楊四輩

楊四輩，男，博士，蘭州大學數學與統計學院教授。

基本介紹

• 中文名：楊四輩
• 學位/學歷：博士
• 職業：教師
• 專業方向：調和分析
• 任職院校：蘭州大學數學與統計學院

人物經歷

教育經歷

2004/09--2008/06, 北京師範大學, 本科/學士;

2008/09--2013/09, 北京師範大學, 博士(導師: 楊大春教授);

2011/12--2012/01, 訪問德國Jena大學.

工作經歷

2013/07—— 蘭州大學數學與統計學院, 講師, 副教授, 青年教授

2018/09--2019/09, 德國Jena大學(Friedrich-Schiller-Universität Jena)訪問

研究方向

調和分析、函式空間及其套用

主講課程

承擔本科生專業課《實變函式》、《複變函數》《高等數學》、《機率論與數理統計》等課程以及研究生《現代偏微分方程基礎》、《Fourier Analysis》等課程.

學術成果

學術論文

[1] Sibei Yang and D. Yang, Lp Neumann problem for some Schrödinger equations in (semi-)convex domains, Commun. Contemp. Math. (2019)，

[2] Sibei Yang and D. Yang, Atomic and maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators on spaces of homogeneous type, Collect. Math. 70(2019), 197-246.

[3] Sibei Yang, D. Yang and W. Yuan, The Lp Robin problem for Laplace equations in Lipschitz and (semi-)convex domains, J. Differential Equations 264(2018), 1348-1376.

[4] Sibei Yang, D.-C. Chang, D. Yang and Z. W. Fu, Gradient estimates via rearrangements for solutions of some Schrödinger equations, Anal. Appl. (Singap.) 16(2018), 339-361.

[5] Sibei Yang, Necessary and sufficient conditions for the solvability of the Neumann and the Regularity problems in Lp of some Schrödinger equations on Lipschitz domains, Potential Anal. 49(2018), 527–554.

[6] Y. Sawano, K.-P. Ho, D. Yang and Sibei Yang, Hardy spaces for ball quasi-Banachfunctionspaces, Dissertationes Math. (Rozprawy Mat.) 525(2017), 102 pp.

[7] Sibei Yang, Global boundedness of the gradient for a class of Schrödinger equations, Nonlinear Anal. 152(2017), 102-115.

[8] J. Cao, D.-C. Chang, D. Yang and Sibei Yang, Riesz transform characterizations of Musielak-Orlicz-Hardy spaces, Trans. Amer. Math. Soc. 368(2016), 6979-7018.

[9] D. Yang and Sibei Yang, Regularity for inhomogeneous Dirichlet problems of some Schrödinger equations on domains, J. Geom. Anal. 26(2016), 2097-2129.

[10] D. Yang and Sibei Yang, Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators satisfying Gaussian estimates, Commun. Pure Appl. Anal. 15(2016), 2135-2160.

[11] Sibei Yang, The Neumann problem of Laplace's equation in semiconvex domains, Nonlinear Anal. 133(2016), 275-291.

[12] T. A. Bui, F. K. Ly and Sibei Yang, Second-order Riesz transforms associated with magnetic Schrödinger operators, J. Math. Anal. Appl. 437(2016), 1196-1218.

[13] D.-C. Chang, Z. W. Fu, D. Yang and Sibei Yang, Real-variable characterizations of Musielak-Orlicz-Hardy spaces associated with Schrödinger operators on domains, Math. Meth. Appl. Sci. 39(2016), 533-569.

[14] Sibei Yang, Isomorphisms and several characterizations of Musielak-Orlicz-Hardy spaces associated with some Schrödinger operators, Czechoslovak Math. J. 65(2015), 747-779.

[15] D. Yang and Sibei Yang, Second-order Riesz transforms and maximal inequalities associated to magnetic Schrödinger operators, Canad. Math. Bull. 58(2015), 432-448.

[16] Sibei Yang, Some estimates for Schrödinger type operators on Musielak-Orlicz-Hardy spaces, Taiwanese J. Math. 18(2014), 1293-1328..

[17] D. Yang and Sibei Yang, Musielak-Orlicz Hardy spaces associated with operators and their applications, J. Geom. Anal. 24(2014), 495-570.

[18] J. Cao, D.-C. Chang, D. Yang and Sibei Yang, Boundedness of second order Riesz transforms associated to Schrödinger operators on Musielak-Orlicz-Hardy spaces, Comm. Pure Appl. Anal. 13(2014), 1435-1463.

[19] J. Cao, D.-C. Chang, D. Yang and Sibei Yang, Estimates for second-order Riesz transforms associated with magnetic Schrödinger operators on Musielak-Orlicz-Hardy spaces, Appl. Anal. 93(2014), 2519-2545.

[20] J. Cao, D.-C. Chang, D. Yang and Sibei Yang, Weighted local Orlicz-Hardy spaces on domains and their applications in inhomogeneous Dirichlet and Neumann problems, Trans. Amer. Math. Soc. 365(2013), 4729-4809.

[21] D. Yang and Sibei Yang, Real-variable characterizations of Orlicz-Hardy spaces on strongly Lipschitz domains of Rn, Rev. Mat. Iberoam. 29(2013), 237-292.

[22] S. Hou, D. Yang and Sibei Yang, Lusin area function and molecular characterizations of Musielak-Orlicz Hardy spaces and their applications, Commun. Contemp. Math. 15(2013), 1350029, 37 pp.

[23] J. Cao, D.-C. Chang, D. Yang and Sibei Yang, Boundedness of generalized Riesz transforms on Orlicz-Hardy spaces associated to operators, Integral Equations Operator Theory 76(2013), 225-283.

[24] T. A. Bui, J. Cao, L. D. Ky, D. Yang and S. Yang, Musielak-Orlicz-Hardy spaces associated with operators satisfying reinforced off-diagonal estimates, Anal. Geom. Metr. Spaces 1(2013), 69-129.

[25] D. Yang and Sibei Yang, Orlicz-Hardy spaces associated with divergence operators on unbounded strongly Lipschitz domains of Rn, Indiana Univ. Math. J. 61(2012), 81-129.

[26] D. Yang and Sibei Yang, Local Hardy spaces of Musielak-Orlicz type and their applications, Sci. China Math. 55(2012), 1677-1720.

科研項目

1. 國家自然科學基金面上項目,, 相關於非光滑區域上橢圓運算元的邊值問題的函式空間實變理論及其套用, 2019/01-2022/12, 主持.

2. 國家自然科學基金(青年基金), 非光滑區域上的Hardy型空間的實變理論及其套用, 2015/01-2017/12, 主持.

3. 國家自然科學基金面上項目,

4. 中央高校基本科研業務費,一類薛丁格方程的Robin邊值問題的可解性, 2018/01-2019/12, 主持.

5. 中央高校基本科研業務費,一類薛丁格方程的梯度估計和可解性, 2016/01-2017/06, 主持.

榮譽獎項

2012教育部“博士研究生學術新人獎”2014北京師範大學優秀博士學位論文

社會兼職

2012—至今美國數學會《數學評論》評論員2013—至今德國數學會《數學評論》評論員