调和分析
小波分析

   

070101-基础数学

调和分析
时-频分析

   

北京师范大学 -- 研究生

北京师范大学 -- 博士

   

[1] The Journal of Geometric Analysis. 2023, 第 2 作者
[2] Proceedings of the Royal Society of Edinburgh. 2023, 第 3 作者
[3] Banach Journal of Mathematical Analysis. 2022, 第 2 作者
[4] Bulletin of the Malaysian Mathematical Sciences Society. 2022, 第 3 作者
[5] The Journal of Geometric Analysis. 2022, 第 3 作者
[6] The Journal of Geometric Analysis. 2022, 第 2 作者
[7] Communication on Pure and Applied Analysis. 2022, 第 4 作者
[8] Bulletin of the Malaysian Mathematical Sciences Society. 2021, 第 3 作者
[9] Results in Mathematics. 2021, 第 3 作者
[10] Journal of Fourier Analysis and Applications. 2021, 第 3 作者
[11] Positivity. 2021, 第 2 作者
[12] He, Qianjun, Yan, Dunyan. SHARP OFF-DIAGONAL WEIGHTED WEAK TYPE ESTIMATES FOR SPARSE OPERATORS. MATHEMATICAL INEQUALITIES & APPLICATIONS[J]. 2020, 第 2 作者23(4): 1479-1498, https://www.webofscience.com/wos/woscc/full-record/WOS:000587721100018.
[13] Wu, Di, Shi, Zuoshunhua, Nie, Xudong, Yan, Dunyan. On a k-Fold Beta Integral Formula. JOURNAL OF GEOMETRIC ANALYSIS[J]. 2020, 第 4 作者  通讯作者  30(4): 4240-4267, https://www.webofscience.com/wos/woscc/full-record/WOS:000584867800034.
[14] Li, Xiang, He, Qianjun, Yan, Dunyan. Boundedness of Multilinear Littlewood-Paley Operators on Amalgam-Campanato Spaces. ACTA MATHEMATICA SCIENTIA[J]. 2020, 第 3 作者40(1): 272-292, http://lib.cqvip.com/Qikan/Article/Detail?id=7101621017.
[15] Wu, Di, Yan, Dunyan. Continuity of Hardy-Littlewood Maximal Function. ACTAMATHEMATICAEAPPLICATAESINICAENGLISHSERIES[J]. 2020, 第 2 作者  通讯作者  36(4): 982-990, http://lib.cqvip.com/Qikan/Article/Detail?id=7103029319.
[16] Yan Dunyan. Characterizations of p-adic Central Campanato Space via Communator of p-adic Hardy Type Operators. J. Korean Math.. 2019, 第 1 作者
[17] Shi, Zuoshunhua, Wu, Di, Yan, Dunyan. On the Multilinear Fractional Integral Operators with Correlation Kernels. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS[J]. 2019, 第 3 作者25(2): 538-587, 
[18] Yan Dunyan. The sharp Lp decay of oscillatory integral operators with certain homogeneous polynomial phases in several variables. Sci China Math. 2019, 第 1 作者
[19] Wei, Mingquan, Ya, Dunyan. SHARP BOUNDS FOR HARDY OPERATORS ON PRODUCT SPACES. ACTA MATHEMATICA SCIENTIA[J]. 2018, 38(2): 441-449, http://lib.cqvip.com/Qikan/Article/Detail?id=674909033.
[20] Nie, Xudong, Yan, Dunyan. Sharp constant of Hardy operators corresponding to general positive measures. JOURNAL OF INEQUALITIES AND APPLICATIONS[J]. 2018, 第 2 作者2018(1): http://www.corc.org.cn/handle/1471x/2374352.
[21] Yan Dunyan. Boundedness of Oscillatory Integral Operators on Mixed Norm Space. ADVANCES IN MATHEMATICS. 2018, 第 1 作者  通讯作者  
[22] Ming-quan WEI, Feng SHEN, Dun-yan YAN. A Note about Multi-Hilbert Transform on D(Rn). 应用数学学报：英文版[J]. 2018, 第 3 作者34(2): 330-343, http://lib.cqvip.com/Qikan/Article/Detail?id=674963962.
[23] Shi, Zuoshunhua, Yan, Dunyan. Sharp L-p-boundedness of oscillatory integral operators with polynomial phases. MATHEMATISCHE ZEITSCHRIFT[J]. 2017, 第 2 作者286(3-4): 1277-1302, https://www.webofscience.com/wos/woscc/full-record/WOS:000405599900017.
[24] Shaozhen XU, Dunyan YAN. A restriction theorem for oscillatory integral operator with certain polynomial phase. 中国数学前沿：英文版[J]. 2017, 第 2 作者12(4): 967-980, http://lib.cqvip.com/Qikan/Article/Detail?id=672507233.
[25] Yan Dunyan. Limiting Weak-type Behavior for Centered Hardy-Littlewood Maximal Operator. Journal of Mathematical Research with Applications.. 2016, 第 1 作者
[26] 魏明权, 石坐顺华, 燕敦验. schwartz函数的分解及其应用. 中国科学数学[J]. 2016, 第 3 作者46(2): 211, http://ir.amss.ac.cn/handle/2S8OKBNM/38536, http://www.irgrid.ac.cn/handle/1471x/6866599, http://ir.amss.ac.cn/handle/2S8OKBNM/38537.
[27] Wu Di, Yan DunYan. Sharp constants for a class of multilinear integral operators and some applications. SCIENCE CHINA-MATHEMATICS[J]. 2016, 第 2 作者  通讯作者  59(5): 907-920, 
[28] Lin, Yan. Endpoint estimates for multilinear singular integral operators. GEORGIAN MATHEMATICAL JOURNAL[J]. 2016, 23(4): 559-570, http://dx.doi.org/10.1515/gmj-2016-0038.
[29] Yan Dunyan. A Note on Hardy-Lilttlewood Maximal Operators,. Journal of Inequalities and Applications.. 2016, 第 1 作者
[30] Yan Dunyan. A Packing Problem on Infinitely Dimensional Normed Linear Spaces,. Advances In Mathematics. 2015, 第 1 作者
[31] 崔晓娜, 燕敦验. 分数阶截断算子的有界性. 中国科学院大学学报[J]. 2015, 第 2 作者32(4): 433-436, http://journal.ucas.ac.cn/CN/10.7523/j.issn.2095-6134.2015.04.001.
[32] 石坐顺华, 聂旭东, 吴迪, 燕敦验. 广义Bochner-Riesz乘子的等价性及其应用. 中国科学. 数学[J]. 2014, 第 4 作者44(5): 535-544, https://www.sciengine.com/doi/10.1360/N012013-00145.
[33] Yan Dunyan. Criterion on $L^{p_1}\times L^{p_2}\rightarrow L^q$-Boundedness for Oscillatory Bilinear Hilbert Transform. 2014, 第 1 作者
[34] 吴迪, 王士模, 燕敦验. n维空间上Hardy算子的加权（L1，Lq）有界性. 数学进展[J]. 2014, 第 3 作者43(5): 725-732, https://d.wanfangdata.com.cn/periodical/sxjz201405010.
[35] Zuoshunhua Shi, Wu Di, Dunyan Yan. Necessary and Sufficient Conditions of Doubly Weighted Hardy-Littlewood-Sobolev Inequality. 分析,理论与应用(英文版)[J]. 2014, 第 3 作者30(2): 193-204, http://lib.cqvip.com/Qikan/Article/Detail?id=662138669.
[36] Di Wu, ZuoShunHua Shi, DunYan Yan. Sharp constants in the doubly weighted Hardy-Littlewood-Sobolev inequality. SCIENCE CHINA MATHEMATICS,[J]. 2014, 第 3 作者  通讯作者  57(5): 963-970, https://www.webofscience.com/wos/woscc/full-record/WOS:000334434900003.
[37] Cui, Xiao Na, Liu, Xu, Wang, Rui, Yan, Dun Yan. A characterization of multidimensional multi-knot piecewise linear spectral sequence and its applications. ACTA MATHEMATICA SINICA-ENGLISH SERIES[J]. 2013, 第 4 作者  通讯作者  29(9): 1679-1690, 
[38] Yan Dunyan. Zuoshunhua Shi and Dunyan Yan, Some Remarks on the Fourier Transform. PanAmerican Mathematical Journal. 2013, 第 1 作者
[39] Lu, Shanzhen, Yan, Dunyan, Zhao, Fayou. Sharp bounds for Hardy type operators on higher-dimensional product spaces. JOURNAL OF INEQUALITIES AND APPLICATIONS[J]. 2013, 第 2 作者2013(1): http://www.corc.org.cn/handle/1471x/2374330.
[40] Cui Xiaona, Wang Rui, Yan Dunyan. Double Hilbert transform on D(?~2). FRONTIERS OF MATHEMATICS IN CHINA[J]. 2013, 第 3 作者8(4): 783-799, http://sciencechina.cn/gw.jsp?action=detail.jsp&internal_id=4869719&detailType=1.
[41] Wang ShiMo, Lu ShanZhen, Yan DunYan. Explicit constants for Hardy's inequality with power weight on n-dimensional product spaces. SCIENCE CHINA-MATHEMATICS[J]. 2012, 第 3 作者  通讯作者  55(12): 2469-2480, 
[42] Shimo Wang, Dunyan Yan. WEIGHTED BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL HARDY OPERATORS WITH BESOV-LIPSCHITZ FUNCTIONS. 分析理论与应用：英文刊[J]. 2012, 第 2 作者28(1): 79-86, http://lib.cqvip.com/Qikan/Article/Detail?id=41483774.
[43] Double Hilbert Transform on Product Functions and Bedrosian Identity. SCIENCE IN CHINA (Series A). 2012, 
[44] On Sampling Related Properties of B-spline Riesz Sequences. Sampling Theory in Signal and Image Processing. 2010, 
[45] Yan Gu Rui Wang DunyanYan. MULTIDIMENSIONAL MULTI-KNOTS PIECEWISE LINEAR SPECTRAL SEQUENCES. 分析理论与应用：英文刊[J]. 2010, 26(4): 367-382, http://lib.cqvip.com/Qikan/Article/Detail?id=36465793.
[46] New Advances of Singular Integral Transform of Product Functions. Real Analysis Symposium, Kyushu, Japan. 2010, 
[47] Weighted $L^{p}-$boundedness of Multilinear Oscillatory Singular Integral with Generalized Calderon-Zygmund Kernel. Journal of the Graduate School of the Chinese Academy of Sciences. 2009, 
[48] Qian, Tao, Xu, Yuesheng, Yan, Dunyan, Yan, Lixin, Yu, Bo. FOURIER SPECTRUM CHARACTERIZATION OF HARDY SPACES AND APPLICATIONS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY[J]. 2009, 第 3 作者137(3): 971-980, https://www.webofscience.com/wos/woscc/full-record/WOS:000261153200024.
[49] Li, Shidong, Yan, Dunyan. Frame Fundamental Sensor Modeling and Stability of One-Sided Frame Perturbation. ACTA APPLICANDAE MATHEMATICAE[J]. 2009, 第 2 作者107(1-3): 91-103, http://www.corc.org.cn/handle/1471x/2399164.
[50] Yu Lan Li, Dun Yan Yan. Orthonormal bases associated with multi-knot piecewise linear function sequences on 0, 1) n. ACTA MATHEMATICA SINICA, ENGLISH SERIES,[J]. 2009, 第 2 作者  通讯作者  25(11): 1835-1848, http://www.corc.org.cn/handle/1471x/2401249.
[51] LinSen Xie, JiaCheng Lan, SenHua Lan, DunYan Yan. Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces. SCIENCE IN CHINA SERIES. 2009, 第 4 作者52(3): http://kns.cnki.net/KCMS/detail/detail.aspx?QueryID=0&CurRec=1&recid=&FileName=SSJD15110100389200&DbName=SSJD_01&DbCode=SSJD&yx=&pr=&URLID=&bsm=.
[52] 童正卿, 王蕊. 两类分布函数的Bedrosian等式. 中国科学院研究生院学报[J]. 2009, 26(4): 433-437, http://lib.cqvip.com/Qikan/Article/Detail?id=30942865.
[53] 谢林森, 兰家诚, 蓝森华, 燕敦验. Herz型Hardy空间上乘子算子的Jackson型和Bernstein型不等式. 中国科学(A辑:数学)[J]. 2008, 第 4 作者38(8): 885-896, http://lib.cqvip.com/Qikan/Article/Detail?id=29080585.
[54] Lee, MingYi, Lin, ChinCheng, Lin, YingChieh, Yan, Dunyan. Boundedness of singular integral operators with variable kernels. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2008, 第 4 作者348(2): 787-796, http://dx.doi.org/10.1016/j.jmaa.2008.07.078.
[55] 关于Szasz-Mirakian-Baskakov 型算子的同时逼近. Acta Mathematica Sinica, Chinese Series. 2007, 
[56] Li, Haitao, Yan, Dunyan. Characterizations of multi-knot piecewise linear spectral sequences. ADVANCES IN COMPUTATIONAL MATHEMATICS[J]. 2007, 第 2 作者27(4): 401-422, https://www.webofscience.com/wos/woscc/full-record/WOS:000250403900003.
[57] Singular Integral Transform of Product Functions. INTERNATIOALCONFERENCEOFHARMONICANALYSISANDITSAPPLICATIONSATSAPPORO. 2007, 
[58] Optimized Local Trigonometric Bases with Nonuniform Partitionsn. Acta Mathematica Sinica, English Series. 2006, 
[59] Xu, Yuesheng, Yan, Dunyan. The Bedrosian identity for the Hilbert transform of product functions. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY[J]. 2006, 第 2 作者134(9): 2719-2728, https://www.webofscience.com/wos/woscc/full-record/WOS:000237513900029.
[60] 兰家诚燕敦验. Rn中区域上的加权Hardy定理. 数学物理学报[J]. 2006, 26(4): 534-546, http://121.43.60.238/sxwlxbA/CN/abstract/abstract8588.shtml.
[61] 广义Calder on-Zygmund核的多线性振荡奇异积分算子的L^p-有界性. 应用数学学报. 2006, 
[62] A Characterization of Lp by Local Trigonometric Bases with 1p\infty. 2006, 
[63] DunYanYAN, GuoEnHU. Weak-type Endpoint Estimates for Multilinear Singular Integral Operators. 数学学报：英文版[J]. 2005, 第 1 作者21(1): 209-214, http://lib.cqvip.com/Qikan/Article/Detail?id=15051670.
[64] 具有Calderon-Zygmund核的多线性奇异积分的极大算子的L^p（R^n）有界性. Acta Mathematica Sinica, English Series. 2005, 
[65] Boundedness of Multilinear Singular Integral Operators with Rough Kernel on Herz-Type Spaces. 2004, 
[66] 小波分析中的一个逆问题. 2004, 
[67] L^p-Boundedness on the Comutator of the Marcinkiewcz Integral. Journal of MATHEMATICAL ANALYSIS AND APPLICATIONS. 2003, 
[68] 王娅昕. 关于Marcinkiewicz积分交换子的一点注记. 浙江大学学报：理学版[J]. 2003, 30(6): 606-608, http://lib.cqvip.com/Qikan/Article/Detail?id=8713611.
[69] 胡国恩, 陆善镇, 燕敦验. 乘积空间上Marcinkiewicz积分的L^p（R^m×R^n）有界性. 中国科学：A辑[J]. 2002, 第 3 作者32(9): 850-857, http://lib.cqvip.com/Qikan/Article/Detail?id=6867259.
[70] Calderon-Zygmund核的多线性振荡奇异积分的加权Lp有界性. CHINESE QUARTERLY JOURNAL OF MATHEMATICS. 2002, 
[71] 邱忠华, 燕敦验. 超线性Hammerstein型积分方程组的特征值与特征函数. 北京师范大学学报：自然科学版[J]. 2002, 第 2 作者38(1): 28-33, http://lib.cqvip.com/Qikan/Article/Detail?id=5786006.
[72] Tian Dongfeng, Yan Dunyan. Weighted L~p-boundedness of Multilinear Oscillatory Singular Integrals with Calderon-Zygmund Kernel. CHINESE QUARTERLY JOURNAL OF MATHEMATICS[J]. 2002, 第 2 作者17(1): 33-40, 
[73] Calderon-Zygmund 核的多线性振荡奇异积分算子的Lp -有界性. 中国科学 (A 辑). 2001, 
[74] Calderon-Zygmund核的多线性振荡积分的加权有界性. Journel of Beijing Normal University (Natural Science). 2000, 
[75] 多线性振荡奇异积分注记. Acta Mathematica Sinica, English Series. 2000, 

World Scientific Publishing Co Pte Led ISBN-13 978-981-270-623-2 20111010
World Scientific Publishing Co Pte Led ISBN-13 978-981-270-623-2 20070808

已指导学生

李玉兰  硕士研究生  070101-基础数学  

胡毅  硕士研究生  070101-基础数学  

陈佳宏  硕士研究生  070101-基础数学  

童正卿  硕士研究生  070101-基础数学  

顾艳  硕士研究生  070101-基础数学  

现指导学生

石坐顺华  硕士研究生  070101-基础数学  

王士模  博士研究生  070101-基础数学  

聂旭东  硕士研究生  070101-基础数学  

吕平  硕士研究生  070101-基础数学  

崔晓娜  博士研究生  070101-基础数学  

吴迪  博士研究生  070101-基础数学