赵发友

    赵发友，教授/数学系党总支书记

    邮箱：fyzhao@shu.edu.cn

    电话：021-66135302


    研究领域：调和分析及其应用


    教育经历：

    2007/9-2010/7， 北京师范大学， 数学学院， 博士

    2008/10-2009/10，University of Missouri-Columbia，数学系，博士生，国家留学基金委公派研究生项目


    工作经历：

    2020/3-至今，上海大学，数学系，教授

    2014/3-2020/2，上海大学，数学系，副教授

    2014/11-2015/11，University of Wisconsin-Milwaukee，数学系，访问学者，国家留学基金委青年骨干教师项目

    2012/7-2014/2，上海大学，数学系，讲师

    2010/7-2012/6，上海大学，数学系，博士后


    代表性科研项目：

    1. 国家自然科学基金面上项目, 11971295, 广义球面平均的若干问题, 2020-01至2023-12, 在研, 主持

    2. 国家自然科学基金青年基金项目, 11201287, 与Hardy算子相关的权函数的特征及其应用, 2013-01至2015-12, 已结题, 主持


    代表性学术论文：

    32. Liu, Rui; Zhao, Fayou* Boundedness of bilinear Dunkl-Hausdorff operators on products of Lebesgue and Morrey spaces. Integral Transforms Spec. Funct. 33 (2022), no. 9, 747–760.

    31. Zhou, Jing; Zhao, Fayou* Boundedness of the fractional Hardy-Littlewood maximal operator on weighted Morrey spaces. Anal. Math. Phys. 12 (2022), no. 4, Paper No. 87, 13 pp.

    30. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou* Bochner-Riesz means and K-functional on Triebel-Lizorkin spaces. Numer. Funct. Anal. Optim. 43 (2022), no. 3, 273–306.

    29. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou* Maximal estimates for an oscillatory operator. Nonlinear Anal. 218 (2022), Paper No. 112792, 24 pp.

    28. Chen, Jie Cheng; Fan, Da Shan; Zhao, Fa You* Approximation of the fractional Schrödinger propagator on compact manifolds. Acta Math. Sin. (Engl. Ser.) 37 (2021), no. 10, 1485–1496.

    27. Zhao, Fayou*; Zhou, Hongxiu Variation inequality for the two-dimensional discrete Hardy-Littlewood maximal function. Results Math. 76 (2021), no. 4, Paper No. 170, 17 pp.

    26. Zhao, Fayou*; Liu, Rui Sharp inequalities between Lp-norms for the higher dimensional Hardy operator and its dual. Math. Inequal. Appl. 24 (2021), no. 1, 275–289.

    25. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou Bochner-Riesz means on block-Sobolev spaces in compact Lie group. J. Aust. Math. Soc. 109 (2020), no. 2, 176–192.

    24. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou* On the rate of almost everywhere convergence of combinations and multivariate averages. Potential Anal. 51 (2019), no. 3, 397–423.

    23. Zhao, Fayou*; Ma, Liqin Higher-dimensional weighted Knopp type inequalities. Math. Inequal. Appl. 22 (2019), no. 2, 619–629.

    22. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou* Littlewood-Paley functions and Sobolev spaces. Nonlinear Anal. 184 (2019), 273–297.

    21. Fan, Dashan; Zhao, Fayou* Sharp constants for multivariate Hausdorff q-inequalities. J. Aust. Math. Soc. 106 (2019), no. 2, 274–286.

    20. Fan, Dashan; Zhao, Fayou* Certain bilinear operators on Morrey spaces. Hokkaido Math. J. 47 (2018), no. 1, 143–159.

    19. Fan, Dashan; Zhao, Fayou* Approximation properties of combination of multivariate averages on Hardy spaces. J. Approx. Theory 223 (2017), 77–95.

    18. Guo, Jiuhua; Zhao, Fayou* Some q-inequalities for Hausdorff operators. Front. Math. China 12 (2017), no. 4, 879–889.

    17. Fan, Dashan; Zhao, Fayou* Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means. Constr. Approx. 45 (2017), no. 3, 391–405.

    16. Fan, Dashan; Wu, Huoxiong; Zhao, Fayou* Transference of certain maximal Hilbert transforms on the torus. Pacific J. Math. 284 (2016), no. 2, 343–364.

    15. Gao, Guilian; Zhao, Fayou* Sharp weak bounds for Hausdorff operators. Anal. Math. 41 (2015), no. 3, 163–173.

    14. Guo, Jiu Hua; Sun, Li Jing; Zhao, Fa You* Hausdorff operators on the Heisenberg group. Acta Math. Sin. (Engl. Ser.) 31 (2015), no. 11, 1703–1714.

    13. Fan, Dashan; Zhao, Fayou* Product Hardy operators on Hardy spaces. Tokyo J. Math. 38 (2015), no. 1, 193–209.

    12. Zhao, Fayou*; Lu, Shanzhen The best bound for n-dimensional fractional Hardy operators. Math. Inequal. Appl. 18 (2015), no. 1, 233–240.

    11. Fan, Da Shan; Zhao, Fa You* Multilinear fractional Hausdorff operators. Acta Math. Sin. (Engl. Ser.) 30 (2014), no. 8, 1407–1421.

    10. Zhao, Fayou*; Fu, Zunwei; Lu, Shanzhen Mp weights for bilinear Hardy operators on Rn. Collect. Math. 65 (2014), no. 1, 87–102.

    9. Lu, Shanzhen; Yan, Dunyan; Zhao, Fayou* Sharp bounds for Hardy type operators on higher-dimensional product spaces. J. Inequal. Appl. 2013, 2013:148, 11 pp.

    8. Zhao, Fayou; Lu, Shanzhen A characterization of λ-central BMO space. Front. Math. China 8 (2013), no. 1, 229–238.

    7. Zhao, FaYou; Fu, ZunWei; Lu, ShanZhen Endpoint estimates for n-dimensional Hardy operators and their commutators. Sci. China Math. 55 (2012), no. 10, 1977–1990.

    6. Si, Zengyan; Zhao, Fayou* Necessary and sufficient conditions for boundedness of commutators of the general fractional integral operators on weighted Morrey spaces. Abstr. Appl. Anal. 2012, Art. ID 929381, 14 pp.

    5. Zhao, Fayou A note on commutators of Hardy operators. Math. Nachr. 285 (2012), no. 10, 1294–1298.

    4. Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou* Sharp bounds for m-linear Hardy and Hilbert operators. Houston J. Math. 38 (2012), no. 1, 225–244.

    3. Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. J. Funct. Anal. 262 (2012), no. 5, 2289–2313.

    2. Fu, ZunWei; Lu, ShanZhen; Zhao, FaYou Commutators of n-dimensional rough Hardy operators. Sci. China Math. 54 (2011), no. 1, 95–104.

    1. Lu, Shan Zhen; Zhao, Fa You CBMO estimates for multilinear Hardy operators. Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 7, 1245–1254.


    代表性论著：

    1. Shanzhen Lu, Zunwei Fu, Fayou Zhao, Shaoguang Shi, Hardy operators on Euclidean spaces and related topics, World Scientific Publishing Co. Pte. Ltd. 2023. 234 pp. ISBN: 978-981-125-367-6, https://doi.org/10.1142/12762.


    （最后更新日期：2022.10.20）

 版权所有 © 上海大学   沪ICP备09014157   沪公网安备31009102000049号  地址：上海市宝山区上大路99号    邮编：200444   电话查询
 技术支持：上海大学信息化工作办公室   联系我们   

浏览人数：

    赵发友

      赵发友，教授/数学系党总支书记

      邮箱：fyzhao@shu.edu.cn

      电话：021-66135302


      研究领域：调和分析及其应用


      教育经历：

      2007/9-2010/7， 北京师范大学， 数学学院， 博士

      2008/10-2009/10，University of Missouri-Columbia，数学系，博士生，国家留学基金委公派研究生项目


      工作经历：

      2020/3-至今，上海大学，数学系，教授

      2014/3-2020/2，上海大学，数学系，副教授

      2014/11-2015/11，University of Wisconsin-Milwaukee，数学系，访问学者，国家留学基金委青年骨干教师项目

      2012/7-2014/2，上海大学，数学系，讲师

      2010/7-2012/6，上海大学，数学系，博士后


      代表性科研项目：

      1. 国家自然科学基金面上项目, 11971295, 广义球面平均的若干问题, 2020-01至2023-12, 在研, 主持

      2. 国家自然科学基金青年基金项目, 11201287, 与Hardy算子相关的权函数的特征及其应用, 2013-01至2015-12, 已结题, 主持


      代表性学术论文：

      32. Liu, Rui; Zhao, Fayou* Boundedness of bilinear Dunkl-Hausdorff operators on products of Lebesgue and Morrey spaces. Integral Transforms Spec. Funct. 33 (2022), no. 9, 747–760.

      31. Zhou, Jing; Zhao, Fayou* Boundedness of the fractional Hardy-Littlewood maximal operator on weighted Morrey spaces. Anal. Math. Phys. 12 (2022), no. 4, Paper No. 87, 13 pp.

      30. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou* Bochner-Riesz means and K-functional on Triebel-Lizorkin spaces. Numer. Funct. Anal. Optim. 43 (2022), no. 3, 273–306.

      29. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou* Maximal estimates for an oscillatory operator. Nonlinear Anal. 218 (2022), Paper No. 112792, 24 pp.

      28. Chen, Jie Cheng; Fan, Da Shan; Zhao, Fa You* Approximation of the fractional Schrödinger propagator on compact manifolds. Acta Math. Sin. (Engl. Ser.) 37 (2021), no. 10, 1485–1496.

      27. Zhao, Fayou*; Zhou, Hongxiu Variation inequality for the two-dimensional discrete Hardy-Littlewood maximal function. Results Math. 76 (2021), no. 4, Paper No. 170, 17 pp.

      26. Zhao, Fayou*; Liu, Rui Sharp inequalities between Lp-norms for the higher dimensional Hardy operator and its dual. Math. Inequal. Appl. 24 (2021), no. 1, 275–289.

      25. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou Bochner-Riesz means on block-Sobolev spaces in compact Lie group. J. Aust. Math. Soc. 109 (2020), no. 2, 176–192.

      24. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou* On the rate of almost everywhere convergence of combinations and multivariate averages. Potential Anal. 51 (2019), no. 3, 397–423.

      23. Zhao, Fayou*; Ma, Liqin Higher-dimensional weighted Knopp type inequalities. Math. Inequal. Appl. 22 (2019), no. 2, 619–629.

      22. Chen, Jiecheng; Fan, Dashan; Zhao, Fayou* Littlewood-Paley functions and Sobolev spaces. Nonlinear Anal. 184 (2019), 273–297.

      21. Fan, Dashan; Zhao, Fayou* Sharp constants for multivariate Hausdorff q-inequalities. J. Aust. Math. Soc. 106 (2019), no. 2, 274–286.

      20. Fan, Dashan; Zhao, Fayou* Certain bilinear operators on Morrey spaces. Hokkaido Math. J. 47 (2018), no. 1, 143–159.

      19. Fan, Dashan; Zhao, Fayou* Approximation properties of combination of multivariate averages on Hardy spaces. J. Approx. Theory 223 (2017), 77–95.

      18. Guo, Jiuhua; Zhao, Fayou* Some q-inequalities for Hausdorff operators. Front. Math. China 12 (2017), no. 4, 879–889.

      17. Fan, Dashan; Zhao, Fayou* Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means. Constr. Approx. 45 (2017), no. 3, 391–405.

      16. Fan, Dashan; Wu, Huoxiong; Zhao, Fayou* Transference of certain maximal Hilbert transforms on the torus. Pacific J. Math. 284 (2016), no. 2, 343–364.

      15. Gao, Guilian; Zhao, Fayou* Sharp weak bounds for Hausdorff operators. Anal. Math. 41 (2015), no. 3, 163–173.

      14. Guo, Jiu Hua; Sun, Li Jing; Zhao, Fa You* Hausdorff operators on the Heisenberg group. Acta Math. Sin. (Engl. Ser.) 31 (2015), no. 11, 1703–1714.

      13. Fan, Dashan; Zhao, Fayou* Product Hardy operators on Hardy spaces. Tokyo J. Math. 38 (2015), no. 1, 193–209.

      12. Zhao, Fayou*; Lu, Shanzhen The best bound for n-dimensional fractional Hardy operators. Math. Inequal. Appl. 18 (2015), no. 1, 233–240.

      11. Fan, Da Shan; Zhao, Fa You* Multilinear fractional Hausdorff operators. Acta Math. Sin. (Engl. Ser.) 30 (2014), no. 8, 1407–1421.

      10. Zhao, Fayou*; Fu, Zunwei; Lu, Shanzhen Mp weights for bilinear Hardy operators on Rn. Collect. Math. 65 (2014), no. 1, 87–102.

      9. Lu, Shanzhen; Yan, Dunyan; Zhao, Fayou* Sharp bounds for Hardy type operators on higher-dimensional product spaces. J. Inequal. Appl. 2013, 2013:148, 11 pp.

      8. Zhao, Fayou; Lu, Shanzhen A characterization of λ-central BMO space. Front. Math. China 8 (2013), no. 1, 229–238.

      7. Zhao, FaYou; Fu, ZunWei; Lu, ShanZhen Endpoint estimates for n-dimensional Hardy operators and their commutators. Sci. China Math. 55 (2012), no. 10, 1977–1990.

      6. Si, Zengyan; Zhao, Fayou* Necessary and sufficient conditions for boundedness of commutators of the general fractional integral operators on weighted Morrey spaces. Abstr. Appl. Anal. 2012, Art. ID 929381, 14 pp.

      5. Zhao, Fayou A note on commutators of Hardy operators. Math. Nachr. 285 (2012), no. 10, 1294–1298.

      4. Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou* Sharp bounds for m-linear Hardy and Hilbert operators. Houston J. Math. 38 (2012), no. 1, 225–244.

      3. Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. J. Funct. Anal. 262 (2012), no. 5, 2289–2313.

      2. Fu, ZunWei; Lu, ShanZhen; Zhao, FaYou Commutators of n-dimensional rough Hardy operators. Sci. China Math. 54 (2011), no. 1, 95–104.

      1. Lu, Shan Zhen; Zhao, Fa You CBMO estimates for multilinear Hardy operators. Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 7, 1245–1254.


      代表性论著：

      1. Shanzhen Lu, Zunwei Fu, Fayou Zhao, Shaoguang Shi, Hardy operators on Euclidean spaces and related topics, World Scientific Publishing Co. Pte. Ltd. 2023. 234 pp. ISBN: 978-981-125-367-6, https://doi.org/10.1142/12762.


      （最后更新日期：2022.10.20）

 版权所有 © 上海大学   沪ICP备09014157   沪公网安备31009102000049号  地址：上海市宝山区上大路99号    邮编：200444   电话查询
 技术支持：上海大学信息化工作办公室   联系我们