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Research
Harmonic Analysis

Brief Introduction of DENG, Qingquan

Time: 2016-07-28  Author:   ClickTimes:
DENG, Qingquan
Chinese Version  (中文版)          
Basic Info
  • Name: Qingquan Deng

  • Addressim体育: Department of Mathematics, Huazhong Normal University,152 Luoyu Street, Wuhan, China, 430079

  • E-mail: dengq@mail.forageandfodder.com

  • Date of birth: September 26, 1983

  • Nationalityim体育: People’s Republic of China

Academic Degrees
  • Ph.Din mathematics, Beijing Normal University, Beijing, China. 2012    

    • thesis adviser: professor yong ding

    • im体育 thesis title: the applications of harmonic analysis method in    the study of higher order differential operators

     

     

  • M.S.im体育in mathematics, Huazhong Normal University, Wuhan, China. 2009    

    • thesis advisers: professors yinbin deng and xiaohua yao

    • thesis title: l^p-l^q estimates for a class of pseudo- differential equations and its applications

     

     

  • B.A.im体育in mathematics, Huazhong Normal University, Wuhan, China. 2006

Research Interests
  • Harmonic analysis: the Hardy spaces and its application, oscillatory integrals

  • Partial differential equations: dispersive equations, fractional dissipative equations

  • Differential operators: higher order elliptic operators, Schrödinger operators

Scholastic and Professional Experience
  • teaching assistant, department of mathematics, huazhong normal university, wuhan, china, 9.2007-1.2009.

  • teaching assistant, the school of mathematics, beijing normal university, beijing, china, 9.2009-1.2010.

  • visiting scholar, department of mathematics, the university of wisconsin at milwaukee, usa, 9.2010-9.2011.

  • im体育 lecturer, department of mathematics, huazhong normal university, wuhan, china, 9.2012-.

Attended Conferences
  • im体育 the harmonic analysis and complex analysis international conference, 8-10 june 2008, fujian normal university, fuzhou, china.

  • im体育 international conference on harmonic analysis and partial differential equation with application, 27-30 may 2009, beijing normal university, beijing, china.

  • international conference on harmonic analysis and approximation theory, 20-23 november 2009, beijing normal university, beijing, china.

  • analysis and applications: stein conf. may 2011, princeton university, usa.

  • international conference on harmonic analysis and partial differential equation, 16-20 may 2012, nanjing university, nanjing, china.

  • im体育 international conference on harmonic analysis and its application. 11-16, oct. 2012, zhejiang normal university, jinhua, china.

Invited Talk:
  • International Conference on Harmonic Analysis and its applications, Haikou, China, Jan. 2013, Characterizations of Hardy space associated to higher order elliptic operators.

Relevant Research Projects
  • the project nsfc(no. 10931001) about harmonic analysis and its application organized by professor yong ding.

  • the project srfdp (no. 2009000310018) organized by professor yong ding.

  • the project nsfc (no. 10801057) organized by professor xiaohua yao.

  • the key project of chinese ministry of education (no. 109117) organized by professor xiaohua yao.

  • the china postdoctoral science foundation (no.2012m521442).

Publications
Refereed publications
    • L^p-L^q estimates for a class of pesudo-differential equations and its applications(with X. Yao), Acta Mathematica Sinica (English Series) 7 (2011), 1435-1448.

    • Estimates on Fractional Power Dissipative Equations in Function Spaces(with J. Chen, Y. Ding and D. Fan), J. Nonlinear Analysis. 75 (2012), 2959-2974.

    • Characterizations of Hardy spaces associated to higher order elliptic operators(with Y. Ding and X. Yao), Journal of Functional Analysis 263 (2012), 604-674.

    • Estimate for Generalized Unimodular Multipliers on Modulation spaces(with Y. Ding and L. Sun), J. Nonlinear Analysis 85 (2013) 78–92.

    • Maximal and minimal forms for generalized Schrödinger operator(with Y. Ding and X. Yao),Indiana University Mathematics Journal, to appear.

    • Gaussian bounds for higher-order elliptic differential operatorsof Katotypepotentials (with Y. Ding and X. Yao), Journal of Functional Analysis,266 (2014),5377–5397.

 

 

  • Submitted and manuscripts in preparation
     

  • The L^q estimates of Riesz transform associated to Schrödinger operator(with Y. Ding and X. Yao), submitted.

  • Riesz transform associated to higher order Schrödinger type operators(with Y. Ding and X. Yao), Preprint.

  • The Hardy spaces theory associated to higher order Schrödinger type operatorsim体育(with Y. Ding and X. Yao), Preprint.

  • BMO and VMO spaces associated with higher order divergence elliptic operators(with Y. Ding and X. Yao), Preprint.

  • H^p-H^q estimates for a class of dispersive equation and related application(with Y. Ding and D. Fan), Preprint.

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