysis in Theory and Applications, 2008, 24(1):50-54.

[15] Zhang Z., Cheng M., Lp estimates for singular Radon transforms with rough kernels, Chinese Annals of Mathematics (Series B), 2008 , 29:155-164.

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