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Author ID: ding.shusen Recent zbMATH articles by "Ding, Shusen"
Published as: Ding, Shusen; Ding, S.; Ding, Shu Shen; Ding, Shushen

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 512 times in 188 Documents Cited by Year
Inequalities for differential forms. Zbl 1184.53001
Agarwal, Ravi P.; Ding, Shusen; Nolder, Craig
61
2009
Two-weight Caccioppoli inequalities for solutions of nonhomogeneous \(A\)-harmonic equations on Riemannian manifolds. Zbl 1127.35021
Ding, Shusen
43
2004
\(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric. Zbl 1063.30022
Ding, Shusen
31
2004
A class of analytic functions defined by fractional derivation. Zbl 0813.30016
Ling, Yi; Ding, Shusen
27
1994
Weighted Hardy-Littlewood inequality for \(A\)-harmonic tensors. Zbl 0866.30017
Ding, Shusen
24
1997
Weighted Poincaré inequalities for solutions to \(A\)-harmonic equations. Zbl 1071.35520
Ding, Shusen; Nolder, Craig A.
22
2002
A generic strategy for fault-tolerance in control systems distributed over a network. Zbl 1293.93255
Patton, R. J.; Kambhampati, C.; Casavola, A.; Zhang, P.; Ding, S.; Sauter, D.
21
2007
\(L^{s}(\mu)\)-averaging domains. Zbl 1027.30053
Ding, Shusen; Nolder, Craig A.
19
2003
Advances in differential forms and the \(A\)-harmonic equation. Zbl 1051.58001
Agarwal, R. P.; Ding, Shusen
19
2003
Some properties of a class of analytic functions. Zbl 0843.30022
Ding, Shusen; Ling, Yi; Bao, Gejun
19
1995
Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains. Zbl 0918.26013
Ding, Shusen; Shi, Peilin
18
1998
A singular integral of the composite operator. Zbl 1173.58300
Ding, Shusen; Liu, Bing
17
2009
Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for \(A\)-harmonic tensors. Zbl 0926.30013
Ding, Shusen
16
1999
Some strong \((p,q)\)-type inequalities for the homotopy operator. Zbl 1231.26014
Bi, Hui; Ding, Shusen
12
2011
Global estimates for singular integrals of the composite operator. Zbl 1205.35089
Ding, Shusen; Liu, Bing
11
2009
Some examples of conjugate \(P\)-harmonic differential forms. Zbl 0920.35037
Ding, Shusen
11
1998
Local and global norm comparison theorems for solutions to the nonhomogeneous A-harmonic equation. Zbl 1124.31004
Ding, Shusen
10
2007
Lipschitz and BMO norm inequalities for operators. Zbl 1239.42021
Ding, Shusen
10
2009
Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms. Zbl 1234.35009
Ding, Shusen; Zhu, Jianmin
9
2011
Dirac-harmonic equations for differential forms. Zbl 1325.58011
Ding, Shusen; Liu, Bing
9
2015
\(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms. Zbl 1202.46033
Ding, Shusen
8
2010
The monotonic property of \(L^s(\mu)\)-averaging domains and weighted weak reverse Hölder inequality. Zbl 0946.26005
Liu, Bing; Ding, Shusen
8
1999
Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications. Zbl 1190.35090
Xing, Yuming; Ding, Shusen
7
2010
Norm inequalities for composition of the Dirac and Green’s operators. Zbl 1404.47002
Ding, Shusen; Liu, Bing
7
2013
Integral estimates for the Laplace-Beltrami and Green’s operators applied to differential forms on manifolds. Zbl 1044.58002
Ding, S.
7
2003
Weighted imbedding theorems in the space of differential forms. Zbl 0993.58001
Ding, Shusen
7
2001
Inequalities for Green’s operator with Lipschitz and BMO norms. Zbl 1189.35008
Xing, Yuming; Ding, Shusen
6
2009
Integral estimates for the potential operator on differential forms. Zbl 1285.47056
Johnson, Casey; Ding, Shusen
6
2013
Norm estimates for the maximal operator and Green’s operator. Zbl 1182.47018
Ding, Shusen
5
2009
Norms of the composition of the maximal and projection operators. Zbl 1189.35036
Xing, Yuming; Ding, Shusen
5
2010
Higher integrability of iterated operators on differential forms. Zbl 1382.58001
Ding, Shusen; Shi, Guannan; Xing, Yuming
5
2016
Estimates of weighted integrals for differential forms. Zbl 0980.35039
Ding, Shusen
5
2001
Poincaré inequalities with the Radon measure for differential forms. Zbl 1189.35011
Xing, Yuming; Ding, Shusen
4
2010
Orlicz norm inequalities for the composite operator and applications. Zbl 1275.26023
Bi, Hui; Ding, Shusen
4
2011
New weighted integral inequalities for differential forms in some domains. Zbl 1036.26016
Ding, Shusen
4
2000
Norm comparison inequalities for the composite operator. Zbl 1165.26013
Xing, Yuming; Ding, Shusen
3
2009
Imbedding theorems in Orlicz-Sobolev space of differential forms. Zbl 1305.46027
Ding, Shusen; Xing, Yuming
3
2014
On radii of starlikeness and convexity for convolutions of starlike functions. Zbl 0889.30007
Ling, Yi; Ding, Shusen
3
1997
Generalized Poincaré inequalities for solutions to the \(A\)-harmonic equation in certain domains. Zbl 0971.31006
Ding, Shusen; Liu, Bing
3
2000
Parametric weighted integral inequalities for \(A\)-harmonic tensors. Zbl 0989.31007
Ding, S.
3
2001
Weak reverse Hölder inequalities and imbedding inequalities for solutions to the \(A\)-harmonic equation. Zbl 1012.31006
Ding, Shusen; Sylvester, Donna
3
2002
Singular integrals of the compositions of Laplace-Beltrami and Green’s operators. Zbl 1277.58003
Fang, Ru; Ding, Shusen
3
2011
Weighted norm inequalities for conjugate \(A\)-harmonic tensors. Zbl 0873.30012
Ding, Shusen; Ling, Yi
2
1996
Higher integrability of Green’s operator and homotopy operator. Zbl 1375.58002
Xing, Yuming; Ding, Shusen
2
2017
A new criterion for starlike functions. Zbl 0849.30007
Yi, Ling; Ding, Shusen
2
1996
Recent advances in \(L^p\)-theory of homotopy operator on differential forms. Zbl 1472.58001
Ding, Shusen; Shi, Peilin; Wang, Yong
2
2014
Whitney covers and quasi-isometry of \(L^s(\mu)\)-averaging domains. Zbl 1017.30031
Ding, Shusen; Liu, Bing
2
2001
Inequalities for Green’s operator applied to the minimizers. Zbl 1302.58001
Agarwal, Ravi P.; Ding, Shusen
2
2011
Inequalities for the composition of Green’s operator and the potential operator. Zbl 1281.35035
Dai, Zhimin; Xing, Yuming; Ding, Shusen; Wang, Yong
2
2012
Global integrability of the Jacobian of a composite mapping. Zbl 1103.42009
Ding, Shusen; Liu, Bing
1
2006
\(A_{r}(\Omega)\)-weighted inequalities for \(A\)-harmonic tensors and related operators. Zbl 1101.31007
Ding, Shusen; Xing, Yuming; Bao, Gejun
1
2006
Global Caccioppoli-type and Poincaré inequalities with Orlicz norms. Zbl 1196.35086
Agarwal, Ravi P.; Ding, Shusen
1
2010
Imbedding inequalities with \(L{\varphi}\)-norms for composite operators. Zbl 1293.35118
Xing, Yuming; Ding, Shusen
1
2013
Comparison theorems for conjugate A-harmonic tensors. Zbl 0881.31005
Ding, Shusen; Xie, Hongzheng
1
1997
Global estimates for the maximal operator and homotopy operator. Zbl 1236.26012
Xing, Yuming; Ding, Shusen
1
2012
BMO and Lipschitz norm estimates for the composition of Green’s operator and the potential operator. Zbl 1282.35165
Dai, Zhimin; Xing, Yuming; Ding, Shusen
1
2013
\(L(\varphi,\mu)\)-averaging domains and their geometric characterizations. Zbl 0983.30008
Bao, Gejun; Ding, Shusen; Ling, Yi
1
2000
Higher integrability of Green’s operator and homotopy operator. Zbl 1375.58002
Xing, Yuming; Ding, Shusen
2
2017
Higher integrability of iterated operators on differential forms. Zbl 1382.58001
Ding, Shusen; Shi, Guannan; Xing, Yuming
5
2016
Dirac-harmonic equations for differential forms. Zbl 1325.58011
Ding, Shusen; Liu, Bing
9
2015
Imbedding theorems in Orlicz-Sobolev space of differential forms. Zbl 1305.46027
Ding, Shusen; Xing, Yuming
3
2014
Recent advances in \(L^p\)-theory of homotopy operator on differential forms. Zbl 1472.58001
Ding, Shusen; Shi, Peilin; Wang, Yong
2
2014
Norm inequalities for composition of the Dirac and Green’s operators. Zbl 1404.47002
Ding, Shusen; Liu, Bing
7
2013
Integral estimates for the potential operator on differential forms. Zbl 1285.47056
Johnson, Casey; Ding, Shusen
6
2013
Imbedding inequalities with \(L{\varphi}\)-norms for composite operators. Zbl 1293.35118
Xing, Yuming; Ding, Shusen
1
2013
BMO and Lipschitz norm estimates for the composition of Green’s operator and the potential operator. Zbl 1282.35165
Dai, Zhimin; Xing, Yuming; Ding, Shusen
1
2013
Inequalities for the composition of Green’s operator and the potential operator. Zbl 1281.35035
Dai, Zhimin; Xing, Yuming; Ding, Shusen; Wang, Yong
2
2012
Global estimates for the maximal operator and homotopy operator. Zbl 1236.26012
Xing, Yuming; Ding, Shusen
1
2012
Some strong \((p,q)\)-type inequalities for the homotopy operator. Zbl 1231.26014
Bi, Hui; Ding, Shusen
12
2011
Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms. Zbl 1234.35009
Ding, Shusen; Zhu, Jianmin
9
2011
Orlicz norm inequalities for the composite operator and applications. Zbl 1275.26023
Bi, Hui; Ding, Shusen
4
2011
Singular integrals of the compositions of Laplace-Beltrami and Green’s operators. Zbl 1277.58003
Fang, Ru; Ding, Shusen
3
2011
Inequalities for Green’s operator applied to the minimizers. Zbl 1302.58001
Agarwal, Ravi P.; Ding, Shusen
2
2011
\(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms. Zbl 1202.46033
Ding, Shusen
8
2010
Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications. Zbl 1190.35090
Xing, Yuming; Ding, Shusen
7
2010
Norms of the composition of the maximal and projection operators. Zbl 1189.35036
Xing, Yuming; Ding, Shusen
5
2010
Poincaré inequalities with the Radon measure for differential forms. Zbl 1189.35011
Xing, Yuming; Ding, Shusen
4
2010
Global Caccioppoli-type and Poincaré inequalities with Orlicz norms. Zbl 1196.35086
Agarwal, Ravi P.; Ding, Shusen
1
2010
Inequalities for differential forms. Zbl 1184.53001
Agarwal, Ravi P.; Ding, Shusen; Nolder, Craig
61
2009
A singular integral of the composite operator. Zbl 1173.58300
Ding, Shusen; Liu, Bing
17
2009
Global estimates for singular integrals of the composite operator. Zbl 1205.35089
Ding, Shusen; Liu, Bing
11
2009
Lipschitz and BMO norm inequalities for operators. Zbl 1239.42021
Ding, Shusen
10
2009
Inequalities for Green’s operator with Lipschitz and BMO norms. Zbl 1189.35008
Xing, Yuming; Ding, Shusen
6
2009
Norm estimates for the maximal operator and Green’s operator. Zbl 1182.47018
Ding, Shusen
5
2009
Norm comparison inequalities for the composite operator. Zbl 1165.26013
Xing, Yuming; Ding, Shusen
3
2009
A generic strategy for fault-tolerance in control systems distributed over a network. Zbl 1293.93255
Patton, R. J.; Kambhampati, C.; Casavola, A.; Zhang, P.; Ding, S.; Sauter, D.
21
2007
Local and global norm comparison theorems for solutions to the nonhomogeneous A-harmonic equation. Zbl 1124.31004
Ding, Shusen
10
2007
Global integrability of the Jacobian of a composite mapping. Zbl 1103.42009
Ding, Shusen; Liu, Bing
1
2006
\(A_{r}(\Omega)\)-weighted inequalities for \(A\)-harmonic tensors and related operators. Zbl 1101.31007
Ding, Shusen; Xing, Yuming; Bao, Gejun
1
2006
Two-weight Caccioppoli inequalities for solutions of nonhomogeneous \(A\)-harmonic equations on Riemannian manifolds. Zbl 1127.35021
Ding, Shusen
43
2004
\(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric. Zbl 1063.30022
Ding, Shusen
31
2004
\(L^{s}(\mu)\)-averaging domains. Zbl 1027.30053
Ding, Shusen; Nolder, Craig A.
19
2003
Advances in differential forms and the \(A\)-harmonic equation. Zbl 1051.58001
Agarwal, R. P.; Ding, Shusen
19
2003
Integral estimates for the Laplace-Beltrami and Green’s operators applied to differential forms on manifolds. Zbl 1044.58002
Ding, S.
7
2003
Weighted Poincaré inequalities for solutions to \(A\)-harmonic equations. Zbl 1071.35520
Ding, Shusen; Nolder, Craig A.
22
2002
Weak reverse Hölder inequalities and imbedding inequalities for solutions to the \(A\)-harmonic equation. Zbl 1012.31006
Ding, Shusen; Sylvester, Donna
3
2002
Weighted imbedding theorems in the space of differential forms. Zbl 0993.58001
Ding, Shusen
7
2001
Estimates of weighted integrals for differential forms. Zbl 0980.35039
Ding, Shusen
5
2001
Parametric weighted integral inequalities for \(A\)-harmonic tensors. Zbl 0989.31007
Ding, S.
3
2001
Whitney covers and quasi-isometry of \(L^s(\mu)\)-averaging domains. Zbl 1017.30031
Ding, Shusen; Liu, Bing
2
2001
New weighted integral inequalities for differential forms in some domains. Zbl 1036.26016
Ding, Shusen
4
2000
Generalized Poincaré inequalities for solutions to the \(A\)-harmonic equation in certain domains. Zbl 0971.31006
Ding, Shusen; Liu, Bing
3
2000
\(L(\varphi,\mu)\)-averaging domains and their geometric characterizations. Zbl 0983.30008
Bao, Gejun; Ding, Shusen; Ling, Yi
1
2000
Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for \(A\)-harmonic tensors. Zbl 0926.30013
Ding, Shusen
16
1999
The monotonic property of \(L^s(\mu)\)-averaging domains and weighted weak reverse Hölder inequality. Zbl 0946.26005
Liu, Bing; Ding, Shusen
8
1999
Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains. Zbl 0918.26013
Ding, Shusen; Shi, Peilin
18
1998
Some examples of conjugate \(P\)-harmonic differential forms. Zbl 0920.35037
Ding, Shusen
11
1998
Weighted Hardy-Littlewood inequality for \(A\)-harmonic tensors. Zbl 0866.30017
Ding, Shusen
24
1997
On radii of starlikeness and convexity for convolutions of starlike functions. Zbl 0889.30007
Ling, Yi; Ding, Shusen
3
1997
Comparison theorems for conjugate A-harmonic tensors. Zbl 0881.31005
Ding, Shusen; Xie, Hongzheng
1
1997
Weighted norm inequalities for conjugate \(A\)-harmonic tensors. Zbl 0873.30012
Ding, Shusen; Ling, Yi
2
1996
A new criterion for starlike functions. Zbl 0849.30007
Yi, Ling; Ding, Shusen
2
1996
Some properties of a class of analytic functions. Zbl 0843.30022
Ding, Shusen; Ling, Yi; Bao, Gejun
19
1995
A class of analytic functions defined by fractional derivation. Zbl 0813.30016
Ling, Yi; Ding, Shusen
27
1994
all top 5

Cited by 170 Authors

57 Ding, Shusen
42 Xing, Yuming
12 Bao, Gejun
9 Liu, Bing
9 Shi, Guannan
9 Wang, Yong
6 Li, Xuexin
6 Niu, Jinling
4 Agarwal, Ravi P.
4 Bi, Hui
4 Dai, Zhimin
4 Gu, Jiantao
4 Lu, Yueming
4 Sadarangani, Kishin B.
4 Tong, Yuxia
4 Wen, Haiyu
4 Zhu, Jianmin
3 Aloboudi, Fatima M.
3 Cao, Zhenhua
3 Darus, Maslina
3 El-Ashwah, Rabha Mohamed
3 Gao, Hongya
3 Harjani, Jackie
3 Li, Huacan
3 Li, Qunfang
3 Ling, Yi
3 Mishra, Akshaya Kumar
3 Nagpal, Sumit
3 Ravichandran, Vaithiyanathan
3 Shi, Peilin
3 Wang, Jianwei
2 Al-Amoudi, K. A.
2 Aouf, Mohamed Kamal
2 Badghaish, Abeer O.
2 Bai, Chuanzhi
2 Bajamal, Amani Z.
2 Bulut, Serap
2 Caballero, Josefa
2 Cabrera, Ignacio José
2 Cao, Junfei
2 Chaieb, Majda
2 Dhifli, Abdelwaheb
2 Fang, Ru
2 Frasin, Basem Aref
2 Fu, Yongqiang
2 Guo, Lifeng
2 Helliwell, Dylan William
2 Ibrahim, Rabha Waell
2 Kopylov, Yaroslav Anatol’evich
2 Lashin, A. Y.
2 Lashin, Abdel Moneim Yousof
2 Li, Guanfeng
2 Li, Ronglu
2 Mâagli, Habib
2 Magesh, Nanjundan
2 Noor, Khalida Inayat
2 Pandya, Gavin
2 Sylvester, Donna
2 Tang, Zhaoyang
2 Wang, Jufang
2 Wu, Congxin
2 Yu, Changlong
2 Zhang, Shuqin
2 Zheng, Shenzhou
2 Zhu, Haijing
1 Abd-Eltawab, Ahmed M.
1 Abreu-Blaya, Ricardo
1 Ahmad, Ahmad F.
1 Al-Refai, Oqlah
1 Alzahrani, Abdulah Khamis
1 Arif, Mohammad
1 Balaji, Vittalrao Kupparao
1 Balci, Anna Kh.
1 Barik, Sarbeswar
1 Bonilla, Blanca
1 Bory Reyes, Juan
1 Chaipunya, Parin
1 Chu, Yuming
1 Darwish, Hanan Elsayed
1 Delanghe, Richard
1 Deniz, Erhan
1 Devi, Satwanti
1 Dixit, Kaushal Kishore
1 Dwivedi, Gaurav
1 Faisal, Imran
1 Fang, Jinxuan
1 Gejun, Bao
1 Georgieva, Atanaska
1 Gochhayat, Priyabrat
1 Gol’dshtein, Vladimir Mikhailovich
1 Guo, Yanping
1 Gupta, Prachi
1 Guzmán, Johnny
1 Hajiparvaneh, Saideh
1 Hamidi, Samaneh Gholizadeh
1 Hao, Cuixia
1 Haq, Wasim Ul
1 Hayek, Nácere
1 Hiptmair, Ralf
1 Hou, Lanru
...and 70 more Authors
all top 5

Cited in 59 Serials

44 Journal of Inequalities and Applications
25 Journal of Mathematical Analysis and Applications
11 Computers & Mathematics with Applications
10 Abstract and Applied Analysis
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Journal of Function Spaces
4 International Journal of Mathematics and Mathematical Sciences
4 Applied Mathematics Letters
4 Mediterranean Journal of Mathematics
3 Advances in Applied Clifford Algebras
2 Applied Mathematics and Computation
2 Zeitschrift für Analysis und ihre Anwendungen
2 Journal of the Egyptian Mathematical Society
2 Journal of Applied Mathematics
2 Complex Analysis and Operator Theory
2 Journal of Mathematical Inequalities
2 Acta Universitatis Sapientiae. Mathematica
2 Annals of Functional Analysis
2 International Journal of Analysis
2 Concrete Operators
1 Applicable Analysis
1 International Journal of Theoretical Physics
1 Ukrainian Mathematical Journal
1 Gaṇita
1 Illinois Journal of Mathematics
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 Results in Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Mathematical and Computer Modelling
1 The Journal of Geometric Analysis
1 Potential Analysis
1 Applied Mathematics. Series B (English Edition)
1 Calculus of Variations and Partial Differential Equations
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Discrete and Continuous Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Kragujevac Journal of Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Journal of Function Spaces and Applications
1 Advances in Difference Equations
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Tbilisi Mathematical Journal
1 International Journal of Differential Equations
1 ISRN Mathematical Analysis
1 Afrika Matematika
1 Palestine Journal of Mathematics
1 Mathematical Sciences
1 Journal of Classical Analysis
1 Fractional Differential Calculus
1 Problemy Analiza. Issues of Analysis
1 Journal of Applied Mathematics, Statistics and Informatics
1 Moroccan Journal of Pure and Applied Analysis

Citations by Year