杨大春 - 北京师范大学 - 数学科学学院

个人简介

Education Ph. D., 1992, School of Mathematical Sciences, Beijing Normal University, People's Republic of China. Advisor was Professor Shanzhen Lu. M. S., 1989, Department of Applied Mathematics, Zhejiang University, People's Republic of China. Advisor was Zhurui Guo. B. S., 1984, Department of Mathematics, Hunan Normal University, People's Republic of China. Employment April 2010-Present, Editor, ?Advances in Mathematics (China) ?, Peking University. April 2010-Present, Editor, ?Eurasian Mathematical Journal?, L.N. Gumilyov Eurasian National University with cooperation with M.V. Lomonosov Moscow State University, Peoples' Friendship University of Russia and Padova University. March 2007-February 2010, Chang Jiang Scholar (or Cheung Kong Scholar), Ministry of Education of the People's Republic of China. January 2007-December 2009, Editor, ?The Australian Journal of Mathematical Analysis and Applications?. January 2007-January 2008, Indicated Reviewer, Sciencepaper Online, Ministry of Education of the People's Republic of China. July 2006-December 2006, Item of “Program for New Century Excellent Talents in University” by The China Scholarship Council (CSC), Mathematisches Seminar der Christian-Albrechts-Universit?t zu Kiel. April 2006-Present, a member of the Advisory Board of the journal ?Mathematische Nachrichten?. September 2005-December 2005, Humboldt Fellow, Mathematisches Institut der Universit?t Jena and Mathematisches Seminar der Christian-Albrechts-Universit?t zu Kiel. August 2000-February 2002, Humboldt Fellow, Herder-Institut der Universit?t Leipzig and Mathematisches Institut der Universit?t Jena. January 2000-July 2000, Croucher Visitor, Department of Mathematics, City University of Hong Kong. January 1999-March 1999, Visiting Research Scholar, Department of Mathematics, Auburn University, USA. January 1998-Present, Reviewer, ?Zentralblatt für Mathematik (Mathematics Abstracts)?, Heidelberger Akademie der Wissenschaften und Fachinformationszentrum Karlsruhe GmbH, Germany. May 1998-Present, Reviewer, ?Mathematical Reviews?, American Mathematical Society, USA. January 1999-Present, Member of American Mathematical Society. September 1995-Present, Professor, School of Mathematical Sciences, Beijing Normal University, People's Republic of China. January 1997-May 1997, Visiting Professor, Department of Mathematical Sciences, University of Wisconsin-Milwaukee, USA. July 1994-August 1995, Associate Professor, School of Mathematical Sciences, Beijing Normal University, People's Republic of China. September 1994-August 1995, Visiting Research Associate, Department of Mathematics, Washington University in St. Louis, USA. April 1992-June 1994, Lecturer, School of Mathematical Sciences, Beijing Normal University, People's Republic of China. July 1984-September 1986, Assitant Lecturer, Department of Mathematics, Hunan Normal University, People's Republic of China. Awards Program for New Century Hundred Thousand Ten-thousand National Talents, Personnel Department of the People's Republic of China, September, 2006. The third-grade award of excellent papers of natural science of the eleventh time of Hunan Province, Herz-type Triebel-Lizorkin spaces, I, jointed with J. Xu, Personnel Office, Department of Science and Technology and Society of Science and Technology of Hunan Province, October, 2006. The Excellent teacher of Beijing City, Beijing Municipal Commission of Education (together with other five Beijing municipal departments), September, 2006. The First-grade award of excellent research achievements of the sixth Liyuan Foundation", Function Spaces and Their Applications, Beijing Normal University, 2003. Shanzhen Lu, Dachun Yang and Ding Yong, The Second-grade award of named award for natural science award of national science and technology award of education department of 2002, Herz-type Spaces and Rough Operators, State Education Department of China, January, 2003. Shanzhen Lu, Dachun Yang and Ding Yong, The award of the excellent results of science and technology of Beijing Normal University, Several problems in modern harmonic analysis, June, 2002. The First-grade award of excellent papers of natural science of the seventh time of Henan Province, On a class of multilinear oscillatory singular integral operators, jointed with G. Hu and S. Lu, Personnel Office, Department of Science and Technology and Society of Science and Technology of Henan Province, May, 2001. The second-grade award of excellent papers of natural science of the seventh time of Henan Province, Boundedness of rough singular integral operators on Herz spaces, jointed with G. Hu and S. Lu, Personnel Office, Department of Science and Technology and Society of Science and Technology of Henan Province, May, 2001. Special subsidies of the China government, September, 2001. The award for outstanding research achievements in mathematics, the Second Congress of the International Society for Analysis, its Applications and Computation (ISAAC), Fukuoka Institute of Technology, Japan, 1999. The First-grade award of excellent mathematical papers of the Beijing's young, The weighted Herz-type Hardy spaces and its applications, Beijing Mathematical Society, 1996. The third-grade award of excellent books of the third biennial Liyuan Foundation", Herz-type spaces and their applications, Beijing Normal University, September, 1995.

研究领域

Function spaces on metric measure spaces and their applications; Applications of harmonic analysis techniques to partial differential equations.

近期论文

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Wavelet characterizations of the atomic Hardy space H1 on spaces of homogeneous type, with X. Fu, Appl. Comput. Harmon. Anal. (to appear). Products of functions in $/mathop/mathrm{BMO}({/mathcal X})$ and $H^1_{/rm at}({/mathcal X})$ via wavelets over spaces of homogeneous type, with X. Fu and Y. Liang, J. Fourier Anal. Appl. (to appear). Products of functions in $H^1_{/rho}({/mathcal X})$ and ${/mathop/mathrm{BMO}}_{/rho}({/mathcal X})$ over RD-spaces and applications to Schr/"odinger operators, with X. Fu, J. Geom. Anal. (to appear). Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls, with W. Yuan, Trans. Amer. Math. Soc. (to appear). Real-Variable Theory of Musielak-Orlicz Hardy Spaces, with Y. Liang and L. D. Ky, Lecture Notes in Mathematics 2182, Springer-Verlag, Cham, 2017, xiii+466 pp. Sharp boundedness of quasiconformal composition operators on Triebel-Lizorkin type spaces, with W. Yuan and Y. Zhou, J. Geom. Anal. 27 (2017), 1548-1588. Variable weak Hardy spaces and their applications, with X. Yan, W. Yuan and C. Zhuo, J. Funct. Anal. 271 (2016), 2822-2887. Regularity for inhomogeneous Dirichlet problems of some Schr?dinger equations on domains, with S. Yang, J. Geom. Anal. 26 (2016), 2097-2129. Riesz transform characterizations of Musielak-Orlicz-Hardy spaces, with J. Cao, D.-C. Chang and S. Yang, Trans. Amer. Math. Soc. 368 (2016), 6979-7018. Besov-type spaces with variable smoothness and integrability, with C. Zhuo and W. Yuan, J. Funct. Anal. 269 (2015), 1840-1898. Regularity and capacity for the fractional dissipative operator, with R. Jiang, J. Xiao and Z. Zhai, J. Differential Equations 259 (2015), 3495-3519. Intrinsic square function characterizations of Musielak-Orlicz Hardy spaces, with Y. Liang, Trans. Amer. Math. Soc. 367 (2015), 3225-3256. Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions, with R. Jiang and P. Koskela, J. Math. Pures Appl. (9) 101 (2014), 583-598. Morrey-type spaces on Gauss measure spaces and boundedness of singular integrals, with L. Liu and Y. Sawano, J. Geom. Anal. 24 (2014), 1007-1051. Musielak-Orlicz-Hardy spaces associated with operators and their applications, with S. Yang, J. Geom. Anal. 24 (2014), 495-570. Littlewood-Paley characterization and duality of weighted anisotropic product Hardy spaces, with B. Li and M. Bownik, J. Funct. Anal. 266 (2014), 2611-2661. Real-variable characterizations of Orlicz-Hardy spaces on strongly Lipschitz domains of $/mathbb{R}^n$, with S. Yang, Rev. Mat. Iberoam. 29 (2013), 237-292. Weighted local Orlicz-Hardy spaces on domains and their applications in inhomogeneous Dirichlet and Neumann problems, with J. Cao, D.-C. Chang and S. Yang, Trans. Amer. Math. Soc. 365 (2013), 4729-4809. The Hardy Space H1 with Non-doubling Measures and Their Applications, with Do. Yang and G. Hu, Lecture Notes in Mathematics 2084, Springer-Verlag, Cham, 2013, xiii+653 pp. Dyadic sets, maximal functions and applications on ax+b-groups, with L. Liu and M. Vallarino, Math. Z. 270 (2012), 515-529.