Paper Publications

• [21]Jianfeng Dong, Yu Liu,The higher order Riesz transform and $BMO$ type space associated to Schr"{o}dinger operators, Math. Nachr. 285（4）, 2012，486-496. (SCI).
• [22]Lin Chincheng, Lin yingchieh, Liu Heping, Liu Yu, Bilinear operators associated with Schrödinger operators, Studia Math. 205(3), 2011, 281-295. (SCI).
• [23]Liu yu, Huang jizheng, Lp estimates for the Schr¨odinger type operators, Appl. Math. J. Chinese Univ.series B, No.4, 2011, 412-424.(SCI).
• [24]刘宇，具有非负位势的薛定谔型算子的估计，数学物理学报. 2011. No.3,611-619..
• [25]Jun Cao, Yu Liu, Dachun Yang, Hardy spaces H^1_L associated with Schrodinger type operator (-Δ)^2+V^2, Houston J. Math. No.4, 2010, 1067-1095. (SCI).
• [26]Yu Liu，The Weighted Estimates of the Schr"{o}dinger Operators on the Nilpotent Lie Group，数学研究与评论，No.6, 2010, 1023-1031..
• [27]Yu Liu, Riesz transform associated with Schrodinger operators on the Heisenberg group, 数学进展， No.4, 2010. 453-459..
• [28]Yu Liu, Jianfeng Dong, Some estimates of higher order Riesz transform related to Schrodinger type operators. Potential Analysis, No.1, 2010, 41-55. (SCI).
• [29]Yu Liu, Jizheng Huang, Dongmei Xie, Some estimates of Schrodinger type operators on the Heisenberg group, Archiv der Mathematik. No.3, 2010, 255-264. (SCI).
• [30]Yu Liu, L^p estimates for Schrodinger type operators on the Heisenberg group. Journal of Korean Mathematical Society. No.3, 2010,425-443. (SCI).