民族：苗　　 性别：男　

职称：教授 博士生导师  出生年月：1963年7月  

Email: liuzg@cumtb.edu.cn

一、个人履历：

 1979.09—1982.06 湖南怀化云顶yd222线路检测数学系学习

 1982.07—1987.08 湖南靖州县中学任教

 1987.09—1989.12 中南工业大学应用数学专业攻读硕士学位

 1990.01—1999.12 湖南怀化云顶yd222线路检测数学系任教（其中1996.09—1999.06在浙江大学基础数学专业攻读博士学位）

 2000.01—2001.12 北京师范大学数学系做博士后

 2002.01--         中国矿业大学(北京)工作

二、教学情况：

主讲过数学专业本科、研究生的分析类的多门课程，如《数学分析》、《复变函数》、《实变函数论》、《泛函分析》、《实分析》、《奇异积分基础》、《调和分析基础》等。2002年开始培养硕士研究生，2007年开始培养博士研究生

三、科研项目：

1.变指标函数空间上的调和分析理论及应用，教育部重点基金，2008.1—2010.12 ，负责

2.变指标函数空间若干问题的研究，国家自然科学基金面上项目，2012.1—2015.12 ，负责

3.多参数调和分析中的若干问题研究，教育部博士点基金，2013.1—2015.12， 负责

4.多参数变指标函数空间及其相关问题，国家自然科学基金面上项目，2017.01-2020.12，负责

5.多线性算子的Leibniz型法则和变差估计及相关问题，国家自然科学基金面上项目，2021.01-2024.12，主要成员

四、发表论文：

  1. 切向极大函数的弱型加权模不等式，湖南数学年刊，14(1993)42-45.

       2. 关于Vitali族的分数次极大算子的加权不等式，数学研究与评论， 15(1)(1995), 141-143.

       3. 分数次单边极大算子的加权弱型不等式，数学杂志，18(1)(1998),32-36.

       4. 齐型空间上的Herz空间及其应用，数学物理学报, 19(3),(1999), 270-277.

       5. Weak type inequalities for fractional maximal operator on weighted Orlicz space,Approximation Theory and its Applications, 15(4),(1999),64-70.

       6. Herz型空间中的分数次积分算子的弱型估计，数学学报, 42(5),(1999), 923-930.

       7. Herz型空间中的Littlewood-Paley g 函数，数学学报, 43(2),(2000), 359-366.

       8. Boundedness of commutators of fractional integration on Herz -type spaces, Acta Mathematica Scientia, 20B(4),(2000),461-470.

       9. Boundedness of commutators of Calderon-Zygmund singular integral operator on Herz-type spaces, 数学进展，30(5),(2001), 447-458.

      10. Endpoint estimates for commutators of Calderon-Zygmund type operators, Kodai Mathematical Journal, 25(1)(2002), 79-88.

      11.强奇异卷积算子交换子的Hardy 型空间估计, 数学学报, 46(3),(2003), 417-426.

      12．A note on the maximal commutator of the Bochner—Riesz operator, PanAmerican Mathematical Journal, 13(3),(2003),11-17.

      13. Continuity properties for the maximal operator associated with the commutator of the Bochner—Riesz operator. Publicacions Mathematiques,              47(1)，(2003), 45—69.

      14. Boundedness of commutators of strongly singular convolution operators on Herz—type spaces, Studia Mathematica, 157(1) (2003)33—46.

      15. Two-weight weak-type norm inequalities for the commutators of fractional integrals, Integral Equations and Operator Theory, 48(2004),397-409,

      16．Herz空间中的加权Hardy–Littlewood平均算子，数学学报，49 (2006)，1085—1090.

      17．N 维分数次 Hardy 算子交换子的特征, 中国科学A辑, 37(6) (2007), 651--659. (SCI)

      18. Boundedness for Commutators of Fractional Hardy Operators on Herz Spaces, Progress in Natural Science, 17 (2007), 20—25 .

      19. 一类 Marcinkiewicz 积分交换子的端点估计, 数学学报，51(2008),265—274.

      20. The Hardy spaces estimates for the commutator of Marcinkiewicz Integral, 数学研究与评论，29(1)(2009),137—145.

      21. CMO estimates for higher-order commutators of integral operators With rough kernels,Hokkaido Mathematical Journal, 38(2009), 137—151.

      22. Weighted Lipschitz estimates for commutators of singular integrals with rough kernels, Commun. Math. Anal. 7(2009), 73-80.

      23. Commutators of weighted Hardy operators on , Proc. Amer. Math. Soc., 137(2009), 3319—3328.

      24．齐型空间中分数次积分交换子的加权端点估计, 数学物理学报, 30 (2010), 922—931.

      25． Calderón–Zygmund 型算子及其交换子的有界性, 数学学报, 53 (2010), 541—550.

      26. Weighted estimates for the parametrized Littlewood –Paley operators, Front. Math. China, 6 (2011), 517—534.

      27. Weighted estimates for commutators of fractional integrals with homogenuous Kernels, Taiwanese J. Math. 15 (2011), 2689—2700.

      28. The wavelet characterization of Herz—type Hardy spaces with with variable exponents, Ann. Funct. Anal. 3 (2012), 128—141.

      29.变指标Lebesgue 空间上的Marcinkiewicz 积分高阶交换子，数学物理学报，32(2012),1092—1101.

      30. Multi—parameter Triebel—Lizorkin and Besov spaces associated with Zygmund dilation，Taiwanese J. Math. 17(2013), 2019—2037.

      31. Parameterized Littlewood-Paley operators and area integrals on weak Hardy spaces，Acta Math. Sinica(English Series)，29(2013), 1857—      1870, (SCI).

      32. Weighted Hardy spaces on spaces of homogeneous type with applications，Taiwanese J. Math. 18(2014), 559—574.

      33. Pointwise multiplies on spaces of homogeneous type in the sense of Coifman and Weiss, Abstract and Applied Analysis,  Vol.2014, Article ID    164624, 9 pages, (SCI).

       34.Smooth decompositions of Triebel-Lizorkin and Besov spaces on product spaces of homogeneous type, Journal of Function spaces, 2014, Article ID:396418 , 15 pages (SCI).

      35.Weighted multi-parameter non-isotropic flag Triebel-Lizorkin and Besov spaces, Communications in Mathematical Analysis, 16(2014), 74-88.

  36.齐次分数次积分算子在变指标函数空间上的有界性，数学学报，58（2015），309—320.

     37.Local Herz-type Hardy spaces with variable exponent, Banach J. Math. Anal. 9(4)(2015), 359-378. (SCI)

     38.Some characterizations of Herz-Type Hardy spaces with variable exponent. Ann. Funct. Anal.6(2)(2015), 224-233.

     39.Two-weight norm inequality for the one-sided Hardy-Littlewood maximal operators in variable exponent, Journal of Function Spaces, 2016. ID 1648281, 8 pages. (SCI)

     40.The Tb theorem for inhomogenous Besov and Tribel-Lizorkin spaces and its application, Georgian Mathematical Journal, 23(2) (2016), 253-267. (SCI)

     41.Weighted norm inequalities for multi-linear Calderon-Zygmund operator in generalized Morrey spaces, Journal of Inequalities and Applications, 2017, 48. 10 pages. (SCI)

     42.Boundedness of multilinear integral operators on generalized Morrey spaces, Advance of  Operator Theory, 2017, 2, 269-286.

     43.Weighted norm inequalities for bilinear flag Fourier multipliers, Studia Mathematica, 242(1)(2018) , 31-55. (SCI)

     44.Multiple weighted norm inequalities for commutators of multiliear Calderon- Zygmund and potential type operators, Jordan Journal of Mathematics and Statistics, 2018, 11(3), 211-228.

      45.变指标中心 BMO 空间，数学学报，61(4)(2018), 641-650.

  46.Atomic characterizations of Hardy space associated to Schrodinger type operaors, Advance in Operators Theory, 2019, 4(3), 604-624.

      47.Some estimates of Schrodinger type operators on variable Lebesgue and Hardy spaces, Banach Journal of Mathematical Analysis, 2020, 14, 336-360. (SCI)

  48.Commutators of singular integral operators and Lipschitz functions on amalgam spaces, Journal of Function Spaces, 2020. ID 4926328, 10 pages. (SCI)

      49.Boundness of singular integral operators on weak Herz type spaces with variable exponent. Annals of Functional Analysis, 2020, 11, 1108-1125. (SCI)

     50.Boundedness of some integral operators and commutators on homogeneous Herz spaces with three variable exponents, Front. Math. China, 16(1)(2021), 211-237. (SCI)