Yanping Chen

Professor
office location:Physical and Chemical Building 202B
E-mail:yanpingch@126.com
Research Interests:

Harmonic analysis and its application.

Resume

2014. 07-present: Professor, Department of Applied Mathematics, University of Science and Technology Beijing (USTB), China; 

2007. 08-2014. 07: Associate professor, Department of Applied Mathematics, University of Science and Technology Beijing (USTB), China; 

2013. 01-2014. 01: Visiting scholar, Department of Mathematics, University of Missouri Columbia, USA; 

2004. 09-2007. 07: PhD, Department of Mathematical Sciences, Beijing Normal University, China.


Scientific research achievements

Since 2007, I have published more than 60 academic papers in well-known journals at home and abroad, such as Anal. &PDE, Trans. Amer. Math. Soc., J. Funct. Anal., Rev. Mat. Iberoam., J. Goem. Anal., Canada. J. Math., Potential Analysis, Nonlinear Anal-Theor, J. Math. Anal. Appl., Forum Math., Studia Math., Science in China: Series A Math., etc.

I presided over a number of research grants:

1) The NNSF of China, Grant No. 11471033, “Kato square root operator and fractional differential operator related problems”, 2015. 01-2018. 12;

2) Supported by Program for New Century Excellent Talents in University, Grant No. NCET-11-0534, “Boundedness of singular integral operator, oscillatory singular integral, Littlewood-Paley operator and fractional integral”, 2012. 01-2014. 12;

3) The Fundamental Research Funds for the Central Universities, Grant No. FRF-TP-12-006B, “Commutator of singular integral and its application”, 2012. 01-2015. 06;

4) The NNSF of China (Youth fund), Grant No. 10901017, “Variable kernel singular integral operators and related problems”, 2010. 01-2012. 12;

5) The NNSF of China (Tianyuan fund for Mathematics), Grant No. 10826046, “Oscillatory singular integral operators and super-singular integral commutators with variable kernels”, 2009. 01-2009. 12.


Enrollment plan

   1 PhD student and 2 Master students per year.

Representative papers

1. Yanping Chen, Yong Ding and Guixiang Hong, Commutators with fractional differentiation and new characterizations of BMO-Sobolev spaces, Analysis & PDE , 2016, 6(9): 1497-1522

2. Yanping Chen and Yong Ding, L^p bounds for the commutators of singular integrals and Maximal singular integrals with rough kernels,Trans. Amer. Math. Soc., 2015,367(3): 1585-1608

3. Yanping Chen, Yong Ding, Guixiang Hong and Honghai Liu, Weighted jump and variational inequalities for rough operators, Journal of Functional Analysis, 2018, 274(8): 2446-2475

4. Yanping Chen and Yong Ding, L^2 boundedness for commutator of rough singular integral with variable kernel, Rev. Mat. Iberoam., 2008, 24(2): 531-547

5. Yanping Chen and Yong Ding, Gradient Estimates for Commutators of Square Roots of Elliptic Operators with Complex Bounded Measurable Coefficients,J. Geom. Anal., 2017, 27(1): 466-491

6. Yanping Chen ,Yong Ding and Ran Li, L^2 boundedness for maximal commutators with rough variable kernels, Rev. Mat. Iberoam., 2011, 27(2): 361-391

7. Yanping Chen, Yong Ding and Xinxia Wang, Compactness of commutators for singular integrals on Morrey spaces, Canad. J. Math., 2012, 64(2): 257-281

8. Yanping Chen and Yong Ding, Rough singular integrals on Triebel-Lizorkin space and Besov space, J. Math. Anal. Appl.,2008, 347 (2): 493-501

9. Yanping Chen and Yong Ding, Necessary and sufficient conditions for the bounds of the Calderón type commutator for the Littlewood-Paley operator, NONLINEAR ANAL-THEOR., 2016, 130(X): 279-297

10. Yanping Chen and Kai Zhu, Weighted norm inequality for the singular integral with variable kernel and fractional differentiation,J. Math. Anal. Appl., 2015, 423(2): 1610-1629

11. Yanping Chen and Yong Ding, Sharp bounds for the commutators with variable kernels of fractional differentiations and BMO Sobolev spaces, Nonlinear Anal-Theor., 2015, 116(X): 85-99

12. Yanping Chen and Yong Ding, Lp boundeness of the commutators of Marcinkiewicz integrals with rough kernels, Forum Math., 2015, 27(4): 2087-2112

13. Yanping Chen, Xinfeng Wu and Honghai Liu, Vector-valued inequalities for the commutators of fractional integrals with rough kernels, Studia Math., 2014, 222(2): 97-122

14. Yanping Chen, Yong Ding and Ran Li, The boundedness for commutator of fractional integral operator with rough variable kernel, Potential Analysis, 2013, 38(1): 119-142

15. Yanping Chen, Yong Ding and Ran Li, The boundedness for commutators of maximal hypersingular integrals with rough kernels, Science in China:Series A Math. 2013,56(4): 707-728

16. Yanping Chen and Yong Ding, The boundedness for commutators of a class of maximal hypersingular integrals with variable kernels, Nonlinear Anal-Theor., 2011, 74(15): 4918-4940

17. Yanping Chen, Yong Ding* and Honghai Liu, Rough singular integrals supported on submanifolds, J. Math. Anal. Appl.,2010, 368 (2): 677-691

18. Chen Yanping and Ding Yong*, Compactness of the commutators of parabolic singular integrals, Science in China:Series A Math. 2010, 53(10): 2633-2648

19. Yanping Chen, Yong Ding* and Honghai Liu, Rough singular integrals supported on submanifolds, J. Math. Anal. Appl., 2010, 368 (2): 677-691

20. Yanping Chen* and Yong Ding, Boundedness for commutator of rough hypersingular integrals with variable kernels,Mich. Math. J., 2010, 59(1): 189-210

21. Yanping Chen, Yong Ding* and Xinxia Wang, Compactness of Commutators of Riesz Potential on Morrey Spaces, Potential Analysis, 2009, 30(4): 301-313

22. Chen Yanping and Ding Yong*, Commutators of Littlewood-Paley operators, Science in China:Series A Math.2009, 52(11): 2493-2505

23. Yanping Chen* and Yong Ding, Boundedness of commutators of Marcinkiewicz integral with rough variable kernel, Integr. equ. oper. theory, 2008, 61(4): 477-492

24. Yanping Chen, Yong Ding* and Fan Dashan, A parabolic singular integral operator with rough kernel,J. Aust. Math. Soc(A), 2008, 84(2): 163-179

25. Yanping Chen and Yong Ding*, L^p bounds for the commutator of parabolic singular integral with rough kernels,Potential Analysis, 2007, 27(4): 313-334

Postgraduate training

  • School of Chemistry and Biological Engineering, USTB
  • 30 Xueyuan Road, Haidian District, Beijing,100083