厦门大学数学学院师资队伍
School of Mathematical Sciences Xiamen University
师资队伍

Dongyong Yang (杨东勇)

Education

  • 2007.09-2010.07,  Ph. D. in Basic Mathematics,                                          Beijing Normal University          
  • 2004.09-2007.07,   M. Sc. Basic Mathematics,                                              Beijing Normal University        
  •  2000.09-2004.07,  B. Sc. in Mathematics and Applied Mathematics,           Beijing Normal University        

Academic Experiences

  • Professor, School of Mathematical Sciences, Xiamen University, 2018.12--present      
  • Associate Professor, School of Mathematical Sciences, Xiamen University, 2013.08--2018.11
  • Assistant Professor, School of Mathematical Sciences, Xiamen University, 2010.07--2013.07

Teaching

  • Caculus,
  • Engineering Mathematics,
  • Real Analysis

Research Interest

Harmonic Analysis

 Research Projects

  • Some topics on differential operators and weighted theory of function spaces,
    2020.1-2023.12, National Natural Science Foundation of China (No. 11971402)
  • Real-variable theory of function spaces with non-doubling measures and their applications, 2016.1-2019.12, National Natural Science Foundation of China (No. 11571289)
  • Hardy spaces on non-homogeneous metric measure spaces and applications, 2013.1-2015.12, Natural Science Foundation of Fujian Province (No. 2013J01020),
  • Function spaces associated with magnetic Schrodinger operators and Bessel operators and their applications, 2012.1-2014.12, National Natural Science Foundation of China (No. 11101339)


Published Book

The Hardy Space $H^1$ with Non-doubling Measures and Their Applications, with Da. Yang and G. Hu, Lecture Notes in Mathematics 2084, Springer-Verlag, Berlin,
2013, xiii+653 pp.


Selected Published Papers:

1. Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrodinger operators, with Da. Yang and Y. Zhou, Potential Anal., 30(2009), 271-300.

2. A new characterization of $RBMO(\mu)$ by John-Stromberg sharp maximal functions, with G. Hu and Da. Yang, Czech. Math. J., 59(2009), pp. 159-171.

3. Endpoint estimates for homogeneous Littlewood-Paley $g$-functions with non-doubling measures, with Da. Yang, J. Funct. Spaces Appl., 7(2009), 187-207.

4. $h^1$, $bmo$, $blo$ and Littlewood-Paley $g$-functions with non-doubling measures, with G. Hu and Da. Yang, Rev. Mat. Iberoam., 25(2009), 595-667.

5. Characterizations of localized $\bmo(R^n)$ via commutators of localized Riesz transforms and fractional integrals associated to Schrodinger operators, with Da. Yang,Collect. Math., 61(2010), 65-79.

6. Localized BMO and BLO spaces on $RD$-spaces and applications to Schrodinger operators, with Da. Yang and Y. Zhou, Commun. Pure Appl. Anal., 9(2010), 779-812.

7. Localized Morrey-Campanato spaces on metric measure spaces and applications to Schrodinger operators,  with Da. Yang and Y. Zhou, Nagoya Math., 198 (2010), 77-119.

8. BMO-estimates for maximal operators via approximations of the identity with non-doubling measures, with Da. Yang,  Canad. J. Math. 62 (2010), 1419-1434.

9. Boundedness of linear operators via atoms on Hardy spaces with non-doubling measures, with Da. Yang, Georgian Math. J., 18 (2011), 377-397.

10. Real-variable characterizations of Hardy spaces associated with Bessel operators, with Da. Yang,  Anal. Appl. (Singap.), 9 (2011), 345-368.

11. Atomic Hardy-type spaces between $H^1$ and $L^1$ on metric spaces with non-doubling measures, with L. Liu and Da. Yang, Acta Math. Sin. (Engl. Ser.), 27 (2011), 2445-2468.

12. Boundedness of Calderon-Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations, with S. Liu and Da. Yang, J. Math. Anal. Appl., 386 (2012), 258-272.

13. The Hardy space $H^1$ on non-homogeneous metric spaces, with T. Hytonen and Da. Yang, Math. Proc. Cambridge Philos. Soc., 153(1),  9-23, 2012.

14. Boundedness of Calderon-Zygmund operators on non-homogeneous metric measure spaces, with  T. Hytonen, S. Liu and Da. Yang, Canad. J. Math., 64(2012), 892-923.

15. Maximal function characterizations of Hardy spaces associated with magnetic Schrodinger operators, with R. Jiang and Da. Yang, Forum Math., 24 (2012), 471-494.

16. An interpolation theorem for sublinear operators on non-homogeneous metric measure spaces, with H. Lin, Banach J. Math. Anal.,  6 (2012), 168-179.

17. Hardy spaces associated with magnetic Schrodinger operators on strongly Lipschitz domains, with Da. Yang, Nonlinear Anal., 75 (2012), 6433-6447.

18. Boundedness of Calderon-Zygmund operators with finite non-doubling measures, with Da. Yang, Front. Math. China, 8 (2013), 961-971.

19. The Hardy space $H^1$ on non-homogeneous spaces and its applications|a survey, with X. Fu and Da. Yang, Eurasian Math. J., 4 (2013), 104-139.

20. The molecular characterization of the Hardy space $H^1$ on non-homogeneous metric measure spaces and its application, with X. Fu and Da. Yang, J. Math. Anal. Appl., 410 (2014), 1028-1042.

21. Hardy spaces Hp over non-homogeneous metric measure spaces and their applications, with X. Fu, H. Lin and Da. Yang, Sci. China Math., 58 (2015), 309-388.

22  Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated with magnetic Schr¨odinger operators, with Da. Yang, Front. Math. China, (10) 2015, 1203-1232.

23  Boundedness of commutators of Riesz transforms associated with magnetic Schrodinger operators, Math. Inequal. Appl., (19), 2016, 173-184.

24  Oscillation and variation for semigroups associated with Bessel operators, with Huoxiong Wu and Jing Zhang, J. Math. Anal. Appl., 443 (2016) 848-867.

25 An equivalent characterization of BMO with gauss measure, with Zhehui Wang, Front. Math. China 12 (2017), 749–768.

26  Hardy spaces via factorization, and BMO spaces via commutators in the Bessel setting, with Xuan Thinh Duong, Ji Li and Brett D. Wick, Indiana Univ. Math. J., 66 (2017), 1081-1106.

27 Pointwise multipliers on BMO spaces with non-doubling measures, with Wei Li and Eiichi Nakai, Taiwanese J. Math., 22 (2018), 183-203.

28 Equivalent characterizations of weighted compactness of commutators via CMO(Rn), with Huoxiong Wu, Proc. Amer. Math. Soc., 146 (2018), 4239-4254.

29 Compactness of Riesz transform commutator associated with Bessel operators, with Xuan Thinh Duong, Ji Li, Suzhen Mao and Huoxiong Wu, J. Anal. Math., 135 (2018), 639-673.

30 Little bmo, little h1, and weak factorization, with Xuan Thinh Duong, Ji Li and Brett D. Wick, Ann. Inst. Fourier (Grenoble), 68 (2018), 109-129.

31 Product BMO, little BMO and Riesz commutators in the Bessel setting, with Xuan Thinh Duong, Ji Li, Yumeng Ou and Brett D. Wick, J. Geom. Anal., 28 (2018), 2558-2601.

32 Compactness of Riesz transform commutator associated with Bessel operators on Morrey spaces, with Suzhen Mao and Huoxiong Wu, Anal. Appl., 17 (2019) 145-178.

33 Two weight Commutators in the Dirichlet and Neumann Laplacian settings, with Xuan Thinh Duong, Ji Li, Irina Holmes and Brett D. Wick, J. Funct. Anal. 276(2019), 1007-1060.

34 Characterizations of product Hardy spaces associated with Bessel Schr¨odinger operator, with Jorge J. Betancor, Xuan Thinh Duong, Ji Li and Brett D. Wick,Indiana Univ. Math. J. 68 (2019),      247-289.


35 Oscillation and variation for Riesz transform associated with Bessel operators, with Huoxiong Wu and Jing Zhang, Proc. Roy. Soc. Edinburgh Sect. A, 149 (2019), 169–190.

36 Boundedness and compactness characterizations of the Cauchy integral commutators on Morrey spaces, with Jin Tao and Dachun Yang, Math. Methods Appl.Sci., 42 (2019), 1631–1651.

 

 
 
 
简介
 
系别:
数学与应用数学系
办公室:536
教师:杨东勇
职称:教授
职务:教师
Phone:0592-2580680
Email:
dyyang@xmu.edu.cn
研究方向:
调和分析