Guorong Hu

I am an Associate Professor at Department of Mathematics, Jiangxi Normal University. Currently I am on my 1-year visit to Ghent Analysis & PDE Centre under the support of a CSC (Chinese Scholarship Council) grant. My research interest lies in function spaces on classical and non-classical settings, multipliers, Fourier analysis on Euclidean spaces and Lie groups.

Education:
Mar. 2015  PhD in Mathematics, The University of Tokyo, Japan
Advisor: Prof. Hitoshi ARAI
June 2009  MS in Mathematics, University of Science and Technology of China, P. R. China
Advisor: Prof. Bin XU
June 2006  BS in Mathematics, Northeast Normal University, P. R. China

Faculty position：
Jan. 2021 – Dec. 2021   Visiting Scholar, Ghent Analysis & PDE Centre, Belgium
Jan. 2019 – now        Associate Professor, Jiangxi Normal University, China
June 2015 – Dec. 2018   Lecturer, Jiangxi Normal University, China

Publications and preprints:

  1. Q. Hong, G. Hu and M. Ruzhansky, Fourier multipliers for Hardy spaces on graded Lie groups, arXiv:2101.07499.
  2. P. Chen, M. G. Cowling, G. Hu and J. Li, Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in $\mathbb{C}^{2n}$, Mathematische Zeitschrift, accepted, arXiv:2011.13260.
  3. Hong and G. Hu, Continuous characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators, Manuscripta Mathematica, accepted, arXiv:1902.05686.
  4. Q. Hong and G. Hu, Equivalent quasi-norms in Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth, J. Math. Anal. Appl. 495 (2021), 124769, 20pp.
  5. Q. Hong and G. Hu, Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces, Comm. Pure Appl. Anal. 18 (2019), 3103-3120.
  6. G. Hu, Littlewood-Paley characterization of Hölder-Zygmund spaces on stratifified Lie groups, Czechoslovak Math. J. 69 (2019), 131-159
  7. X. T. Duong, G. Hu and J Li, Equivalence of Littlewood-Paley square function and area function characterizations of weighted product Hardy spaces associated to operators, J. Math. Soc. Japan 71 (2019), 91-115.
  8. G. Hu, Spectral multipliers on exponentially locally doubling metric measure spaces, Ann. Mat. Pura Appl. 197 (2018), 1151-1173.
  9. G. Hu and J. Li, Boundedness of singular integrals on the flflag Hardy spaces on Heisenberg groups, J. Math. Anal. Appl. 460 (2018), 618-633.
  10. G. Hu, Littlewood-Paley characterization of weighted Hardy spaces associated with operators, J. Aust. Math. Soc. 103 (2017), 250-267.
  11. G. Hu, Maximal Hardy spaces associated to nonnegative self-adjoint operators, Bull. Aust. Math. Soc. 91 (2015), 286-302.
  12. G. Hu, Besov and Triebel-Lizorkin spaces associated with non-negative self-adjoint operators, J. Math. Anal. Appl. 411 (2014), 753-772.
  13. G. Hu, Littlewood-Paley characterization of weighted anisotropic Hardy spaces, Taiwanese J. Math. 17 (2013), 675-700.