基本信息
燕敦验  男  博导  数学科学学院
电子邮件: ydunyan@ucas.ac.cn
通信地址: 北京市石景山区玉泉路19号(甲),教学楼117房间
邮政编码: 100049

研究领域

调和分析
小波分析

招生信息

   
招生专业
070101-基础数学
招生方向
调和分析
时-频分析

教育背景

   
学历
北京师范大学 -- 研究生
学位
北京师范大学 -- 博士

出版信息

   
发表论文
[1] Di, Boning, He, Qianjun, Yan, Dunyan. SomeWeighted Estimates on Gaussian Measure Spaces. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY[J]. 2021, 44(6): 3907-3927, http://dx.doi.org/10.1007/s40840-021-01153-4.
[2] Deng Yangkendi, Zhang Xingsong, Yan Dunyan, Wei Mingquan. Weak and strong estimates for linear and multilinear fractional Hausdorff operators on the Heisenberg group. OPEN MATHEMATICS[J]. 2021, 19(1): 316-328, https://doaj.org/article/738fb1d41eae4d17ba199fe5595620a4.
[3] He, Qianjun, Yan, Dunyan. Bilinear fractional integral operators on Morrey spaces. POSITIVITY[J]. 2021, 25(2): 399-429, https://www.webofscience.com/wos/woscc/full-record/WOS:000538230400001.
[4] Deng, Chao, He, Qianjun, Yan, Dunyan. Global Solutions to the 2-Dimensional Incompressible Oldroyd-B Model with Hybrid Dissipation and Partial Damping on Stress Tensor. RESULTS IN MATHEMATICS[J]. 2021, 76(1): https://www.webofscience.com/wos/woscc/full-record/WOS:000609417800007.
[5] 张兴松, 燕敦验, 魏明权. 乘积型Morrey空间中乘积Hardy型算子的最佳界. 数学进展. 2021, 50(2): 168-176, http://lib.cqvip.com/Qikan/Article/Detail?id=7104413781.
[6] Wu, Di, Shi, Zuoshunhua, Nie, Xudong, Yan, Dunyan. On a k-Fold Beta Integral Formula. JOURNAL OF GEOMETRIC ANALYSIS[J]. 2020, 30(4): 4240-4267, https://www.webofscience.com/wos/woscc/full-record/WOS:000584867800034.
[7] Li, Xiang, He, Qianjun, Yan, Dunyan. WEIGHTED ESTIMATES FOR BILINEAR FRACTIONAL INTEGRAL OPERATOR OF ITERATED PRODUCT COMMUTATORS ON MORREY SPACES. JOURNAL OF MATHEMATICAL INEQUALITIES[J]. 2020, 14(4): 1249-1267, https://www.webofscience.com/wos/woscc/full-record/WOS:000605105900020.
[8] He, Qianjun, Yan, Dunyan. SHARP OFF-DIAGONAL WEIGHTED WEAK TYPE ESTIMATES FOR SPARSE OPERATORS. MATHEMATICAL INEQUALITIES & APPLICATIONS[J]. 2020, 23(4): 1479-1498, https://www.webofscience.com/wos/woscc/full-record/WOS:000587721100018.
[9] Wu, Di, Yan, Dunyan. Continuity of Hardy-Littlewood Maximal Function. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2020, 36(4): 982-990, http://lib.cqvip.com/Qikan/Article/Detail?id=7103029319.
[10] Zhou, Yongliang, Yan, Dunyan, Wei, Mingquan. Boundedness of a Class of Oscillatory Singular Integral Operators and Their Commutators with Rough Kernel on Weighted Central Morrey Spaces. MATHEMATICS[J]. 2020, 8(9): https://doaj.org/article/d4bac17d1b0641c8900c2be09cca0b1c.
[11] Ma, Jiao, Wei, Mingquan, Yan, Dunyan. The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces. JOURNAL OF INEQUALITIES AND APPLICATIONS[J]. 2020, 2020(1): https://doaj.org/article/ee5b5415978e444dae3df4e737b55320.
[12] Zequn Wang, Mingquan Wei, Qianjun He, Dunyan Yan. Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces. JOURNAL OF FUNCTION SPACES[J]. 2020, 2020: https://doaj.org/article/e267bc0bf5714eef90db825fe96520a4.
[13] Zhang, Xingsong, Wei, Mingquan, Yan, Dunyan, He, Qianjun. Equivalence of operator norm for Hardy-Littlewood maximal operators and their truncated operators on Morrey spaces. FRONTIERS OF MATHEMATICS IN CHINA[J]. 2020, 15(1): 215-223, http://lib.cqvip.com/Qikan/Article/Detail?id=7101615476.
[14] Li, Xiang, He, Qianjun, Yan, Dunyan. Boundedness of Multilinear Littlewood-Paley Operators on Amalgam-Campanato Spaces. ACTA MATHEMATICA SCIENTIA[J]. 2020, 40(1): 272-292, http://lib.cqvip.com/Qikan/Article/Detail?id=7101621017.
[15] Li Xiang, Wei Mingquan, Yan Dunyan. Sharp bounds for fractional Hardy operator on higher-dimensional product spaces. Journal of University of Chinese Academy of Sciences[J]. 2020, 37(1): 1-5, [16] Wang, Hongbin, Yan, Dunyan. Strongly Singular Convolution Operators on Herz-Type Hardy Spaces with Variable Exponent. JOURNAL OF FUNCTION SPACES[J]. 2019, 2019: https://doaj.org/article/a26ddaa2db0e4c1893eb1a85ae75488d.
[17] Shi, Zuoshunhua, Xu, Shaozhen, Yan, Dunyan. Damping estimates for oscillatory integral operators with real-analytic phases and its applications. FORUM MATHEMATICUM[J]. 2019, 31(4): 843-865, [18] He, Qianjun, Wei, Mingquan, Yan, Dunyan. CHARACTERIZATIONS OF p-ADIC CENTRAL CAMPANATO SPACES VIA COMMUTATOR OF p-ADIC HARDY TYPE OPERATORS. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY[J]. 2019, 56(3): 767-787, [19] Shi, Zuoshunhua, Wu, Di, Yan, Dunyan. On the Multilinear Fractional Integral Operators with Correlation Kernels. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS[J]. 2019, 25(2): 538-587, [20] Xu, Shaozhen, Yan, Dunyan. Sharp L-p decay of oscillatory integral operators with certain homogeneous polynomial phases in several variables. SCIENCE CHINA-MATHEMATICS[J]. 2019, 62(4): 649-662, http://lib.cqvip.com/Qikan/Article/Detail?id=7001837282.
[21] Shaozhen Xu, Dunyan Yan. Sharp L^p decay of oscillatory integral operators with certain homogeneous polynomial phases in several variables. 中国科学:数学英文版[J]. 2019, 62(4): 649-662, http://lib.cqvip.com/Qikan/Article/Detail?id=7001837282.
[22] Du Wenkui, Yan Dunyan. Convolution integral restricted on closed hypersurfaces. Journal of University of Chinese Academy of Sciences[J]. 2019, 36(5): 577-580, http://dx.doi.org/10.7523/j.issn.2095-6134.2019.05.001.
[23] He, Qianjun, Li, Xiang, Yan, Dunyan. Sharp bounds for Hardy type operators on higher-dimensional product spaces. FRONTIERS OF MATHEMATICS IN CHINA[J]. 2018, 13(6): 1341-1353, http://lib.cqvip.com/Qikan/Article/Detail?id=6100126856.
[24] Wang, Hongbin, Yan, Dunyan. COMMUTATORS OF MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS ON HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT. JOURNAL OF MATHEMATICAL INEQUALITIES[J]. 2018, 12(4): 1173-1188, https://www.webofscience.com/wos/woscc/full-record/WOS:000451334900022.
[25] 崔晓娜, 燕敦验. 乘积函数的双Hilbert变换和Bedrosian等式. 中国科学:数学[J]. 2018, 48(10): 1253-1266, http://lib.cqvip.com/Qikan/Article/Detail?id=676538895.
[26] Nie, Xudong, Yan, Dunyan. Sharp constant of Hardy operators corresponding to general positive measures. JOURNAL OF INEQUALITIES AND APPLICATIONS[J]. 2018, 2018(1): http://www.corc.org.cn/handle/1471x/2374352.
[27] Wei, Mingquan, Shen, Feng, Yan, Dunyan. A Note about Multi-Hilbert Transform on D(a"e (n) ). ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2018, 34(2): 330-343, https://www.webofscience.com/wos/woscc/full-record/WOS:000431029600010.
[28] Wang, Hongbin, Yan, Dunyan. Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent. JOURNAL OF FUNCTION SPACES[J]. 2018, 2018(1): https://doaj.org/article/050ee8c94557484184c9822a8fca3b6a.
[29] Wei Mingquan, Yan Dunyan. SHARP BOUNDS FOR HARDY OPERATORS ON PRODUCT SPACES. 数学物理学报:B辑英文版[J]. 2018, 38(2): 441-449, http://lib.cqvip.com/Qikan/Article/Detail?id=674909033.
[30] Wang Zequn, Yan Dunyan. 迭代的哈代-李特伍德极大函数. 中国科学院大学学报[J]. 2018, 35(4): 433-437, http://lib.cqvip.com/Qikan/Article/Detail?id=675644901.
[31] Wei Mingquan, Shen Feng, Yan Dunyan. A Note about Multi-Hilbert Transform on D(Rn). 应用数学学报:英文版[J]. 2018, 34(2): 330-343, http://lib.cqvip.com/Qikan/Article/Detail?id=674963962.
[32] Qianjun HE, Xiang LI, Dunyan YAN. Sharp bounds for Hardy type operators on higher-dimensional product spaces. 中国数学前沿:英文版[J]. 2018, 13(6): 1341-1353, http://lib.cqvip.com/Qikan/Article/Detail?id=6100126856.
[33] Xu, Shaozhen, Yan, Dunyan. A restriction theorem for oscillatory integral operator with certain polynomial phase. FRONTIERS OF MATHEMATICS IN CHINA[J]. 2017, 12(4): 967-980, http://lib.cqvip.com/Qikan/Article/Detail?id=672507233.
[34] Shi, Zuoshunhua, Yan, Dunyan. Sharp L-p-boundedness of oscillatory integral operators with polynomial phases. MATHEMATISCHE ZEITSCHRIFT[J]. 2017, 286(3-4): 1277-1302, https://www.webofscience.com/wos/woscc/full-record/WOS:000405599900017.
[35] 崔晓娜, 燕敦验. 双Hilbert变换与分数阶双Hilbert变换在混合范数空间上的有界性. 中国科学院大学学报. 2017, [36] Wei Mingquan, Shen Feng, Yan Dunyan. D(R^n)函数的Riesz变换的一个注记. 中国科学院大学学报[J]. 2017, 34(6): 657-659, http://lib.cqvip.com/Qikan/Article/Detail?id=673818475.
[37] Shaozhen XU, Dunyan YAN. A restriction theorem for oscillatory integral operator with certain polynomial phase. 中国数学前沿:英文版. 2017, 12(4): 967-980, http://lib.cqvip.com/Qikan/Article/Detail?id=672507233.
[38] Wu Di, Yan DunYan. Sharp constants for a class of multilinear integral operators and some applications. SCIENCE CHINA-MATHEMATICS[J]. 2016, 59(5): 907-920, [39] 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, 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.
[40] Wei, Mingquan, Nie, Xudong, Wu, Di, Yan, Dunyan. A note on Hardy-Littlewood maximal operators. JOURNAL OF INEQUALITIES AND APPLICATIONS[J]. 2016, 2016(1): http://www.corc.org.cn/handle/1471x/2374331.
[41] Shaozhen XU, Dunyan YAN. Limiting Property of the Distribution Function of L^p Function at Endpoints. 数学研究及应用:英文版. 2016, 177-182, http://lib.cqvip.com/Qikan/Article/Detail?id=668177248.
[42] Xu Shaozhen, Yan Dunyan. Limiting Property of the Distribution Function of L^p Function at Endpoints. 数学研究及应用:英文版[J]. 2016, 177-182, http://lib.cqvip.com/Qikan/Article/Detail?id=668177248.
[43] Wei Mingquan, Yan Dunyan. Sharp bounds for generalized Hardy operator on product space. Journal of University of Chinese Academy of Sciences[J]. 2016, 33(4): 433-437, [44] Shen Feng, Wang Guanglan, Wu Di, Yan Dunyan. A Packing Problem on Infinite-dimensional Normed Linear Spaces. Advances in Mathematics (China)[J]. 2015, 44(4): 492-504, [45] Di Wu, ZuoShunHua Shi, DunYan Yan. Sharp constants in the doubly weighted Hardy-Littlewood-Sobolev inequality. Science China Mathematics,[J]. 2014, 57(5): 963-970, https://www.webofscience.com/wos/woscc/full-record/WOS:000334434900003.
[46] Wu Di, Shi ZuoShunHua, Yan DunYan. Sharp constants in the doubly weighted Hardy-Littlewood-Sobolev inequality. SCIENCE CHINA-MATHEMATICS[J]. 2014, 57(5): 963-970, [47] Shi, Zuoshunhua, Yan, Dunyan. Criterion on L-p1 x L-p2 -> L-q-Boundedness for Oscillatory Bilinear Hilbert Transform. ABSTRACT AND APPLIED ANALYSIS[J]. 2014, https://www.webofscience.com/wos/woscc/full-record/WOS:000332654000001.
[48] Wu Di, Wang Shimo, Yan Dunyan. (L~1, L~q)-boundedness for Hardy Operators With Power Weight on n-dimensional Space. Advances in Mathematics (China)[J]. 2014, 43(5): 725-732, [49] Xudong Nie, Shimo Wang, Dunyan Yan. Endpoint Estimates for Hardy Operator’s Conjugate Operator with Power Weight on n-Dimensional Space. 分析,理论与应用(英文版). 2013, 29(3): 267-274, http://lib.cqvip.com/Qikan/Article/Detail?id=47886760.
[50] 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, 29(9): 1679-1690, [51] Cui, Xiaona, Wang, Rui, Yan, Dunyan. Double Hilbert transform on D(R-2). FRONTIERS OF MATHEMATICS IN CHINA[J]. 2013, 8(4): 783-799, http://lib.cqvip.com/Qikan/Article/Detail?id=46232093.
[52] Lu, Shanzhen, Yan, Dunyan, Zhao, Fayou. Sharp bounds for Hardy type operators on higher-dimensional product spaces. JOURNAL OF INEQUALITIES AND APPLICATIONS[J]. 2013, 2013(1): http://www.corc.org.cn/handle/1471x/2374330.
[53] Xiaona CUI, Rui WANG, Dunyan YAN. Double Hilbert transform on D(R2). 中国数学前沿:英文版. 2013, 783-799, http://lib.cqvip.com/Qikan/Article/Detail?id=46232093.
[54] Nie Xudong, Wang Shimo, Yan Dunyan. Sufficient and necessary conditions of (L~1, L~q)-boundedness for Hardy operator with power weight. Journal of University of Chinese Academy of Sciences[J]. 2013, 30(6): 724-727, [55] Cui Xiaona, Wang Rui, Yan Dunyan. Double Hilbert transform on D(?~2). Frontiers of Mathematics in China[J]. 2013, 8(4): 783-799, [56] 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, 55(12): 2469-2480, [57] 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. 2012, 28(1): 79-86, http://lib.cqvip.com/Qikan/Article/Detail?id=41483774.
[58] Li, Yu Lan, Yan, Dun Yan. Orthonormal bases associated with multi-knot piecewise linear function sequences on 0,1) (n). ACTA MATHEMATICA SINICA-ENGLISH SERIES[J]. 2009, 25(11): 1835-1848, http://lib.cqvip.com/Qikan/Article/Detail?id=32169370.
[59] 陈佳宏, 王蕊, 燕敦验. 广义Calderón-Zygmund核的多线性振荡奇异积分算子的加权L~p-有界性(英文). 中国科学院研究生院学报. 2009, http://kns.cnki.net/KCMS/detail/detail.aspx?QueryID=0&CurRec=6&recid=&FileName=ZKYB200905003&DbName=CJFD2009&DbCode=CJFQ&yx=&pr=&URLID=&bsm=QK0102;.
[60] Li, Shidong, Yan, Dunyan. Frame Fundamental Sensor Modeling and Stability of One-Sided Frame Perturbation. ACTA APPLICANDAE MATHEMATICAE[J]. 2009, 107(1-3): 91-103, http://www.corc.org.cn/handle/1471x/2399164.
[61] Xie LinSen, Lan JiaCheng, Lan SenHua, Yan DunYan. Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces. SCIENCE IN CHINA SERIES A-MATHEMATICS[J]. 2009, 52(3): 481-492, http://www.corc.org.cn/handle/1471x/2395757.
[62] 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, 137(3): 971-980, https://www.webofscience.com/wos/woscc/full-record/WOS:000261153200024.
[63] 陈佳宏, 王蕊, 燕敦验. 广义Calderón-Zygmund核的多线性振荡奇异积分算子的加权L~p-有界性. 中国科学院研究生院学报[J]. 2009, 26(5): 587-598, [64] 李玉兰, 燕敦验. 非线性相位函数的Hilbert变换的注记. 中国科学院研究生院学报[J]. 2009, 26(1): 37-42, http://lib.cqvip.com/Qikan/Article/Detail?id=29778022.
[65] Lee, MingYi, Lin, ChinCheng, Lin, YingChieh, Yan, Dunyan. Boundedness of singular integral operators with variable kernels. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2008, 348(2): 787-796, http://dx.doi.org/10.1016/j.jmaa.2008.07.078.
[66] 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). 2008, 38(8): 885-896, http://lib.cqvip.com/Qikan/Article/Detail?id=29080585.
[67] Naokant DEO, 燕敦验. Szász—Mirakian—Baskakov型算子的同时逼近. 数学学报[J]. 2007, 50(6): 1257-1262, http://lib.cqvip.com/Qikan/Article/Detail?id=25763507.
[68] Lian, Qiao Fang, Wang, Yong Ge, Yan, Dun Yan. Optimized local trigonometric bases with nonuniform partitions. ACTA MATHEMATICA SINICA-ENGLISH SERIES[J]. 2006, 22(4): 1069-1084, http://ir.amss.ac.cn/handle/2S8OKBNM/48135, http://www.irgrid.ac.cn/handle/1471x/6868606, http://ir.amss.ac.cn/handle/2S8OKBNM/48136.
[69] 兰家诚, 燕敦验. R^n中区域上的加权Hardy定理. 数学物理学报:A辑[J]. 2006, 26(4): 534-546, http://lib.cqvip.com/Qikan/Article/Detail?id=22554969.
[70] 李登峰, 燕敦验. 小波分析中一个逆问题. 数学学报[J]. 2004, 47(3): 527-530, http://lib.cqvip.com/Qikan/Article/Detail?id=9766037.
[71] 薛明志, 燕敦验, 焦李成. 具有一般伸缩矩阵高维周期尺度函数的双正交性. 北京师范大学学报(自然科学版)[J]. 2003, 39(1): 8-13, http://lib.cqvip.com/Qikan/Article/Detail?id=7554642.
[72] 陆善镇, 燕敦验. Calderón-Zygmund核的多线性振荡奇异积分算子的L~p-有界性. 中国科学(A辑)[J]. 2001, 1087-, http://ir.amss.ac.cn/handle/2S8OKBNM/50270, http://www.irgrid.ac.cn/handle/1471x/6869041, http://ir.amss.ac.cn/handle/2S8OKBNM/50271.
发表著作
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

指导学生

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