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Paper Publications
[11]Yu Liu; Jielai Sheng, Some estimates for commutators of Riesz transforms associated with Schrödinger operators. J.Math.Anal.Appl.419(2014),no.1, 298–328.(SCI).
[12]Yu Liu, Jielai Sheng, and LijuanWang, Weighted Endpoint Estimates for Commutators of RieszTransforms Associated with Schrödinger Operators. Abstract and Applied Analysis,Volume 2013, Article ID 281562, 10 pages.(SCI).
[13]Yu Liu, Jianfeng Dong, The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups, Journal of Function Spaces and Applications Volume 2013 (2013), Article ID 483951, 13 pages.(SCI).
[14]Yu Liu, Jizheng Huang, Jianfeng Dong, An estimate on the heat kernel ofSchrödinger operators with non-negative potentials on nilpotent Lie groups and its applications, Forum Mathematicum, 27(2015), 1773-1798.(SCI).
[15]Yu Liu, Jizheng Huang, Jianfeng Dong, Lp estimates for higher-order parabolic Schrodinger operatorswith certain nonnegative potentials, Bull. Malays. Math. Sci. Soc.37(2014),no.1,153–164. (SCI).
[16]Jizheng Huang, Yu Liu, The boundedness of multilinear Calderon-Zygmund operators on Hardy spaces, PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2013.3(123), 383-392.(SCI).
[17]Yu Liu, Jizheng Huang, JIanfeng Dong, Commutators of Calder´on-Zygmund operatorsrelated to admissible functions on spaces of homogeneous type and applications toSchr¨odinger operators, Sci.China Math. 2013, 56(9): 1895-1913. (SCI).
[18]Yu Liu, Lijuan Wang, Jianfeng Dong, Commutators of Higher Order Riesz Transform Associated withSchrödinger Operators,Jour.Function spaces Appl. Volume 2013, Article ID 842375, 15 pages. (SCI).
[19]Yu Liu, Jianfeng Dong, Some estimates for the Schr¨odinger type operators with nonnegative potentials, Archiv der Mathematik. Vol.98, 2012, 467-475. (SCI).
[20]Yu Liu,Commutators of BMO functions and degenerate Schrödinger operators with certain nonnegative potentials, Monatsh Math. Vol. 165, 2012, 41-56. (SCI).
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