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Lu, Shanzhen

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Author ID: lu.shanzhen Recent zbMATH articles by "Lu, Shanzhen"
Published as: Lu, S.; Lu, Shan Zhen; Lu, Shan-Zhen; Lu, Shan-zhen; Lu, ShanZhen; Lu, Shanzen; Lu, Shanzhen
External Links: MGP · dblp · GND
Documents Indexed: 275 Publications since 1980, including 3 Books
Biographic References: 1 Publication
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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
11 Approximation Theory and its Applications
9 Frontiers of Mathematics in China
8 Proceedings of the American Mathematical Society
7 Journal of Mathematical Analysis and Applications
7 Mathematische Nachrichten
7 Advances in Mathematics
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 Tohoku 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 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 Forum Mathematicum
2 Georgian Mathematical Journal
2 International Journal of Applied Mathematical Sciences
2 Journal of Mathematical Inequalities
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 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

Publications by Year

Citations contained in zbMATH Open

183 Publications have been cited 1,590 times in 780 Documents Cited by Year
Four lectures on real \(H^ p\) spaces. Zbl 0839.42005
Lu, Shanzhen
69
1995
Singular integrals and related topics. Zbl 1124.42011
Lu, Shanzhen; Ding, Yong; Yan, Dunyan
58
2007
Weighted norm inequalities for fractional integral operators with rough kernel. Zbl 0905.42010
Ding, Yong; Lu, Shanzhen
42
1998
The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications. Zbl 0830.42014
Lu, Shanzhen; Yang, Dachun
41
1995
The central BMO spaces and Littlewood-Paley operators. Zbl 0857.42009
Lu, Shanzhen; Yang, Dachun
40
1995
The weighted Herz-type Hardy space and its applications. Zbl 0832.42013
Lu, Shanzhen; Yang, Dachun
40
1995
Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients. Zbl 0917.35017
Fan, Dashan; Lu, Shanzhen; Yang, Dachun
34
1998
Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels. Zbl 0786.42007
Lu, Shanzhen; Zhang, Yan
34
1992
On commutators of Marcinkiewicz integrals with rough kernel. Zbl 1019.42009
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
33
2002
Sharp bounds for \(m\)-linear Hardy and Hilbert operators. Zbl 1248.42020
Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou
32
2012
Characterization for commutators of \(n\)-dimensional fractional Hardy operators. Zbl 1131.42012
Fu, Zunwei; Liu, Zongguang; Lu, Shanzhen; Wang, Hongbin
31
2007
A problem on rough parametric Marcinkiewicz functions. Zbl 0993.42008
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
31
2002
Higher order commutators for a class of rough operators. Zbl 1038.42013
Ding, Young; Lu, Shanzhen
28
1999
\(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels. Zbl 1142.42004
Fu, Zun Wei; Lin, Yan; Lu, Shan Zhen
27
2008
Weighted boundedness for a class of rough multilinear operators. Zbl 0985.42011
Ding, Yong; Lu, Shanzhen
27
2001
The local versions of \(H^p(\mathbb{R}^n)\) spaces at the origin. Zbl 0935.42012
Lu, Shanzhen; Yang, Dachun
26
1995
Homogeneous fractional integrals on Hardy spaces. Zbl 0959.42011
Ding, Yong; Lu, Shanzhen
25
2000
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
25
1992
Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces. Zbl 1081.42012
Lu, Shanzhen; Xu, Lifang
23
2005
The continuity of commutators on Herz-type spaces. Zbl 0913.42016
Lu, Shanzhen; Yang, Dachun
23
1997
Boundedness of operators in Morrey spaces on homogeneous spaces and its applications. Zbl 0916.43006
Fan, Dashan; Lu, Shanzhen; Yang, Dachun
21
1998
Marcinkiewicz integral on Hardy spaces. Zbl 0994.42013
Ding, Yong; Lu, Shanzhen; Xue, Qingying
20
2002
Boundedness of some sublinear operators in weighted Herz-type spaces. Zbl 0986.42010
Lu, Shanzhen; Yabuta, Kôzô; Yang, Dachun
20
2000
Hardy-Littlewood-Sobolev theorems of fractional integration on Herz-type spaces and its applications. Zbl 0893.42005
Lu, Shanzhen; Yang, Dachun
19
1996
Commutators of weighted Hardy operators on \(\mathbb {R}^{n}\). Zbl 1174.42018
Fu, Zun Wei; Liu, Zong Guang; Lu, Shan Zhen
18
2009
Boundedness of commutators on Hardy type spaces. Zbl 1098.42009
Lu, Shanzhen; Wu, Qiang; Yang, Dachun
18
2002
Endpoint estimates for \(n\)-dimensional Hardy operators and their commutators. Zbl 1257.26015
Zhao, FaYou; Fu, ZunWei; Lu, ShanZhen
17
2012
Weak estimates for commutators of fractional integral operators. Zbl 1014.42012
Ding, Yong; Lu, Shanzhen; Zhang, Pu
17
2001
Oscillatory singular integrals with rough kernel. Zbl 0837.42004
Jiang, Yinsheng; Lu, Shanzhen
17
1995
Sublinear operators with rough kernel on generalized Morrey spaces. Zbl 0895.42005
Lu, Shanzhen; Yang, Dachun; Zhou, Zusheng
16
1998
Parametrized Littlewood-Paley operators on Hardy and weak Hardy spaces. Zbl 1133.42030
Ding, Yong; Lu, Shanzhen; Xue, Qingying
15
2007
Singular integrals and commutators on homogeneous groups. Zbl 1026.43007
Lu, Guozhen; Lu, Shanzhen; Yang, Dachun
15
2002
Some characterizations of weighted Herz-type Hardy spaces and their applications. Zbl 0887.42015
Lu, Shanzhen; Yang, Dachun
15
1997
Strongly singular Calderón-Zygmund operators and their commutators. Zbl 1279.42018
Lin, Yan; Lu, Shanzhen
14
2008
Weighted multilinear Hardy operators and commutators. Zbl 1331.42016
Fu, Zun Wei; Gong, Shu Li; Lu, Shan Zhen; Yuan, Wen
13
2015
Herz-type Sobolev and Bessel potential spaces and their applications. Zbl 0901.46027
Lu, Shanzhen; Yang, Dachun
13
1997
Boundedness of rough singular integral operators on homogeneous Herz spaces. Zbl 0927.42010
Hu, Guoen; Lu, Shanzhen; Yang, Dachun
12
1999
Commutators of \(n\)-dimensional rough Hardy operators. Zbl 1226.47050
Fu, ZunWei; Lu, ShanZhen; Zhao, FaYou
11
2011
Weighted weak type estimates for commutators of the Marcinkiewicz integrals. Zbl 1217.42029
Ding, Yong; Lu, Shanzhen; Zhang, Pu
11
2004
Rough singular integrals associated to surfaces of revolution. Zbl 0976.42009
Lu, Shanzhen; Pan, Yibiao; Yang, Dachun
11
2001
Weighted \(L^ p\)-boundedness for higher order commutators of oscillatory singular integrals. Zbl 0873.42009
Ding, Yong; Lu, Shanzhen
11
1996
Oscillatory singular integrals on Hardy spaces associated with Herz spaces. Zbl 0830.42008
Lu, Shanzhen; Yang, Dachun
11
1995
Sharp bounds for Hardy type operators on higher-dimensional product spaces. Zbl 1284.26022
Lu, Shanzhen; Yan, Dunyan; Zhao, Fayou
10
2013
On Marcinkiewicz integral with homogeneous kernels. Zbl 0961.42014
Ding, Yong; Lu, Shanzhen; Xue, Qingying
10
2000
The weak Herz spaces. Zbl 0887.42016
Hu, Guoen; Lu, Shanzhen; Yang, Dachun
10
1997
Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators. Zbl 1279.42023
Fu, Zun Wei; Wu, Qing Yan; Lu, Shan Zhen
9
2013
Weighted Hardy operators and commutators on Morrey spaces. Zbl 1206.42027
Fu, Zunwei; Lu, Shanzhen
9
2010
Multilinear singular and fractional integrals. Zbl 1129.42352
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
9
2006
Lipschitz estimates for generalized commutators of fractional integrals with rough kernel. Zbl 1049.42009
Lu, Shanzhen; Zhang, Pu
9
2003
\(L^ p\)-boundedness of multilinear oscillatory singular integrals with Calderón-Zygmund kernel. Zbl 1054.42013
Lu, Shanzhen; Yan, Dunyan
9
2002
Inhomogeneous Besov and Triebel-Lizorkin spaces on spaces of homgeneous type. Zbl 0957.46025
Han, Yongsheng; Lu, Shanzhen; Yang, Dachun
9
1999
Criterion of \((L^p,L^r)\) boundedness for a class of multilinear oscillatory singular integrals. Zbl 0929.42008
Chen, Wengu; Hu, Guoen; Lu, Shanzhen
9
1998
The commutator of the Bochner-Riesz operator. Zbl 0889.42011
Hu, Guoen; Lu, Shanzhen
9
1996
A class of singular integral operators with rough kernel on product domains. Zbl 0830.42006
Jiang, Yinsheng; Lu, Shanzhen
9
1995
The weighted norm inequality for a class of oscillatory integral operators. Zbl 0801.42009
Lu, Shanzhen; Zhang, Yan
9
1992
Bochner-Riesz means on Euclidean spaces. Zbl 1281.42003
Lu, Shanzhen; Yan, Dunyan
8
2013
The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. Zbl 1242.46025
Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou
8
2012
Commutators of generalized Hardy operators. Zbl 1173.42009
Fu, Zunwei; Lu, Shanzhen
8
2009
Parametrized area integrals on Hardy spaces and weak Hardy spaces. Zbl 1123.42003
Ding, Yong; Lu, Shan Zhen; Xue, Qing Ying
8
2007
CBMO estimates for commutators and multilinear singular integrals. Zbl 1081.42011
Lu, Shanzhen; Wu, Qiang
8
2004
Multilinear singular integrals with rough kernel. Zbl 1023.42009
Lu, Shan Zhen; Wu, Huo Xiong; Zhang, Pu
8
2003
Continuity of higher order commutators on certain Hardy spaces. Zbl 1024.42008
Ding, Yong; Lu, Shanzhen; Zhang, Pu
8
2002
Inhomogeneous discrete Calderón reproducing formulas for spaces of homogeneous type. Zbl 0991.43004
Han, Yongsheng; Lu, Shanzhen; Yang, Dachun
8
2001
Explicit constants for hardy’s inequality with power weight on \(n\)-dimensional product spaces. Zbl 1258.42020
Wang, ShiMo; Lu, ShanZhen; Yan, DunYan
7
2012
On weighted weak type norm inequalities for one-sided oscillatory singular integrals. Zbl 1257.42022
Fu, Zunwei; Lu, Shanzhen; Sato, Shuichi; Shi, Shaoguang
7
2011
Toeplitz operators related to strongly singular Calderón–Zygmund operators. Zbl 1118.47019
Lin, Yan; Lu, Shanzhen
7
2006
Integral operators with variable kernels on weak Hardy spaces. Zbl 1099.47040
Ding, Yong; Lu, Shanzhen; Shao, Shuanglin
7
2006
\(L^{p} (\mathbb R^{m} \times \mathbb R^{n})\) boundedness for the Marcinkiewicz integral on product spaces. Zbl 1217.42032
Hu, Guoen; Lu, Shanzhen; Yan, Dunyan
7
2003
Oscillatory singular integrals and commutators with rough kernels. Zbl 1054.42012
Lu, Shanzhen; Wu, Huoxiong
7
2003
Weighted weak type inequalities for maximal commutators of Bochner-Riesz operator. Zbl 1034.42015
Liu, Lanzhe; Lu, Shanzhen
7
2003
Boundedness of homogeneous fractional integrals on \(L^p\) for \(N/\alpha{\leq}p{\leq}{\infty}\). Zbl 1031.42015
Ding, Yong; Lu, Shanzhen
7
2002
Multiplier theorems for Herz type Hardy spaces. Zbl 0905.42007
Lu, Shanzhen; Yang, Dachun
7
1998
The decomposition of Herz spaces on local fields and its applications. Zbl 0844.43008
Lu, Shanzhen; Yang, Dachun
7
1995
\(L^ p\) boundedness of a class of maximal singular integral operators. Zbl 0759.42013
Jiang, Yinsheng; Lu, Shanzhen
7
1992
The best bound for \(n\)-dimensional fractional Hardy operators. Zbl 1307.26026
Zhao, Fayou; Lu, Shanzhen
6
2015
Weighted estimates for iterated commutators of multilinear fractional operators. Zbl 1261.42026
Si, Zeng Yan; Lu, Shan Zhen
6
2012
\(L^p\) boundedness of a parabolic Littlewood-Paley operator with rough kernel belonging to \(F_\alpha (S^{n-1})\). Zbl 1240.42097
Chen, Dongxiang; Lu, Shanzhen
6
2011
Toeplitz-type operators on Lebesgue spaces. Zbl 1199.42074
Lu, Shanzhen; Ma, Huixia
6
2009
Boundedness of commutators on Hardy-type spaces. Zbl 1134.42314
Lin, Yan; Lu, Shanzhen
6
2007
Hardy spaces estimates for multilinear operators with homogeneous kernels. Zbl 1036.42015
Ding, Yong; Lu, Shanzhen
6
2003
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
6
1996
Some new Hardy spaces associated with Herz spaces and their wavelet characterizations. Zbl 0782.42019
Lu, Shanzhen; Yang, Dachun
6
1993
Characterization of the central Campanato space via the commutator operator of Hardy type. Zbl 1317.42022
Shi, Shaoguang; Lu, Shanzhen
5
2015
Conjectures and problems on Bochner-Riesz means. Zbl 1306.42010
Lu, Shanzhen
5
2013
Some characterizations of Campanato spaces via commutators on Morrey spaces. Zbl 1273.42015
Shi, Shaoguang; Lu, Shanzhen
5
2013
Pseudo-differential operators on Sobolev and Lipschitz spaces. Zbl 1185.42012
Lin, Yan; Lu, Shan Zhen
5
2010
Vector-valued singular integral operators with non-smooth kernels and related multilinear commutators. Zbl 1159.42012
Mo, Hui-Xia; Lu, Shan-Zhen
5
2007
Boundedness of multilinear singular integral operators on Hardy and Herz-type spaces. Zbl 1213.42049
Lin, Yan; Lu, Shanzhen
5
2007
Two-weight weak-type norm inequalities for the commutators of fractional integrals. Zbl 1072.42012
Liu, Zongguang; Lu, Shanzhen
5
2004
Endpoint estimates for commutators of Calderón-Zygmund type operators. Zbl 1003.42010
Liu, Zongguang; Lu, Shanzhen
5
2002
Multilinear oscillatory integrals with Calderón-Zygmund kernel. Zbl 0954.42008
Lu, Shanzhen
5
1999
Boundedness of commutators on homogeneous Herz spaces. Zbl 0929.42009
Lu, Shanzhen; Tang, Lin; Yang, Dachun
5
1998
The applications of weak Herz spaces. Zbl 0915.42012
Hu, Guoen; Lu, Shanzhen; Yang, Dachun
5
1997
Transference and restriction of maximal multiplier operators on Hardy spaces. Zbl 0812.42010
Liu, Zhixin; Lu, Shanzhen
5
1993
On block decomposition of functions. Zbl 0572.42012
Lu, Shanzhen
5
1984
Some one-sided estimates for oscillatory singular integrals. Zbl 1293.42013
Fu, Zunwei; Lu, Shanzhen; Pan, Yibiao; Shi, Shaoguang
4
2014
A weighted variant of Riemann-Liouville fractional integrals on \(\mathbb R^n\). Zbl 1253.26009
Fu, Zun Wei; Lu, Shan Zhen; Yuan, Wen
4
2012
Weighted estimates for the multilinear singular integral operators with non-smooth kernels. Zbl 1222.42020
Hu, Guoen; Lu, Shanzhen
4
2011
Boundedness of multilinear commutators of generalized fractional integrals. Zbl 1206.42014
Mo, Huixia; Lu, Shanzhen
4
2008
Applications of some block spaces to singular integrals. Zbl 1202.42032
Lu, Shanzhen
4
2007
Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications. Zbl 1409.42011
Lin, Yan; Lu, Guozhen; Lu, Shanzhen
1
2019
Further results on almost resolvable cycle systems and the Hamilton-Waterloo problem. Zbl 1391.05212
Wang, L.; Lu, S.; Cao, Haitao
2
2018
Olsen-type inequalities for the generalized commutator of multilinear fractional integrals. Zbl 1424.42039
Yu, Xiao; Lu, Shanzhen
1
2018
Weighted multilinear Hardy operators and commutators. Zbl 1331.42016
Fu, Zun Wei; Gong, Shu Li; Lu, Shan Zhen; Yuan, Wen
13
2015
The best bound for \(n\)-dimensional fractional Hardy operators. Zbl 1307.26026
Zhao, Fayou; Lu, Shanzhen
6
2015
Characterization of the central Campanato space via the commutator operator of Hardy type. Zbl 1317.42022
Shi, Shaoguang; Lu, Shanzhen
5
2015
Some one-sided estimates for oscillatory singular integrals. Zbl 1293.42013
Fu, Zunwei; Lu, Shanzhen; Pan, Yibiao; Shi, Shaoguang
4
2014
A characterization of Campanato space via commutator of fractional integral. Zbl 1302.42032
Shi, Shaoguang; Lu, Shanzhen
3
2014
Boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces. Zbl 07022102
Fu, Zunwei; Lu, Shanzhen; Pan, Yibiao; Shi, Shaoguang
2
2014
\(M_{p}\) weights for bilinear Hardy operators on \(\mathbb R ^{n}\). Zbl 1305.26042
Zhao, Fayou; Fu, Zunwei; Lu, Shanzhen
2
2014
Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions. Zbl 1304.42043
Mo, Hui-Xia; Lu, Shan-Zhen
2
2014
Sharp bounds for Hardy type operators on higher-dimensional product spaces. Zbl 1284.26022
Lu, Shanzhen; Yan, Dunyan; Zhao, Fayou
10
2013
Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators. Zbl 1279.42023
Fu, Zun Wei; Wu, Qing Yan; Lu, Shan Zhen
9
2013
Bochner-Riesz means on Euclidean spaces. Zbl 1281.42003
Lu, Shanzhen; Yan, Dunyan
8
2013
Conjectures and problems on Bochner-Riesz means. Zbl 1306.42010
Lu, Shanzhen
5
2013
Some characterizations of Campanato spaces via commutators on Morrey spaces. Zbl 1273.42015
Shi, Shaoguang; Lu, Shanzhen
5
2013
Endpoint estimates for generalized commutators of Hardy operators on \(H^1\) space. Zbl 1383.42016
Yu, Xiao; Lu, Shanzhen
3
2013
A characterization of \(\lambda\)-central BMO space. Zbl 1260.47035
Zhao, Fayou; Lu, Shanzhen
3
2013
Some recent progress of \(n\)-dimensional Hardy operators. Zbl 1313.42001
Lu, Shanzhen
2
2013
Sharp bounds for \(m\)-linear Hardy and Hilbert operators. Zbl 1248.42020
Fu, Zunwei; Grafakos, Loukas; Lu, Shanzhen; Zhao, Fayou
32
2012
Endpoint estimates for \(n\)-dimensional Hardy operators and their commutators. Zbl 1257.26015
Zhao, FaYou; Fu, ZunWei; Lu, ShanZhen
17
2012
The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant. Zbl 1242.46025
Grafakos, Loukas; Liu, Liguang; Lu, Shanzhen; Zhao, Fayou
8
2012
Explicit constants for hardy’s inequality with power weight on \(n\)-dimensional product spaces. Zbl 1258.42020
Wang, ShiMo; Lu, ShanZhen; Yan, DunYan
7
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
4
2012
Commutators of \(n\)-dimensional rough Hardy operators. Zbl 1226.47050
Fu, ZunWei; Lu, ShanZhen; Zhao, FaYou
11
2011
On weighted weak type norm inequalities for one-sided oscillatory singular integrals. Zbl 1257.42022
Fu, Zunwei; Lu, Shanzhen; Sato, Shuichi; Shi, Shaoguang
7
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
6
2011
Weighted estimates for the multilinear singular integral operators with non-smooth kernels. Zbl 1222.42020
Hu, Guoen; Lu, Shanzhen
4
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
Some results and problems on commutators. Zbl 1227.42016
Lu, Shanzhen
2
2011
\(L^{p}\) boundedness for commutators of parabolic Littlewood-Paley operators with rough kernels. Zbl 1245.42018
Chen, Dongxiang; Lu, Shanzhen
2
2011
Weighted Hardy operators and commutators on Morrey spaces. Zbl 1206.42027
Fu, Zunwei; Lu, Shanzhen
9
2010
Pseudo-differential operators on Sobolev and Lipschitz spaces. Zbl 1185.42012
Lin, Yan; Lu, Shan Zhen
5
2010
CBMO estimates for multilinear Hardy operators. Zbl 1202.42031
Lu, Shan Zhen; Zhao, Fa You
3
2010
Commutators of weighted Hardy operators on \(\mathbb {R}^{n}\). Zbl 1174.42018
Fu, Zun Wei; Liu, Zong Guang; Lu, Shan Zhen
18
2009
Commutators of generalized Hardy operators. Zbl 1173.42009
Fu, Zunwei; Lu, Shanzhen
8
2009
Toeplitz-type operators on Lebesgue spaces. Zbl 1199.42074
Lu, Shanzhen; Ma, Huixia
6
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
27
2008
Strongly singular Calderón-Zygmund operators and their commutators. Zbl 1279.42018
Lin, Yan; Lu, Shanzhen
14
2008
Boundedness of multilinear commutators of generalized fractional integrals. Zbl 1206.42014
Mo, Huixia; Lu, Shanzhen
4
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
2
2008
Boundedness of multilinear operators related to fractional integral with rough kernel on Hardy spaces. Zbl 1174.42319
Han, Haiyan; Lu, Shanzhen
1
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
58
2007
Characterization for commutators of \(n\)-dimensional fractional Hardy operators. Zbl 1131.42012
Fu, Zunwei; Liu, Zongguang; Lu, Shanzhen; Wang, Hongbin
31
2007
Parametrized Littlewood-Paley operators on Hardy and weak Hardy spaces. Zbl 1133.42030
Ding, Yong; Lu, Shanzhen; Xue, Qingying
15
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 commutators on Hardy-type spaces. Zbl 1134.42314
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
5
2007
Boundedness of multilinear singular integral operators on Hardy and Herz-type spaces. Zbl 1213.42049
Lin, Yan; Lu, Shanzhen
5
2007
Applications of some block spaces to singular integrals. Zbl 1202.42032
Lu, Shanzhen
4
2007
Boundedness of generalized higher commutators of Marcinkiewicz integrals. Zbl 1150.42010
Mo, Huixia; 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
A note on commutators of Bochner-Riesz operator. Zbl 1260.42007
Lu, Shanzhen; Xia, Xia
2
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
Multilinear singular and fractional integrals. Zbl 1129.42352
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
9
2006
Toeplitz operators related to strongly singular Calderón–Zygmund operators. Zbl 1118.47019
Lin, Yan; Lu, Shanzhen
7
2006
Integral operators with variable kernels on weak Hardy spaces. Zbl 1099.47040
Ding, Yong; Lu, Shanzhen; Shao, Shuanglin
7
2006
The boundedness of commutators for the Marcinkiewicz integrals. Zbl 1187.42019
Lu, Shanzhen; Mo, Huixia
3
2006
Boundedness of higher-order Marcinkiewicz-type integrals. Zbl 1123.45008
Lu, Shanzhen; Mo, Huixia
3
2006
Multilinear Calderón-Zygmund operator on Morrey type spaces. Zbl 1213.42048
Lin, Yan; Lu, Shanzen
2
2006
Boundedness of some Marcinkiewicz integral operators related to higher order commutators on Hardy spaces. Zbl 1129.42368
Lu, Shanzhen; Xu, Lifang
2
2006
Continuity for maximal multilinear Bochner-Riesz operators on Hardy and Herz-Hardy spaces. Zbl 1129.42366
Liu, Lanzhe; Lu, Shanzhen
1
2006
Strongly singular integral operators on weighted Hardy space. Zbl 1129.42382
Li, Junfeng; Lu, Shanzhen
1
2006
\(L^{p}\) estimates for multilinear operators of strongly singular integral operators. Zbl 1100.42011
Li, Junfeng; Lu, Shanzhen
1
2006
Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces. Zbl 1081.42012
Lu, Shanzhen; Xu, Lifang
23
2005
A class of oscillatory singular integrals. Zbl 1078.42006
Lu, Shanzhen
4
2005
Boundedness of some fractional integral operators on weighted Herz type Hardy spaces. Zbl 1074.42007
Lan, Jiacheng; Lu, Shanzhen
2
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
11
2004
CBMO estimates for commutators and multilinear singular integrals. Zbl 1081.42011
Lu, Shanzhen; Wu, Qiang
8
2004
Two-weight weak-type norm inequalities for the commutators of fractional integrals. Zbl 1072.42012
Liu, Zongguang; Lu, Shanzhen
5
2004
On the commutators of singular integrals related to block spaces. Zbl 1057.42015
Lu, Shanzhen; Wu, Hoxiong
4
2004
Applications of the scale changing method to boundedness of certain commutators. Zbl 1083.42013
Li, Junfeng; Lu, Shanzhen
3
2004
A class of multilinear oscillatory singular integrals related to block spaces. Zbl 1059.42012
Lu, Shanzhen; Wu, Huoxiong
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
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
9
2003
Multilinear singular integrals with rough kernel. Zbl 1023.42009
Lu, Shan Zhen; Wu, Huo Xiong; Zhang, Pu
8
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
7
2003
Oscillatory singular integrals and commutators with rough kernels. Zbl 1054.42012
Lu, Shanzhen; Wu, Huoxiong
7
2003
Weighted weak type inequalities for maximal commutators of Bochner-Riesz operator. Zbl 1034.42015
Liu, Lanzhe; Lu, Shanzhen
7
2003
Hardy spaces estimates for multilinear operators with homogeneous kernels. Zbl 1036.42015
Ding, Yong; Lu, Shanzhen
6
2003
Continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator. Zbl 1038.42014
Liu, Zongguang; Lu, Guozhen; Lu, Shanzhen
3
2003
Higher order Poincaré inequalities associated with linear operators on stratified groups and applications. Zbl 1023.46032
Cohn, William S.; Lu, Guozhen; Lu, Shanzhen
3
2003
Endpoint estimates for certain commutators of fractional and singular integrals. Zbl 1018.42010
Lu, Shanzhen; Wu, Qiang
3
2003
On commutators of Marcinkiewicz integrals with rough kernel. Zbl 1019.42009
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
33
2002
A problem on rough parametric Marcinkiewicz functions. Zbl 0993.42008
Ding, Yong; Lu, Shanzhen; Yabuta, Kôzô
31
2002
Marcinkiewicz integral on Hardy spaces. Zbl 0994.42013
Ding, Yong; Lu, Shanzhen; Xue, Qingying
20
2002
Boundedness of commutators on Hardy type spaces. Zbl 1098.42009
Lu, Shanzhen; Wu, Qiang; Yang, Dachun
18
2002
Singular integrals and commutators on homogeneous groups. Zbl 1026.43007
Lu, Guozhen; Lu, Shanzhen; Yang, Dachun
15
2002
\(L^ p\)-boundedness of multilinear oscillatory singular integrals with Calderón-Zygmund kernel. Zbl 1054.42013
Lu, Shanzhen; Yan, Dunyan
9
2002
Continuity of higher order commutators on certain Hardy spaces. Zbl 1024.42008
Ding, Yong; Lu, Shanzhen; Zhang, Pu
8
2002
Boundedness of homogeneous fractional integrals on \(L^p\) for \(N/\alpha{\leq}p{\leq}{\infty}\). Zbl 1031.42015
Ding, Yong; Lu, Shanzhen
7
2002
...and 83 more Documents
all top 5

Cited by 598 Authors

69 Lu, Shanzhen
48 Yang, Dachun
39 Ding, Yong
29 Fan, Dashan
27 Fu, Zunwei
27 Wu, Huoxiong
26 Guliyev, Vagif Sabir
23 Chen, Jiecheng
21 Xue, Qingying
20 Yan, Dunyan
18 Lin, Yan
17 Chen, Yanping
17 Liu, Lanzhe
16 Wang, Hua
15 Wang, Hongbin
15 Yu, Xiao
15 Zhang, Pu
14 Xu, Jingshi
14 Zhao, Fayou
13 Shi, Shaoguang
13 Yuan, Wen
12 Ho, Kwok-Pun
12 Nguyen Minh Chuong
12 Tao, Xiangxing
12 Yabuta, Kôzô
11 Liu, Feng
11 Tang, Lin
10 Jiang, Yinsheng
10 Liu, Zongguang
10 Sawano, Yoshihiro
10 Wu, Qingyan
9 Duong, Dao Van
9 Omarova, Mehriban N.
9 Pan, Yibiao
9 Tao, Shuangping
8 Al-Salman, Ahmad
8 Gao, Guilian
8 Gurbuz, Ferit
8 Shu, Lisheng
8 Wang, Liwei
8 Wang, Yueshan
8 Weisz, Ferenc
8 Zhou, Jiang
7 Akbulut, Ali
7 Hu, Yue
7 Hussain, Amjad
7 Iida, Takeshi
7 Izuki, Mitsuo
7 Lan, Jiacheng
7 Ma, Bolin
7 Pradolini, Gladis G.
7 Si, Zengyan
6 Chen, Dongxiang
6 Hu, Guoen
6 Liu, Liguang
6 Lu, Guanghui
6 Ragusa, Maria Alessandra
6 Wang, Songbai
5 Cheng, Leslie C.
5 Lee, Ming-Yi
5 Li, Baode
5 Li, Junfeng
5 Qu, Meng
5 Samko, Natasha
5 Wei, Mingquan
5 Zhang, Chunjie
5 Zhang, Yandan
5 Zhou, Xiaosha
4 Al-Qassem, Hussain Mohammad
4 Cao, Jun
4 Drihem, Douadi
4 Dung, Kieu Huu
4 He, Qianjun
4 He, Sha
4 Lan, Senhua
4 Lin, Chincheng
4 Liu, Honghai
4 Liu, Yu
4 Lu, Guozhen
4 Matsuoka, Katsuo
4 Mo, Huixia
4 Ruan, Jianmiao
4 Serbetci, Ayhan
4 Shi, Yanlong
4 Sun, Jie
4 Sun, Lijing
4 Wen, Yongming
4 Wu, Di
4 Wu, Xiaomei
4 Yang, Sibei
4 Zhang, Yangyang
4 Zhu, Xiangrong
3 Ahmadli, Aysel A.
3 Almeida, Alexandre
3 Cao, Yonghui
3 Chen, Lungkee
3 Dong, Jianfeng
3 Feuto, Justin
3 Grafakos, Loukas
3 Guliyev, Ramin V.
...and 498 more Authors
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Cited in 155 Serials

77 Acta Mathematica Sinica. English Series
57 Journal of Inequalities and Applications
48 Journal of Mathematical Analysis and Applications
44 Journal of Function Spaces
30 Analysis in Theory and Applications
28 Applied Mathematics. Series B (English Edition)
26 Frontiers of Mathematics in China
22 Science China. Mathematics
16 Mathematische Nachrichten
16 Science in China. Series A
16 Journal of Function Spaces and Applications
14 Abstract and Applied Analysis
14 Journal of Mathematical Inequalities
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 The Journal of Fourier Analysis and Applications
9 Integral Equations and Operator Theory
9 Proceedings of the American Mathematical Society
8 Forum Mathematicum
8 Potential Analysis
7 Journal of Functional Analysis
7 Tohoku Mathematical Journal. Second Series
7 Transactions of the American Mathematical Society
7 Integral Transforms and Special Functions
7 Mathematical Inequalities & Applications
7 Journal of Pseudo-Differential Operators and Applications
6 Analysis Mathematica
6 Czechoslovak Mathematical Journal
6 Bulletin of the Korean Mathematical Society
6 The Journal of Geometric Analysis
6 Journal of the Australian Mathematical Society
6 Mediterranean Journal of Mathematics
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Analysis and Mathematical Physics
6 Open Mathematics
5 Mathematical Notes
5 Rocky Mountain Journal of Mathematics
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Acta Mathematicae Applicatae Sinica. English Series
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Revista Matemática Complutense
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Banach Journal of Mathematical Analysis
5 Journal of Nonlinear Science and Applications
5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
4 Chinese Annals of Mathematics. Series B
4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
4 Georgian Mathematical Journal
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Advances in Operator Theory
3 Ukrainian Mathematical Journal
3 Collectanea Mathematica
3 International Journal of Mathematics and Mathematical Sciences
3 Mathematische Zeitschrift
3 Nagoya Mathematical Journal
3 Taiwanese Journal of Mathematics
3 Complex Variables and Elliptic Equations
3 Tbilisi Mathematical Journal
3 Kyoto Journal of Mathematics
3 Annals of Functional Analysis
2 Computers & Mathematics with Applications
2 Discrete Mathematics
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Advances in Mathematics
2 Journal of Approximation Theory
2 Journal of Computational and Applied Mathematics
2 Journal of the Korean Mathematical Society
2 Monatshefte für Mathematik
2 Tokyo Journal of Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Constructive Approximation
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
2 Acta Mathematica Sinica. New Series
2 Russian Mathematics
2 Lobachevskii Journal of Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Analysis and Applications (Singapore)
2 Complex Analysis and Operator Theory
2 Eurasian Mathematical Journal
2 Journal of Applied Analysis and Computation
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Studia Mathematica
1 Arkiv för Matematik
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Demonstratio Mathematica
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Differential Equations
1 Journal of the Mathematical Society of Japan
1 Kodai Mathematical Journal
1 Kyungpook Mathematical Journal
1 Mathematica Scandinavica
...and 55 more Serials

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