Edit Profile (opens in new tab) Lu, Shanzhen Co-Author Distance Author ID: lu.shanzhen Published as: Lu, Shanzhen; Lu, Shan Zhen; Lu, Shan-zhen; Lu, Shan-Zhen; Lu, ShanZhen; Lu, Shanzen more...less External Links: MGP · dblp · GND Documents Indexed: 292 Publications since 1980, including 4 Books and 5 Additional arXiv Preprints Biographic References: 2 Publications Co-Authors: 73 Co-Authors with 257 Joint Publications 1,716 Co-Co-Authors all top 5 Co-Authors 33 single-authored 51 Yang, Dachun 29 Fu, Zunwei 26 Ding, Yong 15 Shi, Shaoguang 14 Hu, Guoen 12 Zhao, Fayou 10 Jiang, Yinsheng 10 Mo, Huixia 9 Chen, Wengu 9 Lin, Yan 9 Yan, Dunyan 8 Li, Guoquan 8 Liu, Zongguang 6 Chen, Dongxiang 6 Fan, Dashan 6 Liu, Lanzhe 6 Zhang, Pu 5 Pan, Yibiao 5 Wu, Qiang 5 Xia, Xia 5 Xue, Qingying 5 Yabuta, Kôzô 5 Yu, Xiao 5 Zhou, Zusheng 4 Li, Junfeng 4 Liu, Heping 4 Liu, Mingju 4 Liu, Zhixin 4 Lu, Guozhen 4 Wu, Qingyan 3 Lan, Senhua 3 Li, Xiaochun 3 Soria, Fernando 3 Wu, Huoxiong 3 Xu, Lifang 3 Zheng, Xuean 2 Chen, Guoliang 2 Grafakos, Loukas 2 Gui, Yiqing 2 Han, Yongsheng 2 Lan, Jiacheng 2 Liu, Weiquan 2 Ma, Bolin 2 Meng, Yan 2 Tao, Shuangping 2 Weiss, Guido Leopold 2 Zhang, Yan 1 Cao, Haitao 1 Chen, Yanping 1 Cohn, William S. 1 Ding, Xiaohua 1 Gong, Shuli 1 Han, Haiyan 1 Hou, Xianming 1 Li, Dengfeng 1 Li, Wenming 1 Liu, Liguang 1 Ma, Huixia 1 Man, Z. Y. 1 Mao, Blin 1 Mao, Suzhen 1 Qin, Wendi 1 Qiu, Qirong 1 Sato, Shûichi 1 Shao, Shuanglin 1 Si, Zengyan 1 Taibleson, Mitchell H. 1 Tan, Changmei 1 Tang, Lin 1 Tao, Guiping 1 Wang, Hongbin 1 Wang, Li 1 Wang, Shiming 1 Wang, Shimo 1 Wu, Congming 1 Wu, Hoxiong 1 Xu, Jingshi 1 Xu, Zhenze all top 5 Serials 33 Journal of Beijing Normal University. Natural Science 21 Acta Mathematica Sinica. English Series 17 Science in China. Series A 16 Acta Mathematica Sinica 12 Advances in Mathematics (Beijing) 11 Approximation Theory and its Applications 11 Frontiers of Mathematics in China 8 Proceedings of the American Mathematical Society 7 Journal of Mathematical Analysis and Applications 7 Mathematische Nachrichten 6 Studia Mathematica 6 Hokkaido Mathematical Journal 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Integral Equations and Operator Theory 5 Nagoya Mathematical Journal 5 Acta Mathematica Sinica. New Series 5 Chinese Science Bulletin 4 Tôhoku Mathematical Journal. Second Series 4 Chinese Annals of Mathematics. Series A 4 Scientia Sinica. Series A 4 Kexue Tongbao 4 Acta Mathematica Scientia. Series A. (Chinese Edition) 4 Science China. Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Forum Mathematicum 3 Abstract and Applied Analysis 3 Progress in Natural Science 3 Analysis in Theory and Applications 3 Acta Mathematica Sinica. Chinese Series 2 Canadian Journal of Mathematics 2 Colloquium Mathematicum 2 Kodai Mathematical Journal 2 Pacific Journal of Mathematics 2 Publicacions Matemàtiques 2 Georgian Mathematical Journal 2 International Journal of Applied Mathematical Sciences 2 Journal of Mathematical Inequalities 2 Scientia Sinica. Mathematica 2 Jordan Journal of Mathematics and Statistics 1 Analysis Mathematica 1 Houston Journal of Mathematics 1 Arkiv för Matematik 1 Annales des Sciences Mathématiques du Québec 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Southeast Asian Bulletin of Mathematics 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series B 1 Constructive Approximation 1 Northeastern Mathematical Journal 1 Revista Matemática Iberoamericana 1 Panamerican Mathematical Journal 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Partial Differential Equations 1 Turkish Journal of Mathematics 1 Journal of Combinatorial Designs 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Communications in Applied Analysis 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Mathematical Sciences Research Hot-Line 1 Mathematical Inequalities & Applications 1 Journal of the Australian Mathematical Society 1 Journal of Function Spaces and Applications 1 Scientia Sinica 1 Pure and Applied Mathematics Quarterly 1 Series on Analysis, Applications and Computation all top 5 Fields 267 Harmonic analysis on Euclidean spaces (42-XX) 73 Operator theory (47-XX) 42 Functional analysis (46-XX) 18 Abstract harmonic analysis (43-XX) 17 Partial differential equations (35-XX) 15 Real functions (26-XX) 5 Approximations and expansions (41-XX) 3 Number theory (11-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 201 Publications have been cited 2,258 times in 1,122 Documents Cited by ▼ Year ▼ Four lectures on real \(H^ p\) spaces. Zbl 0839.42005 Lu, Shanzhen 100 1995 Singular integrals and related topics. Zbl 1124.42011 Lu, Shanzhen; Ding, Yong; Yan, Dunyan 88 2007 The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications. Zbl 0830.42014 Lu, Shanzhen; Yang, Dachun 63 1995 Weighted norm inequalities for fractional integral operators with rough kernel. Zbl 0905.42010 Ding, Yong; Lu, Shanzhen 55 1998 The central BMO spaces and Littlewood-Paley operators. Zbl 0857.42009 Lu, Shanzhen; Yang, Dachun 55 1995 Sharp bounds for \(m\)-linear Hardy and Hilbert operators. Zbl 1248.42020 Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou 55 2012 Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients. Zbl 0917.35017 Fan, Dashan; Lu, Shanzhen; Yang, Dachun 51 1998 The weighted Herz-type Hardy space and its applications. Zbl 0832.42013 Lu, Shanzhen; Yang, Dachun 48 1995 Characterization for commutators of \(n\)-dimensional fractional Hardy operators. Zbl 1131.42012 Fu, Zunwei; Liu, Zongguang; Lu, Shanzhen; Wang, Hongbin 47 2007 On commutators of Marcinkiewicz integrals with rough kernel. Zbl 1019.42009 Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô 44 2002 A problem on rough parametric Marcinkiewicz functions. Zbl 0993.42008 Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô 42 2002 Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels. Zbl 0786.42007 Lu, Shanzhen; Zhang, Yan 39 1992 \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels. Zbl 1142.42004 Fu, Zun Wei; Lin, Yan; Lu, Shan Zhen 39 2008 The local versions of \(H^p(\mathbb{R}^n)\) spaces at the origin. Zbl 0935.42012 Lu, Shanzhen; Yang, Dachun 35 1995 Higher order commutators for a class of rough operators. Zbl 1038.42013 Ding, Young; Lu, Shanzhen 35 1999 Weighted boundedness for a class of rough multilinear operators. Zbl 0985.42011 Ding, Yong; Lu, Shanzhen 33 2001 Weighted multilinear Hardy operators and commutators. Zbl 1331.42016 Fu, Zun Wei; Gong, Shu Li; Lu, Shan Zhen; Yuan, Wen 32 2015 Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces. Zbl 1081.42012 Lu, Shanzhen; Xu, Lifang 31 2005 The Littlewood-Paley function and \(\varphi\)-transform characterizations of a new Hardy space \(HK_ 2\) associated with the Herz space. Zbl 0811.42005 Lu, Shanzhen; Yang, Dachun 31 1992 Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators. Zbl 1279.42023 Fu, Zun Wei; Wu, Qing Yan; Lu, Shan Zhen 31 2013 Hardy-Littlewood-Sobolev theorems of fractional integration on Herz-type spaces and its applications. Zbl 0893.42005 Lu, Shanzhen; Yang, Dachun 30 1996 Homogeneous fractional integrals on Hardy spaces. Zbl 0959.42011 Ding, Yong; Lu, Shanzhen 27 2000 Boundedness of operators in Morrey spaces on homogeneous spaces and its applications. Zbl 0916.43006 Fan, Dashan; Lu, Shanzhen; Yang, Dachun 27 1998 Marcinkiewicz integral on Hardy spaces. Zbl 0994.42013 Ding, Yong; Lu, Shanzhen; Xue, Qingying 27 2002 The continuity of commutators on Herz-type spaces. Zbl 0913.42016 Lu, Shanzhen; Yang, Dachun 27 1997 Strongly singular Calderón-Zygmund operators and their commutators. Zbl 1279.42018 Lin, Yan; Lu, Shanzhen 27 2008 Commutators of weighted Hardy operators on \(\mathbb {R}^{n}\). Zbl 1174.42018 Fu, Zun Wei; Liu, Zong Guang; Lu, Shan Zhen 25 2009 Boundedness of some sublinear operators in weighted Herz-type spaces. Zbl 0986.42010 Lu, Shanzhen; Yabuta, Kôzô; Yang, Dachun 23 2000 Endpoint estimates for \(n\)-dimensional Hardy operators and their commutators. Zbl 1257.26015 Zhao, FaYou; Fu, ZunWei; Lu, ShanZhen 23 2012 Weak estimates for commutators of fractional integral operators. Zbl 1014.42012 Ding, Yong; Lu, Shanzhen; Zhang, Pu 22 2001 Singular integrals and commutators on homogeneous groups. Zbl 1026.43007 Lu, Guozhen; Lu, Shanzhen; Yang, Dachun 21 2002 Oscillatory singular integrals with rough kernel. Zbl 0837.42004 Jiang, Yinsheng; Lu, Shanzhen 20 1995 Boundedness of commutators on Hardy type spaces. Zbl 1098.42009 Lu, Shanzhen; Wu, Qiang; Yang, Dachun 20 2002 Commutators of \(n\)-dimensional rough Hardy operators. Zbl 1226.47050 Fu, ZunWei; Lu, ShanZhen; Zhao, FaYou 18 2011 Herz-type Sobolev and Bessel potential spaces and their applications. Zbl 0901.46027 Lu, Shanzhen; Yang, Dachun 18 1997 Characterization of the central Campanato space via the commutator operator of Hardy type. Zbl 1317.42022 Shi, Shaoguang; Lu, Shanzhen 18 2015 Sharp bounds for Hardy type operators on higher-dimensional product spaces. Zbl 1284.26022 Lu, Shanzhen; Yan, Dunyan; Zhao, Fayou 18 2013 Sublinear operators with rough kernel on generalized Morrey spaces. Zbl 0895.42005 Lu, Shanzhen; Yang, Dachun; Zhou, Zusheng 17 1998 Some characterizations of weighted Herz-type Hardy spaces and their applications. Zbl 0887.42015 Lu, Shanzhen; Yang, Dachun 17 1997 On the compactness of commutators of Hardy operators. Zbl 1445.42015 Shi, Shaoguang; Fu, Zunwei; Lu, Shanzhen 17 2020 Toeplitz operators related to strongly singular Calderón–Zygmund operators. Zbl 1118.47019 Lin, Yan; Lu, Shanzhen 16 2006 Bochner-Riesz means on Euclidean spaces. Zbl 1281.42003 Lu, Shanzhen; Yan, Dunyan 16 2013 Parametrized Littlewood-Paley operators on Hardy and weak Hardy spaces. Zbl 1133.42030 Ding, Yong; Lu, Shanzhen; Xue, Qingying 15 2007 Weighted weak type estimates for commutators of the Marcinkiewicz integrals. Zbl 1217.42029 Ding, Yong; Lu, Shanzhen; Zhang, Pu 15 2004 On Marcinkiewicz integral with homogeneous kernels. Zbl 0961.42014 Ding, Yong; Lu, Shanzhen; Xue, Qingying 14 2000 A class of singular integral operators with rough kernel on product domains. Zbl 0830.42006 Jiang, Yinsheng; Lu, Shanzhen 14 1995 Boundedness of rough singular integral operators on homogeneous Herz spaces. Zbl 0927.42010 Hu, Guoen; Lu, Shanzhen; Yang, Dachun 14 1999 The commutator of the Bochner-Riesz operator. Zbl 0889.42011 Hu, Guoen; Lu, Shanzhen 14 1996 The decomposition of Herz spaces on local fields and its applications. Zbl 0844.43008 Lu, Shanzhen; Yang, Dachun 13 1995 The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. Zbl 1242.46025 Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou 13 2012 Weighted \(L^ p\)-boundedness for higher order commutators of oscillatory singular integrals. Zbl 0873.42009 Ding, Yong; Lu, Shanzhen 13 1996 Endpoint estimates for commutators of Calderón-Zygmund type operators. Zbl 1003.42010 Liu, Zongguang; Lu, Shanzhen 13 2002 Some characterizations of Campanato spaces via commutators on Morrey spaces. Zbl 1273.42015 Shi, Shaoguang; Lu, Shanzhen 13 2013 Weighted Hardy operators and commutators on Morrey spaces. Zbl 1206.42027 Fu, Zunwei; Lu, Shanzhen 13 2010 Inhomogeneous Besov and Triebel-Lizorkin spaces on spaces of homgeneous type. Zbl 0957.46025 Han, Yongsheng; Lu, Shanzhen; Yang, Dachun 12 1999 Oscillatory singular integrals on Hardy spaces associated with Herz spaces. Zbl 0830.42008 Lu, Shanzhen; Yang, Dachun 12 1995 Rough singular integrals associated to surfaces of revolution. Zbl 0976.42009 Lu, Shanzhen; Pan, Yibiao; Yang, Dachun 12 2001 The weak Herz spaces. Zbl 0887.42016 Hu, Guoen; Lu, Shanzhen; Yang, Dachun 12 1997 \(L^ p\)-boundedness of multilinear oscillatory singular integrals with Calderón-Zygmund kernel. Zbl 1054.42013 Lu, Shanzhen; Yan, Dunyan 12 2002 CBMO estimates for commutators and multilinear singular integrals. Zbl 1081.42011 Lu, Shanzhen; Wu, Qiang 11 2004 Boundedness of commutators on Hardy-type spaces. Zbl 1134.42314 Lin, Yan; Lu, Shanzhen 11 2007 Explicit constants for hardy’s inequality with power weight on \(n\)-dimensional product spaces. Zbl 1258.42020 Wang, ShiMo; Lu, ShanZhen; Yan, DunYan 11 2012 A characterization of \(\lambda\)-central BMO space. Zbl 1260.47035 Zhao, Fayou; Lu, Shanzhen 11 2013 Criterion of \((L^p,L^r)\) boundedness for a class of multilinear oscillatory singular integrals. Zbl 0929.42008 Chen, Wengu; Hu, Guoen; Lu, Shanzhen 10 1998 Toeplitz-type operators on Lebesgue spaces. Zbl 1199.42074 Lu, Shanzhen; Ma, Huixia 10 2009 Commutators of generalized Hardy operators. Zbl 1173.42009 Fu, Zunwei; Lu, Shanzhen 10 2009 Multilinear singular and fractional integrals. Zbl 1129.42352 Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô 10 2006 The weighted norm inequality for a class of oscillatory integral operators. Zbl 0801.42009 Lu, Shanzhen; Zhang, Yan 10 1992 The best bound for \(n\)-dimensional fractional Hardy operators. Zbl 1307.26026 Zhao, Fayou; Lu, Shanzhen 10 2015 Lipschitz estimates for generalized commutators of fractional integrals with rough kernel. Zbl 1049.42009 Lu, Shanzhen; Zhang, Pu 10 2003 Multiplier theorems for Herz type Hardy spaces. Zbl 0905.42007 Lu, Shanzhen; Yang, Dachun 9 1998 \(L^{p} (\mathbb R^{m} \times \mathbb R^{n})\) boundedness for the Marcinkiewicz integral on product spaces. Zbl 1217.42032 Hu, Guoen; Lu, Shanzhen; Yan, Dunyan 9 2003 Inhomogeneous discrete Calderón reproducing formulas for spaces of homogeneous type. Zbl 0991.43004 Han, Yongsheng; Lu, Shanzhen; Yang, Dachun 9 2001 \(L^ p\) boundedness of a class of maximal singular integral operators. Zbl 0759.42013 Jiang, Yinsheng; Lu, Shanzhen 9 1992 The \(L^{p_ 1} \times L^{p_ 2} \times \cdots \times L^{p_ k}\) boundedness for some rough operators. Zbl 0882.42010 Ding, Yong; Lu, Shanzhen 9 1996 Multilinear singular integrals with rough kernel. Zbl 1023.42009 Lu, Shan Zhen; Wu, Huo Xiong; Zhang, Pu 9 2003 Weighted weak type inequalities for maximal commutators of Bochner-Riesz operator. Zbl 1034.42015 Liu, Lanzhe; Lu, Shanzhen 9 2003 On weighted weak type norm inequalities for one-sided oscillatory singular integrals. Zbl 1257.42022 Fu, Zunwei; Lu, Shanzhen; Sato, Shuichi; Shi, Shaoguang 8 2011 Continuity of higher order commutators on certain Hardy spaces. Zbl 1024.42008 Ding, Yong; Lu, Shanzhen; Zhang, Pu 8 2002 Oscillatory singular integrals and commutators with rough kernels. Zbl 1054.42012 Lu, Shanzhen; Wu, Huoxiong 8 2003 Integral operators with variable kernels on weak Hardy spaces. Zbl 1099.47040 Ding, Yong; Lu, Shanzhen; Shao, Shuanglin 8 2006 Parametrized area integrals on Hardy spaces and weak Hardy spaces. Zbl 1123.42003 Ding, Yong; Lu, Shan Zhen; Xue, Qing Ying 8 2007 A characterization of Campanato space via commutator of fractional integral. Zbl 1302.42032 Shi, Shaoguang; Lu, Shanzhen 8 2014 Boundedness of homogeneous fractional integrals on \(L^p\) for \(N/\alpha{\leq}p{\leq}{\infty}\). Zbl 1031.42015 Ding, Yong; Lu, Shanzhen 8 2002 Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions. Zbl 1304.42043 Mo, Hui-Xia; Lu, Shan-Zhen 8 2014 Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011 Lin, Yan; Lu, Guozhen; Lu, Shanzhen 8 2019 Oscillatory singular integral operators with variable Calderón-Zygmund kernels. Zbl 0957.42008 Lu, Shanzhen; Yang, Dachun; Zhou, Zusheng 7 1999 \(L^p\) boundedness of a parabolic Littlewood-Paley operator with rough kernel belonging to \(F_\alpha (S^{n-1})\). Zbl 1240.42097 Chen, Dongxiang; Lu, Shanzhen 7 2011 Hardy spaces estimates for multilinear operators with homogeneous kernels. Zbl 1036.42015 Ding, Yong; Lu, Shanzhen 7 2003 Some new Hardy spaces associated with Herz spaces and their wavelet characterizations. Zbl 0782.42019 Lu, Shanzhen; Yang, Dachun 7 1993 Conjectures and problems on Bochner-Riesz means. Zbl 1306.42010 Lu, Shanzhen 7 2013 Boundedness of multilinear singular integral operators on Hardy and Herz-type spaces. Zbl 1213.42049 Lin, Yan; Lu, Shanzhen 6 2007 The applications of weak Herz spaces. Zbl 0915.42012 Hu, Guoen; Lu, Shanzhen; Yang, Dachun 6 1997 Pseudo-differential operators on Sobolev and Lipschitz spaces. Zbl 1185.42012 Lin, Yan; Lu, Shan Zhen 6 2010 Two-weight weak-type norm inequalities for the commutators of fractional integrals. Zbl 1072.42012 Liu, Zongguang; Lu, Shanzhen 6 2004 A class of oscillatory singular integrals. Zbl 1078.42006 Lu, Shanzhen 6 2005 Transference and restriction of maximal multiplier operators on Hardy spaces. Zbl 0812.42010 Liu, Zhixin; Lu, Shanzhen 6 1993 Some recent progress of \(n\)-dimensional Hardy operators. Zbl 1313.42001 Lu, Shanzhen 6 2013 Vector-valued singular integral operators with non-smooth kernels and related multilinear commutators. Zbl 1159.42012 Mo, Hui-Xia; Lu, Shan-Zhen 6 2007 Two characterizations of central BMO space via the commutators of Hardy operators. Zbl 1491.42035 Fu, Zunwei; Lu, Shanzhen; Shi, Shaoguang 6 2021 Two characterizations of central BMO space via the commutators of Hardy operators. Zbl 1491.42035 Fu, Zunwei; Lu, Shanzhen; Shi, Shaoguang 6 2021 Function characterizations via commutators of Hardy operator. Zbl 1468.42018 Lu, Shanzhen 2 2021 On the compactness of commutators of Hardy operators. Zbl 1445.42015 Shi, Shaoguang; Fu, Zunwei; Lu, Shanzhen 17 2020 Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011 Lin, Yan; Lu, Guozhen; Lu, Shanzhen 8 2019 Olsen-type inequalities for the generalized commutator of multilinear fractional integrals. Zbl 1424.42039 Yu, Xiao; Lu, Shanzhen 3 2018 Further results on almost resolvable cycle systems and the Hamilton-Waterloo problem. Zbl 1391.05212 Wang, L.; Lu, S.; Cao, Haitao 1 2018 Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals. Zbl 1366.42019 Chen, Dongxiang; Lu, Shanzhen; Mao, Suzhen 2 2017 \(p\)-adic central function spaces and singular integral operators. Zbl 1389.42039 Wu, Qingyan; Lu, Shanzhen; Fu, Zunwei 1 2017 Weighted multilinear Hardy operators and commutators. Zbl 1331.42016 Fu, Zun Wei; Gong, Shu Li; Lu, Shan Zhen; Yuan, Wen 32 2015 Characterization of the central Campanato space via the commutator operator of Hardy type. Zbl 1317.42022 Shi, Shaoguang; Lu, Shanzhen 18 2015 The best bound for \(n\)-dimensional fractional Hardy operators. Zbl 1307.26026 Zhao, Fayou; Lu, Shanzhen 10 2015 A characterization of Campanato space via commutator of fractional integral. Zbl 1302.42032 Shi, Shaoguang; Lu, Shanzhen 8 2014 Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions. Zbl 1304.42043 Mo, Hui-Xia; Lu, Shan-Zhen 8 2014 Some one-sided estimates for oscillatory singular integrals. Zbl 1293.42013 Fu, Zunwei; Lu, Shanzhen; Pan, Yibiao; Shi, Shaoguang 5 2014 \(M_{p}\) weights for bilinear Hardy operators on \(\mathbb R ^{n}\). Zbl 1305.26042 Zhao, Fayou; Fu, Zunwei; Lu, Shanzhen 4 2014 Boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces. Zbl 1472.42017 Fu, Zunwei; Lu, Shanzhen; Pan, Yibiao; Shi, Shaoguang 2 2014 Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators. Zbl 1279.42023 Fu, Zun Wei; Wu, Qing Yan; Lu, Shan Zhen 31 2013 Sharp bounds for Hardy type operators on higher-dimensional product spaces. Zbl 1284.26022 Lu, Shanzhen; Yan, Dunyan; Zhao, Fayou 18 2013 Bochner-Riesz means on Euclidean spaces. Zbl 1281.42003 Lu, Shanzhen; Yan, Dunyan 16 2013 Some characterizations of Campanato spaces via commutators on Morrey spaces. Zbl 1273.42015 Shi, Shaoguang; Lu, Shanzhen 13 2013 A characterization of \(\lambda\)-central BMO space. Zbl 1260.47035 Zhao, Fayou; Lu, Shanzhen 11 2013 Conjectures and problems on Bochner-Riesz means. Zbl 1306.42010 Lu, Shanzhen 7 2013 Some recent progress of \(n\)-dimensional Hardy operators. Zbl 1313.42001 Lu, Shanzhen 6 2013 Endpoint estimates for generalized commutators of Hardy operators on \(H^1\) space. Zbl 1383.42016 Yu, Xiao; Lu, Shanzhen 4 2013 Boundedness of oscillatory integral operators and their commutators on weighted Morrey spaces. Zbl 1488.42083 Shi, Shaoguang; Fu, Zunwei; Lu, Shanzhen 1 2013 Sharp bounds for \(m\)-linear Hardy and Hilbert operators. Zbl 1248.42020 Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou 55 2012 Endpoint estimates for \(n\)-dimensional Hardy operators and their commutators. Zbl 1257.26015 Zhao, FaYou; Fu, ZunWei; Lu, ShanZhen 23 2012 The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. Zbl 1242.46025 Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou 13 2012 Explicit constants for hardy’s inequality with power weight on \(n\)-dimensional product spaces. Zbl 1258.42020 Wang, ShiMo; Lu, ShanZhen; Yan, DunYan 11 2012 Weighted estimates for iterated commutators of multilinear fractional operators. Zbl 1261.42026 Si, Zeng Yan; Lu, Shan Zhen 6 2012 A weighted variant of Riemann-Liouville fractional integrals on \(\mathbb R^n\). Zbl 1253.26009 Fu, Zun Wei; Lu, Shan Zhen; Yuan, Wen 5 2012 The continuity of some operators on Herz-type Hardy spaces on the Heisenberg group. Zbl 1239.42006 Liu, Mingju; Lu, Shanzhen 1 2012 Commutators of \(n\)-dimensional rough Hardy operators. Zbl 1226.47050 Fu, ZunWei; Lu, ShanZhen; Zhao, FaYou 18 2011 On weighted weak type norm inequalities for one-sided oscillatory singular integrals. Zbl 1257.42022 Fu, Zunwei; Lu, Shanzhen; Sato, Shuichi; Shi, Shaoguang 8 2011 \(L^p\) boundedness of a parabolic Littlewood-Paley operator with rough kernel belonging to \(F_\alpha (S^{n-1})\). Zbl 1240.42097 Chen, Dongxiang; Lu, Shanzhen 7 2011 Weighted estimates for the multilinear singular integral operators with non-smooth kernels. Zbl 1222.42020 Hu, Guoen; Lu, Shanzhen 5 2011 One-sided Triebel-Lizorkin space and its applications. Zbl 1488.42072 Fu, Zunwei; Lu, Shanzhen 4 2011 Some results and problems on commutators. Zbl 1227.42016 Lu, Shanzhen 3 2011 \(L^{p}\) boundedness for commutators of parabolic Littlewood-Paley operators with rough kernels. Zbl 1245.42018 Chen, Dongxiang; Lu, Shanzhen 3 2011 Weighted estimates for commutators of one-sided oscillatory integral operators. Zbl 1284.42041 Shi, Shaoguang; Fu, Zunwei; Lu, Shanzhen 3 2011 Commutators of Bochner-Riesz operators for a class of radial functions. Zbl 1240.42033 Xia, Xia; Lu, Shanzhen 2 2011 Weighted Hardy operators and commutators on Morrey spaces. Zbl 1206.42027 Fu, Zunwei; Lu, Shanzhen 13 2010 Pseudo-differential operators on Sobolev and Lipschitz spaces. Zbl 1185.42012 Lin, Yan; Lu, Shan Zhen 6 2010 CBMO estimates for multilinear Hardy operators. Zbl 1202.42031 Lu, Shan Zhen; Zhao, Fa You 6 2010 Commutators of weighted Hardy operators on \(\mathbb {R}^{n}\). Zbl 1174.42018 Fu, Zun Wei; Liu, Zong Guang; Lu, Shan Zhen 25 2009 Toeplitz-type operators on Lebesgue spaces. Zbl 1199.42074 Lu, Shanzhen; Ma, Huixia 10 2009 Commutators of generalized Hardy operators. Zbl 1173.42009 Fu, Zunwei; Lu, Shanzhen 10 2009 \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels. Zbl 1142.42004 Fu, Zun Wei; Lin, Yan; Lu, Shan Zhen 39 2008 Strongly singular Calderón-Zygmund operators and their commutators. Zbl 1279.42018 Lin, Yan; Lu, Shanzhen 27 2008 Boundedness of multilinear commutators of generalized fractional integrals. Zbl 1206.42014 Mo, Huixia; Lu, Shanzhen 5 2008 Multipliers and Herz type spaces. Zbl 1176.42009 Lu, ShanZhen 3 2008 New Hardy spaces associated with some anisotropic Herz spaces and their applications. Zbl 1176.42018 Ding, Yong; Lan, Senhua; Lu, Shanzhen 3 2008 Boundedness of multilinear operators related to fractional integral with rough kernel on Hardy spaces. Zbl 1174.42319 Han, Haiyan; Lu, Shanzhen 2 2008 Marcinkiewicz integral with rough kernels. Zbl 07759232 Lu, Shanzhen 2 2008 Boundedness of commutators of an oscillatory integral operator. Zbl 1213.42054 Xia, Xia; Lu, Shanzhen 1 2008 Singular integrals and related topics. Zbl 1124.42011 Lu, Shanzhen; Ding, Yong; Yan, Dunyan 88 2007 Characterization for commutators of \(n\)-dimensional fractional Hardy operators. Zbl 1131.42012 Fu, Zunwei; Liu, Zongguang; Lu, Shanzhen; Wang, Hongbin 47 2007 Parametrized Littlewood-Paley operators on Hardy and weak Hardy spaces. Zbl 1133.42030 Ding, Yong; Lu, Shanzhen; Xue, Qingying 15 2007 Boundedness of commutators on Hardy-type spaces. Zbl 1134.42314 Lin, Yan; Lu, Shanzhen 11 2007 Parametrized area integrals on Hardy spaces and weak Hardy spaces. Zbl 1123.42003 Ding, Yong; Lu, Shan Zhen; Xue, Qing Ying 8 2007 Boundedness of multilinear singular integral operators on Hardy and Herz-type spaces. Zbl 1213.42049 Lin, Yan; Lu, Shanzhen 6 2007 Vector-valued singular integral operators with non-smooth kernels and related multilinear commutators. Zbl 1159.42012 Mo, Hui-Xia; Lu, Shan-Zhen 6 2007 Boundedness of generalized higher commutators of Marcinkiewicz integrals. Zbl 1150.42010 Mo, Huixia; Lu, Shanzhen 4 2007 A note on commutators of Bochner-Riesz operator. Zbl 1260.42007 Lu, Shanzhen; Xia, Xia 4 2007 Applications of some block spaces to singular integrals. Zbl 1202.42032 Lu, Shanzhen 4 2007 Global regularity in homogeneous Morrey-Herz spaces of solutions to nondivergence elliptic equations with VMO coefficients. Zbl 1142.35383 Lu, Shanzhen; Tao, Shuangping 3 2007 Boundedness for commutators of Bochner-Riesz operators below a critical index. Zbl 1134.42003 Lu, Shan-zhen; Xia, Xia 2 2007 Remarks on \(g\)-functions on \(\mathbb H^n\). Zbl 1113.42016 Liu, Mingju; Lu, Shanzhen 2 2007 The boundedness for commutators of multipliers. Zbl 1118.42004 Li, Wen-Ming; Lu, Shan-Zhen; Mo, Hui-Xia 1 2007 The initial-boundary value problem for the modified Kawahara equation on the half line. Zbl 1121.42305 Tao, Shuangping; Lu, Shanzhen 1 2007 Toeplitz operators related to strongly singular Calderón–Zygmund operators. Zbl 1118.47019 Lin, Yan; Lu, Shanzhen 16 2006 Multilinear singular and fractional integrals. Zbl 1129.42352 Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô 10 2006 Integral operators with variable kernels on weak Hardy spaces. Zbl 1099.47040 Ding, Yong; Lu, Shanzhen; Shao, Shuanglin 8 2006 The boundedness of commutators for the Marcinkiewicz integrals. Zbl 1187.42019 Lu, Shanzhen; Mo, Huixia 5 2006 Strongly singular integral operators on weighted Hardy space. Zbl 1129.42382 Li, Junfeng; Lu, Shanzhen 5 2006 Boundedness of higher-order Marcinkiewicz-type integrals. Zbl 1123.45008 Lu, Shanzhen; Mo, Huixia 4 2006 Multilinear Calderón-Zygmund operator on Morrey type spaces. Zbl 1213.42048 Lin, Yan; Lu, Shanzen 4 2006 Boundedness of some Marcinkiewicz integral operators related to higher order commutators on Hardy spaces. Zbl 1129.42368 Lu, Shanzhen; Xu, Lifang 2 2006 \(L^{p}\) estimates for multilinear operators of strongly singular integral operators. Zbl 1100.42011 Li, Junfeng; Lu, Shanzhen 1 2006 Continuity for maximal multilinear Bochner-Riesz operators on Hardy and Herz-Hardy spaces. Zbl 1129.42366 Liu, Lanzhe; Lu, Shanzhen 1 2006 Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces. Zbl 1081.42012 Lu, Shanzhen; Xu, Lifang 31 2005 A class of oscillatory singular integrals. Zbl 1078.42006 Lu, Shanzhen 6 2005 Boundedness of some fractional integral operators on weighted Herz type Hardy spaces. Zbl 1074.42007 Lan, Jiacheng; Lu, Shanzhen 2 2005 Continuity of higher order commutators on certain Hardy spaces. Zbl 1137.42309 Ding, Yong; Lu, Shanzhen; Zhang, Pu 1 2005 The boundedness of multilinear operators of strongly singular integral operators on Hardy spaces. Zbl 1089.42007 Li, Junfeng; Lu, Shanzhen 1 2005 Weighted weak type estimates for commutators of the Marcinkiewicz integrals. Zbl 1217.42029 Ding, Yong; Lu, Shanzhen; Zhang, Pu 15 2004 CBMO estimates for commutators and multilinear singular integrals. Zbl 1081.42011 Lu, Shanzhen; Wu, Qiang 11 2004 Two-weight weak-type norm inequalities for the commutators of fractional integrals. Zbl 1072.42012 Liu, Zongguang; Lu, Shanzhen 6 2004 On the commutators of singular integrals related to block spaces. Zbl 1057.42015 Lu, Shanzhen; Wu, Hoxiong 4 2004 A class of multilinear oscillatory singular integrals related to block spaces. Zbl 1059.42012 Lu, Shanzhen; Wu, Huoxiong 4 2004 Applications of the scale changing method to boundedness of certain commutators. Zbl 1083.42013 Li, Junfeng; Lu, Shanzhen 3 2004 Boundedness of commutators related to Marcinkiewicz integrals on Hardy type spaces. Zbl 1078.42007 Lu, Shanzhen; Xu, Lifang 2 2004 Weighted Lipschitz estimates for the multilinear fractional integrals. Zbl 1079.42005 Lan, Jiacheng; Lu, Shanzhen 1 2004 The commutators of fractional integrals on Besov spaces. Zbl 1050.42012 Chen, Wen Gu; Lu, Shan Zhen 1 2004 Boundedness criterion for multilinear oscillatory integrals with rough kernels. Zbl 1078.42004 Chen, Wengu; Lu, Shanzhen 1 2004 Lipschitz estimates for generalized commutators of fractional integrals with rough kernel. Zbl 1049.42009 Lu, Shanzhen; Zhang, Pu 10 2003 \(L^{p} (\mathbb R^{m} \times \mathbb R^{n})\) boundedness for the Marcinkiewicz integral on product spaces. Zbl 1217.42032 Hu, Guoen; Lu, Shanzhen; Yan, Dunyan 9 2003 Multilinear singular integrals with rough kernel. Zbl 1023.42009 Lu, Shan Zhen; Wu, Huo Xiong; Zhang, Pu 9 2003 Weighted weak type inequalities for maximal commutators of Bochner-Riesz operator. Zbl 1034.42015 Liu, Lanzhe; Lu, Shanzhen 9 2003 Oscillatory singular integrals and commutators with rough kernels. Zbl 1054.42012 Lu, Shanzhen; Wu, Huoxiong 8 2003 ...and 101 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 783 Authors 74 Lu, Shanzhen 70 Yang, Dachun 42 Wu, Huoxiong 39 Ding, Yong 37 Guliyev, Vagif Sabir 34 Fan, Dashan 32 Fu, Zunwei 30 Yan, Dunyan 29 Yuan, Wen 26 Ho, Kwok-Pun 25 Chen, Jiecheng 25 Xue, Qingying 23 Lin, Yan 23 Wei, Mingquan 20 Liu, Feng 19 Wang, Hua 18 Chen, Yanping 18 Duong, Dao Van 18 Liu, Lanzhe 18 Zhang, Pu 18 Zhao, Fayou 16 Shi, Shaoguang 16 Xu, Jingshi 16 Yu, Xiao 16 Zhou, Jiang 15 Nguyen Minh Chuong 15 Tao, Shuangping 14 Wang, Hongbin 13 Tang, Lin 13 Wang, Liwei 13 Weisz, Ferenc 12 Akbulut, Ali 12 Al-Salman, Ahmad 12 Drihem, Douadi 12 Hussain, Amjad 12 Liu, Zongguang 12 Tao, Xiangxing 12 Yabuta, Kôzô 12 Zhang, Yangyang 11 Dung, Kieu Huu 11 Gürbüz, Ferit 11 He, Qianjun 10 Jiang, Yinsheng 10 Liu, Liguang 10 Lu, Guanghui 10 Matsuoka, Katsuo 10 Pan, Yibiao 10 Sawano, Yoshihiro 10 Si, Zengyan 10 Wu, Qingyan 9 Liu, Ronghui 9 Sarfraz, Naqash 9 Serbetci, Ayhan 9 Shu, Lisheng 9 Wang, Songbai 9 Zhao, Jiman 8 Chen, Dazhao 8 Gao, Guilian 8 He, Ziyi 8 Li, Baode 8 Wang, Yueshan 7 Cheng, Leslie C. 7 Hu, Yue 7 Iida, Takeshi 7 Izuki, Mitsuo 7 Lan, Jiacheng 7 Lee, Ming-Yi 7 Liu, Jun 7 Ma, Bolin 7 Pradolini, Gladis G. 7 Rafeiro, Humberto 7 Ragusa, Maria Alessandra 7 Samko, Natasha 7 Tao, Jin 6 Chen, Dongxiang 6 Ekincioglu, Ismail 6 Hu, Guoen 6 Jia, Hongchao 6 Omarova, Mehriban N. 6 Qu, Meng 6 Shi, Yanlong 5 Aslam, Muhammad 5 Grafakos, Loukas 5 Hamzayev, Vugar H. 5 He, Suixin 5 Huang, Long 5 Li, Hongliang 5 Li, Junfeng 5 Lin, Chincheng 5 Mizuta, Yoshihiro 5 Ruan, Jianmiao 5 Scapellato, Andrea 5 Shimomura, Tetsu 5 Sun, Wenchang 5 Tao, Wenyu 5 Wen, Yongming 5 Xie, Rulong 5 Yao, Fengping 5 Zhang, Chunjie 5 Zhang, Jing ...and 683 more Authors all top 5 Cited in 209 Serials 82 Acta Mathematica Sinica. English Series 73 Journal of Inequalities and Applications 57 Journal of Function Spaces 47 Journal of Mathematical Analysis and Applications 43 Analysis in Theory and Applications 30 Frontiers of Mathematics in China 29 Applied Mathematics. Series B (English Edition) 25 Science China. Mathematics 24 Mathematische Nachrichten 21 Journal of Mathematical Inequalities 17 Science in China. Series A 17 The Journal of Geometric Analysis 16 Journal of Function Spaces and Applications 16 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 16 Open Mathematics 15 Mathematical Inequalities & Applications 14 Abstract and Applied Analysis 13 The Journal of Fourier Analysis and Applications 13 Journal of Pseudo-Differential Operators and Applications 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Forum Mathematicum 11 Proceedings of the American Mathematical Society 11 Bulletin of the Korean Mathematical Society 11 Potential Analysis 11 Advances in Operator Theory 10 Analysis Mathematica 10 Integral Equations and Operator Theory 10 Positivity 10 Analysis and Mathematical Physics 9 Banach Journal of Mathematical Analysis 9 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 8 Rocky Mountain Journal of Mathematics 8 Czechoslovak Mathematical Journal 8 Journal of Functional Analysis 8 Tôhoku Mathematical Journal. Second Series 8 Acta Mathematica Scientia. Series B. (English Edition) 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Mediterranean Journal of Mathematics 8 Annals of Functional Analysis 7 Transactions of the American Mathematical Society 7 Integral Transforms and Special Functions 7 Fractional Calculus & Applied Analysis 7 Journal of the Australian Mathematical Society 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Results in Mathematics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Georgian Mathematical Journal 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Applicable Analysis 5 Mathematical Notes 5 Chinese Annals of Mathematics. Series B 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Revista Matemática Complutense 5 Analysis and Applications (Singapore) 5 Complex Variables and Elliptic Equations 5 Complex Analysis and Operator Theory 5 Journal of Nonlinear Science and Applications 5 AIMS Mathematics 4 Mathematical Methods in the Applied Sciences 4 Ukrainian Mathematical Journal 4 Collectanea Mathematica 4 Journal of the Korean Mathematical Society 4 Mathematische Zeitschrift 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 4 Communications on Pure and Applied Analysis 4 Kyoto Journal of Mathematics 4 Journal of Mathematical Research with Applications 4 Analysis and Geometry in Metric Spaces 3 Journal d’Analyse Mathématique 3 Archiv der Mathematik 3 International Journal of Mathematics and Mathematical Sciences 3 Nagoya Mathematical Journal 3 Journal of Mathematical Sciences (New York) 3 Taiwanese Journal of Mathematics 3 Boundary Value Problems 3 Acta Mathematica Sinica. Chinese Series 3 Tbilisi Mathematical Journal 3 Eurasian Mathematical Journal 3 Transactions of A. Razmadze Mathematical Institute 2 Computers & Mathematics with Applications 2 Indian Journal of Pure & Applied Mathematics 2 Israel Journal of Mathematics 2 Acta Mathematica Vietnamica 2 Advances in Mathematics 2 Dissertationes Mathematicae 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Monatshefte für Mathematik 2 Tokyo Journal of Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Bulletin of the Iranian Mathematical Society 2 Constructive Approximation 2 Applied Mathematics Letters 2 Journal of Integral Equations and Applications 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 109 more Serials all top 5 Cited in 34 Fields 1,001 Harmonic analysis on Euclidean spaces (42-XX) 315 Functional analysis (46-XX) 260 Operator theory (47-XX) 116 Real functions (26-XX) 97 Partial differential equations (35-XX) 47 Abstract harmonic analysis (43-XX) 32 Functions of a complex variable (30-XX) 20 Approximations and expansions (41-XX) 17 Topological groups, Lie groups (22-XX) 13 Potential theory (31-XX) 12 Integral transforms, operational calculus (44-XX) 11 Integral equations (45-XX) 9 Number theory (11-XX) 7 Numerical analysis (65-XX) 5 Special functions (33-XX) 5 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Fluid mechanics (76-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year