YAN Lixin
PH.D., Sun Yat-sen (Zhongshan) University, 1996
M.S., Sun Yat-sen (Zhongshan) University, 1993
B.S., Jilin University, 1990

YAN Lixin did his undergraduate study at Jinlin University, and completed his Ph.D. in Mathematics at Sun Yat-sen (Zhongshan) University in 1996 under the supervision of Donggao Deng. After that, he took a faculty position at Sun Yat-sen University, where he was promoted to professor in 2004. He spent five years as a Research Fellow at Macquarie University in Australia and two years as a FRG Fellowship at Missouri-Columbia in USA. Prof. Yan was one of persons supported by Program for New Century Excellent Talents in University in 2006; the National Funds for Outstanding Young Scientists in 2009; and the 1000-100-10 Talent Program of Guangdong Province (national level) in 2010.

Harmonic Analysis, Operator Theory and Partial Differential Equations: Singular integrals, function spaces associated to differential operators, boundary value problems for partial differential equations,heat kernel bounds and functional calculi of elliptic partial differential operators.

Selected Publications: 
1) Calderón reproducing formulas and new Besov spaces associated with operators (with H.Q. Bui and X.T. Duong), Adv. Math. 229 (2012), no. 4, 2449–2502.
2) Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates (with S. Hofmann, G.Z. Lu, D. Mitrea and M. Mitrea), Mem. Amer. Math. Soc. 214 (2011), no. 1007.
3) Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers (with X.T. Duong and A. Sikora), J. Funct. Anal. 260 (2011), no. 4, 1106–1131.
4) Multilinear operators with non-smooth kernels and commutators of singular integrals (with X.T. Duong and L. Grafakos), Trans. Amer. Math. Soc. 362 (2010), no. 4, 2089–2113.
5) Comparison of the classical BMO with the BMO spaces associated with operators and applications (with D.G. Deng, X.T. Duong and A. Sikora), Rev. Mat. Iberoam. 24 (2008), no. 1, 267–296.
6) Duality of Hardy and BMO spaces associated with operators with heat kernel bounds (with X.T. Duong), J. Amer. Math. Soc. 18 (2005), no. 4, 943–973.
7) New function spaces of BMO type, the John-Nirenberg inequality, interpolation, and applications (with X.T. Duong), Comm. Pure Appl. Math. 58 (2005), no. 10, 1375–1420.
8) Littlewood-Paley functions associated to second order elliptic operators, Math. Z. 246 (2004), no. 4, 655–666.