zbMATH — the first resource for mathematics

Fan, Dashan

Compute Distance To:
 Author ID: fan.dashan Published as: Fan, Dashan; Fan, Da Shan; Fan, DaShan; Fan, D. Homepage: http://people.uwm.edu/fan/
 Documents Indexed: 184 Publications since 1985 Reviewing Activity: 230 Reviews
all top 5

Co-Authors

 19 single-authored 51 Chen, Jiecheng 22 Pan, Yibiao 15 Ding, Yong 11 Zhao, Fayou 9 Guo, Weichao 9 Wu, Huoxiong 9 Yang, Dachun 9 Zhao, Guoping 8 Ruan, Jianmiao 8 Wang, Meng 7 Sato, Shûichi 6 Guo, Kanghui 6 Lu, Shanzhen 6 Zhang, Chunjie 6 Zhu, Xiangrong 5 Chen, Daning 5 Chen, Lungkee 5 Ying, Yiming 4 Sun, Lijing 4 Xie, Jiahai 4 Xu, Zengfu 4 Zhao, Junyan 3 Al-Hasan, Abdelnaser J. 3 Blank, Brian E. 3 Chen, Xianghong 3 Wu, Qingyan 3 Wu, Zhijian 3 Zheng, Quan 2 Huang, Qiang 2 Le, Hung Viet 2 Li, Hongliang 2 Lou, Zengjian 2 Wang, Zijian 2 Yao, Xiaohua 1 Bartl, Michael 1 Cao, Wei 1 Cao, Zhenbin 1 Chen, Chang-Pao 1 Chen, Jingchun 1 Chen, Yanping 1 Chen, Yun-Shiow 1 Čučković, Željko 1 Dai, Jiawei 1 Deng, Qingquan 1 Krantz, Steven George 1 Li, Liangpan 1 Li, Xiaochun 1 Lin, Xiaoying 1 Ma, Daowei 1 Ma, Li 1 Pang, Myungyull 1 Sun, Qinxiu 1 Wang, Lifeng 1 Wang, Silei 1 Wu, Xiaomei 1 Xiao, Weiliang 1 Xu, Han 1 Zhang, Juan 1 Zhang, Yandan 1 Zheng, Taotao 1 Zhou, Xuhuan
all top 5

Serials

 10 Journal of Mathematical Analysis and Applications 8 Chinese Annals of Mathematics. Series A 8 Acta Mathematica Sinica. English Series 7 Proceedings of the American Mathematical Society 6 Studia Mathematica 6 Mathematical Inequalities & Applications 5 Hokkaido Mathematical Journal 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Chinese Annals of Mathematics. Series B 5 Frontiers of Mathematics in China 4 Acta Mathematica Sinica 4 Canadian Mathematical Bulletin 4 Integral Equations and Operator Theory 4 Mathematische Nachrichten 4 Science in China. Series A 4 Applied Mathematics. Series B (English Edition) 4 Journal of the Australian Mathematical Society 4 Science China. Mathematics 3 Illinois Journal of Mathematics 3 Mathematische Zeitschrift 3 Michigan Mathematical Journal 3 Journal of Mathematical Research & Exposition 3 Journal of the Australian Mathematical Society. Series A 3 Banach Journal of Mathematical Analysis 2 American Journal of Mathematics 2 Hiroshima Mathematical Journal 2 Journal of Functional Analysis 2 Pacific Journal of Mathematics 2 Tohoku Mathematical Journal. Second Series 2 Advances in Mathematics 2 Approximation Theory and its Applications 2 Constructive Approximation 2 Publicacions Matemàtiques 2 Kexue Tongbao 2 Acta Mathematica Sinica. New Series 2 The Journal of Fourier Analysis and Applications 2 Abstract and Applied Analysis 2 Annals of Functional Analysis 1 Analysis Mathematica 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Publicationes Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Yokohama Mathematical Journal 1 Journal of Mathematics. Wuhan University 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana 1 Journal of Xinjiang University. Natural Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Mathématiques Blaise Pascal 1 Georgian Mathematical Journal 1 Discrete and Continuous Dynamical Systems 1 Positivity 1 Fractional Calculus & Applied Analysis 1 Analysis (München) 1 International Journal of Applied Mathematics 1 Journal of Function Spaces and Applications 1 Advances in Operator Theory 1 Korean Journal of Mathematics
all top 5

Fields

 156 Harmonic analysis on Euclidean spaces (42-XX) 35 Functional analysis (46-XX) 34 Abstract harmonic analysis (43-XX) 32 Operator theory (47-XX) 15 Partial differential equations (35-XX) 11 Topological groups, Lie groups (22-XX) 11 Approximations and expansions (41-XX) 3 Sequences, series, summability (40-XX) 2 Real functions (26-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX)

Citations contained in zbMATH Open

130 Publications have been cited 1,081 times in 522 Documents Cited by Year
Singular integral operators with rough kernels supported by subvarieties. Zbl 0899.42002
Fan, Dashan; Pan, Yibiao
1997
$$L^p$$-boundedness of Marcinkiewicz integrals with Hardy space function kernels. Zbl 0966.42008
Ding, Yong; Fan, Dashan; Pan, Yibiao
2000
Weighted boundedness for a class of rough Marcinkiewicz integrals. Zbl 0949.42014
Ding, Yong; Fan, Dashan; Pan, Yibiao
1999
Hausdorff operators on function spaces. Zbl 1261.42036
Chen, Jiecheng; Fan, Dashan; Li, Jun
2012
Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients. Zbl 0917.35017
Fan, Dashan; Lu, Shanzhen; Yang, Dachun
1998
Singular integral operators on function spaces. Zbl 1018.42009
Chen, Jiecheng; Fan, Dashan; Ying, Yiming
2002
On the $$L^ p$$ boundedness of Marcinkiewicz integrals. Zbl 1035.42009
Ding, Yong; Fan, Dashan; Pan, Yibiao
2002
A note on a Marcinkiewicz integral operator. Zbl 0994.42012
Chen, Jiecheng; Fan, Dashan; Pan, Yibiao
2001
Asymptotic estimates for unimodular Fourier multipliers on modulation spaces. Zbl 1241.42010
Chen, Jiecheng; Fan, Dashan; Sun, Lijing
2012
Certain operators with rough singular kernels. Zbl 1042.42008
Chen, Jiecheng; Fan, Dashan; Ying, Yiming
2003
A singular integral operator with rough kernel. Zbl 0887.42009
Fan, Dashan; Pan, Yibiao
1997
Hausdorff operators on Euclidean spaces. Zbl 1299.42078
Chen, Jiecheng; Fan, Dashan; Wang, Silei
2013
Boundedness of operators in Morrey spaces on homogeneous spaces and its applications. Zbl 0916.43006
Fan, Dashan; Lu, Shanzhen; Yang, Dachun
1998
Hausdorff operators on the power weighted Hardy spaces. Zbl 1331.42018
Ruan, Jianmiao; Fan, Dashan
2016
A note of a rough singular integral operator. Zbl 0929.42007
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
1999
On singular intergrals along surfaces related to block spaces. Zbl 0886.42009
Chen, Lung-Kee; Fan, Dashan
1997
Weaker type $$(1,1)$$ estimates for Marcinkiewicz integrals with rough kernels. Zbl 1021.42005
Fan, Dashan; Sato, Shuichi
2001
Multilinear Hausdorff operators and their best constants. Zbl 1261.42035
Chen, Jie Cheng; Fan, Da Shan; Zhang, Chun Jie
2012
A weighted norm inequality for rough singular integrals. Zbl 0935.42008
Fan, Dashan; Pan, Yibiao; Yang, Dachun
1999
$$L^2$$-boundedness of a singular integral operator. Zbl 0904.42012
Fan, Dashan; Pan, Yibiao
1997
Hausdorff operator on real Hardy spaces. Zbl 1320.47036
Fan, Dashan; Lin, Xiaoying
2014
A note on singular integrals associated with a variable surface of revolution. Zbl 1161.42006
Fan, Dashan; Sato, Shuichi
2009
$$L^p$$ estimates for singular integrals associated to homogeneous surfaces. Zbl 0983.42007
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
2002
Weighted Herz space estimates for Hausdorff operators on the Heisenberg group. Zbl 1370.42020
Ruan, Jianmiao; Fan, Dashan; Wu, Qingyan
2017
$$L^p$$ bounds for oscillatory hyper-Hilbert transform along curves. Zbl 1268.42033
Chen, Jiecheng; Fan, Dashan; Wang, Meng; Zhu, Xiangrong
2008
On Littlewood-Paley functions and singular integrals. Zbl 0973.42009
Ding, Yong; Fan, Dashan; Pan, Yibiao
2000
Transference on certain multilinear multiplier operators. Zbl 0984.42006
Fan, Dashan; Sato, Shuichi
2001
Rough Marcinkiewicz integrals with $$L(\log^+L)^2$$ kernels on product spaces. Zbl 0994.42011
Chen, Jiecheng; Fan, Dashan; Ying, Yiming
2001
Estimates on fractional power dissipative equations in function spaces. Zbl 1242.42013
Chen, Jiecheng; Deng, Qingquan; Ding, Yong; Fan, Dashan
2012
Convex hypersurfaces and $$L^p$$ estimates for Schrödinger equations. Zbl 1161.35474
Zheng, Quan; Yao, Xiaohua; Fan, Dashan
2004
Sharpness of complex interpolation on $$\alpha$$-modulation spaces. Zbl 1352.46022
Guo, Weichao; Fan, Dashan; Wu, Huoxiong; Zhao, Guoping
2016
Hardy space estimates for the wave equation on compact Lie groups. Zbl 1205.43005
Chen, Jiecheng; Fan, Dashan; Sun, Lijing
2010
Boundedness of Hausdorff operators on some product Hardy type spaces. Zbl 1265.42075
Chen, Jiecheng; Fan, Dashan; Zhang, Chunjie
2012
Estimates for wave and Klein-Gordon equations on modulation spaces. Zbl 1258.42022
Chen, JieCheng; Fan, DaShan
2012
Approximation properties of combination of multivariate averages on Hardy spaces. Zbl 1377.41004
Fan, Dashan; Zhao, Fayou
2017
The Kobayashi metric of a complex ellipsoid in $$\mathbb{C}^ 2$$. Zbl 0783.32012
Blank, Brian E.; Fan, Dashan; Klein, David; Krantz, Steven G.; Ma, Daowei; Pang, Myung-Yull
1992
A singular integral operator related to block spaces. Zbl 0935.42009
Al-Hasan, AbdelNaser J.; Fan, Dashan
1999
Remarks on Littlewood-Paley functions and singular integrals. Zbl 1029.42010
Fan, Dashan; Sato, Shuichi
2002
The fractional Hausdorff operators on the Hardy spaces $$H^p(\mathbb{R}^n)$$. Zbl 1374.42047
Chen, J.; Fan, D.; Lin, X.; Ruan, J.
2016
Singular integrals with rough kernels on product spaces. Zbl 0945.42007
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
1999
Hardy spaces on compact Lie groups. Zbl 0899.43004
Blank, Brian E.; Fan, Dashan
1997
Certain square functions on product spaces. Zbl 0991.42006
Chen, Jiecheng; Ding, Yong; Fan, Dashan
2001
Critical exponent for evolution equations in modulation spaces. Zbl 1339.35033
Huang, Qiang; Fan, Dashan; Chen, Jiecheng
2016
Sharp estimates of unimodular multipliers on frequency decomposition spaces. Zbl 1341.42025
Zhao, Guoping; Chen, Jiecheng; Fan, Dashan; Guo, Weichao
2016
Sharp $$L^{2}$$ boundedness of the oscillatory hyper-Hilbert transform along curves. Zbl 1193.42081
Chen, Jie Cheng; Fan, Da Shan; Zhu, Xiang Rong
2010
Restriction theorems related to atoms. Zbl 0883.42011
Fan, Dashan
1996
Weighted weak type $$(1,1)$$ estimates for singular integrals and Littlewood–Paley functions. Zbl 1049.42006
Fan, Dashan; Sato, Shuichi
2004
On the generalized Marcinkiewicz integral operators with rough kernels. Zbl 1217.42030
Fan, Dashan; Wu, Huoxiong
2011
Central oscillating multipliers on compact Lie groups. Zbl 1213.43003
Chen, Jiecheng; Fan, Dashan
2011
A parabolic singular integral operator with rough kernel. Zbl 1213.42037
Chen, Yanping; Ding, Yong; Fan, Dashan
2008
Sharpness of some properties of weighted modulation spaces. Zbl 1344.42018
Guo, WeiChao; Fan, DaShan; Wu, HuoXiong; Zhao, GuoPing
2016
Sharp weighted convolution inequalities and some applications. Zbl 1414.42009
Guo, Weichao; Fan, Dashan; Wu, Huoxiong; Zhao, Guoping
2018
Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means. Zbl 1373.42012
Fan, Dashan; Zhao, Fayou
2017
Rough singular integral operators on Hardy-Sobolev spaces. Zbl 1063.42007
Chen, Daning; Chen, Jiecheng; Fan, Dashan
2005
Boundedness of certain oscillatory singular integrals. Zbl 0886.42008
Fan, Dashan; Pan, Yibiao
1995
Rough bilinear fractional integrals with variable kernels. Zbl 1204.42027
Chen, Jiecheng; Fan, Dashan
2010
Littlewood-Paley operators with variable kernels. Zbl 1124.42012
Chen, Jiecheng; Ding, Yong; Fan, Dashan
2006
Hardy space estimates of Hausdorff operators on the Heisenberg group. Zbl 06798951
Wu, Qingyan; Fan, Dashan
2017
Hausdorff operators on the weighted Herz-type Hardy spaces. Zbl 1338.42020
Ruan, Jianmiao; Fan, Dashan
2016
Fractional integral operators on $$\alpha$$-modulation spaces. Zbl 1345.42022
Zhao, Guoping; Fan, Dashan; Guo, Weichao
2016
Singular integrals along submanifolds of finite type. Zbl 0967.42009
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
1998
The method of rotation and Marcinkiewicz integrals on product domains. Zbl 1021.42004
Chen, Jiecheng; Fan, Dashan; Ying, Yiming
2002
Boundedness of Hausdorff operators on Lebesgue spaces and Hardy spaces. Zbl 1401.42005
Chen, Jiecheng; Dai, Jiawei; Fan, Dashan; Zhu, Xiangrong
2018
Full characterization of the embedding relations between $$\alpha$$-modulation spaces. Zbl 1402.42032
Guo, Weichao; Fan, Dashan; Zhao, Guoping
2018
Multilinear fractional Hausdorff operators. Zbl 1322.42019
Fan, Da Shan; Zhao, Fa You
2014
Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group. Zbl 1439.42033
Ruan, Jianmiao; Fan, Dashan; Wu, Qingyan
2019
Characterizations of some properties on weighted modulation and Wiener amalgam spaces. Zbl 1427.42028
Guo, Weichao; Chen, Jiecheng; Fan, Dashan; Zhao, Guoping
2019
Weighted estimates for rough singular integrals with applications to angular integrability. Zbl 1434.42021
Liu, Feng; Fan, Dashan
2019
Multipliers on certain function spaces. Zbl 0831.42008
Fan, Dashan
1994
Some maximal operators related to families of singular integral operators. Zbl 1066.42014
Xu, Han; Fan, Da Shan; Wang, Meng
2004
Some bilinear estimates. Zbl 1189.42004
Chen, Jiecheng; Fan, Dashan
2009
Boundedness of an oscillating multiplier on Triebel-Lizorkin spaces. Zbl 1210.42033
Cao, Wei; Chen, Jie Cheng; Fan, Da Shan
2010
Herz-type Hardy spaces on Vilenkin groups and their applications. Zbl 0957.43002
Fan, Dashan; Yang, Dachun
2000
Unimodular Fourier multipliers on homogeneous Besov spaces. Zbl 1311.42030
Zhao, Guoping; Chen, Jiecheng; Fan, Dashan; Guo, Weichao
2015
A class of integral operators with variable kernels on Hardy spaces. Zbl 1015.42012
Ding, Yong; Chen, Jiecheng; Fan, Dashan
2002
A rough hypersingular integral operator with an oscillating factor. Zbl 1101.42007
Chen, Daning; Fan, Dashan; Le, Hung Viet
2006
A note on iterated spherical average on Lebesgue spaces. Zbl 1458.41006
Fan, Dashan; Lou, Zengjian; Wang, Zijian
2019
Transference of maximal multipliers on Hardy spaces. Zbl 0857.42006
Fan, Dashan; Wu, Zhijian
1995
On a hyper Hilbert transform. Zbl 1038.42012
Chen, Jiecheng; Ding, Yong; Fan, Dashan
2003
Singular integrals and fractional integrals in Triebel-Lizorkin spaces and in weighted $$L^p$$ spaces. Zbl 1214.42018
Fan, Dashan; Le, Hung Viet
2008
Certain oscillatory integrals on unit square and their applications. Zbl 1176.42005
Fan, DaShan; Wu, HuoXiong
2008
Marcinkiewicz integrals with rough kernels on product spaces. Zbl 0997.42006
Ding, Yong; Fan, Dashan; Pan, Yibiao
2001
Certain maximal oscillatory singular integrals. Zbl 0922.42009
Fan, Dashan; Yang, Dachun
1998
Singular integrals with rough kernels along real-analytic submanifolds in $$\mathbb{R}^n$$. Zbl 0931.42009
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
1999
Multiplier transformations on $$H^p$$ spaces. Zbl 1050.42010
Chen, Daning; Fan, Dashan
1998
On the Fourier transform of measures carried by submanifolds of finite type. Zbl 0897.42006
Fan, Dashan; Pan, Yibiao
1997
Calderón-Zygmund operators on compact Lie groups. Zbl 0841.43019
Fan, Dashan
1994
The Hausdorff operator on the Hardy space $$H^1(\mathbb{R}^1)$$. Zbl 1389.42050
Chen, J.; Fan, D.; Zhu, X.
2016
Hausdorff operators on modulation and Wiener amalgam spaces. Zbl 1400.42034
Zhao, Guoping; Fan, Dashan; Guo, Weichao
2018
Operators with rough singular kernels. Zbl 1213.43016
Chen, Daning; Ding, Yong; Fan, Dashan
2008
Singular and fractional integrals along variable surfaces. Zbl 1129.42354
Fan, Dashan; Sato, Shuichi
2006
A bilinear fractional integral on compact Lie groups. Zbl 1246.43004
Chen, Jiecheng; Fan, Dashan
2011
Space-time estimates on damped fractional wave equation. Zbl 07022376
Chen, Jiecheng; Fan, Dashan; Zhang, Chunjie
2014
A note on the Marcinkiewicz integral operator with rough kernel on product spaces. Zbl 1043.42011
Ying, Yiming; Chen, Jiecheng; Fan, Dashan
2003
A bilinear oscillatory integral along parabolas. Zbl 1165.42303
Fan, Dashan; Li, Xiaochun
2009
Hausdorff type operators on the power weighted Hardy spaces $$\mathbb H^p_{|\cdot|^\alpha}(\mathbb{R}^n)$$. Zbl 1388.42063
Ruan, Jianmiao; Fan, Dashan
2017
Maximal singular integral operators along surfaces. Zbl 0993.42006
Fan, Dashan; Zheng, Quan
2002
$$L^p$$-boundedness of Marcinkiewicz integrals with Hardy space function kernels. Zbl 1009.42009
Ding, Yong; Fan, Dashan; Pan, Yibiao
2001
Singular integrals with rough kernels along real-analytic submanifolds in $${\mathbf{R}}^3$$. Zbl 1020.42007
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
2003
The convergence of the Bochner-Riesz means at the critical index. Zbl 0867.42008
Chen, Lung-Kee; Fan, Dashan
1996
Certain averaging operators on Lebesgue spaces. Zbl 1431.42024
Zhao, Junyan; Fan, Dashan
2020
Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group. Zbl 1439.42033
Ruan, Jianmiao; Fan, Dashan; Wu, Qingyan
2019
Characterizations of some properties on weighted modulation and Wiener amalgam spaces. Zbl 1427.42028
Guo, Weichao; Chen, Jiecheng; Fan, Dashan; Zhao, Guoping
2019
Weighted estimates for rough singular integrals with applications to angular integrability. Zbl 1434.42021
Liu, Feng; Fan, Dashan
2019
A note on iterated spherical average on Lebesgue spaces. Zbl 1458.41006
Fan, Dashan; Lou, Zengjian; Wang, Zijian
2019
The rate of almost-everywhere convergence of Bochner-Riesz means on Sobolev spaces. Zbl 1414.42013
Zhao, Junyan; Fan, Dashan
2019
Sharp constants for multivariate Hausdorff $$q$$-inequalities. Zbl 1411.26018
Fan, Dashan; Zhao, Fayou
2019
On the rate of almost everywhere convergence of combinations and multivariate averages. Zbl 1428.41039
Chen, Jiecheng; Fan, Dashan; Zhao, Fayou
2019
Sharp weighted convolution inequalities and some applications. Zbl 1414.42009
Guo, Weichao; Fan, Dashan; Wu, Huoxiong; Zhao, Guoping
2018
Boundedness of Hausdorff operators on Lebesgue spaces and Hardy spaces. Zbl 1401.42005
Chen, Jiecheng; Dai, Jiawei; Fan, Dashan; Zhu, Xiangrong
2018
Full characterization of the embedding relations between $$\alpha$$-modulation spaces. Zbl 1402.42032
Guo, Weichao; Fan, Dashan; Zhao, Guoping
2018
Hausdorff operators on modulation and Wiener amalgam spaces. Zbl 1400.42034
Zhao, Guoping; Fan, Dashan; Guo, Weichao
2018
On almost everywhere divergence of Bochner-Riesz means on compact Lie groups. Zbl 1395.43004
Chen, Xianghong; Fan, Dashan
2018
Restriction of the Fourier transform to some oscillating curves. Zbl 1412.42031
Chen, Xianghong; Fan, Dashan; Wang, Lifeng
2018
The rate of convergence on Schrödinger operator. Zbl 1416.42018
Cao, Zhenbin; Fan, Dashan; Wang, Meng
2018
Weighted Herz space estimates for Hausdorff operators on the Heisenberg group. Zbl 1370.42020
Ruan, Jianmiao; Fan, Dashan; Wu, Qingyan
2017
Approximation properties of combination of multivariate averages on Hardy spaces. Zbl 1377.41004
Fan, Dashan; Zhao, Fayou
2017
Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means. Zbl 1373.42012
Fan, Dashan; Zhao, Fayou
2017
Hardy space estimates of Hausdorff operators on the Heisenberg group. Zbl 06798951
Wu, Qingyan; Fan, Dashan
2017
Hausdorff type operators on the power weighted Hardy spaces $$\mathbb H^p_{|\cdot|^\alpha}(\mathbb{R}^n)$$. Zbl 1388.42063
Ruan, Jianmiao; Fan, Dashan
2017
Hausdorff operators on the power weighted Hardy spaces. Zbl 1331.42018
Ruan, Jianmiao; Fan, Dashan
2016
Sharpness of complex interpolation on $$\alpha$$-modulation spaces. Zbl 1352.46022
Guo, Weichao; Fan, Dashan; Wu, Huoxiong; Zhao, Guoping
2016
The fractional Hausdorff operators on the Hardy spaces $$H^p(\mathbb{R}^n)$$. Zbl 1374.42047
Chen, J.; Fan, D.; Lin, X.; Ruan, J.
2016
Critical exponent for evolution equations in modulation spaces. Zbl 1339.35033
Huang, Qiang; Fan, Dashan; Chen, Jiecheng
2016
Sharp estimates of unimodular multipliers on frequency decomposition spaces. Zbl 1341.42025
Zhao, Guoping; Chen, Jiecheng; Fan, Dashan; Guo, Weichao
2016
Sharpness of some properties of weighted modulation spaces. Zbl 1344.42018
Guo, WeiChao; Fan, DaShan; Wu, HuoXiong; Zhao, GuoPing
2016
Hausdorff operators on the weighted Herz-type Hardy spaces. Zbl 1338.42020
Ruan, Jianmiao; Fan, Dashan
2016
Fractional integral operators on $$\alpha$$-modulation spaces. Zbl 1345.42022
Zhao, Guoping; Fan, Dashan; Guo, Weichao
2016
The Hausdorff operator on the Hardy space $$H^1(\mathbb{R}^1)$$. Zbl 1389.42050
Chen, J.; Fan, D.; Zhu, X.
2016
Transference of certain maximal Hilbert transforms on the torus. Zbl 1347.42033
Fan, Dashan; Wu, Huoxiong; Zhao, Fayou
2016
Unimodular Fourier multipliers on homogeneous Besov spaces. Zbl 1311.42030
Zhao, Guoping; Chen, Jiecheng; Fan, Dashan; Guo, Weichao
2015
Estimates for damped fractional wave equations and applications. Zbl 1322.35159
Chen, Jiecheng; Fan, Dashan; Zhang, Chunjie
2015
Product Hardy operators on Hardy spaces. Zbl 1343.42015
Fan, Dashan; Zhao, Fayou
2015
Hausdorff operator on real Hardy spaces. Zbl 1320.47036
Fan, Dashan; Lin, Xiaoying
2014
Multilinear fractional Hausdorff operators. Zbl 1322.42019
Fan, Da Shan; Zhao, Fa You
2014
Space-time estimates on damped fractional wave equation. Zbl 07022376
Chen, Jiecheng; Fan, Dashan; Zhang, Chunjie
2014
Global well-posedness and long time decay of fractional Navier-Stokes equations in Fourier-Besov spaces. Zbl 07022430
Xiao, Weiliang; Chen, Jiecheng; Fan, Dashan; Zhou, Xuhuan
2014
Hausdorff operators on Euclidean spaces. Zbl 1299.42078
Chen, Jiecheng; Fan, Dashan; Wang, Silei
2013
Non-isotropic singular integrals and maximal operators along surfaces of revolution. Zbl 1266.42032
Fan, Dashan; Wu, Huoxiong
2013
Estimates for unimodular multipliers on modulation Hardy spaces. Zbl 1269.42007
Chen, Jiecheng; Fan, Dashan; Sun, Lijing; Zhang, Chunjie
2013
Hausdorff operators on function spaces. Zbl 1261.42036
Chen, Jiecheng; Fan, Dashan; Li, Jun
2012
Asymptotic estimates for unimodular Fourier multipliers on modulation spaces. Zbl 1241.42010
Chen, Jiecheng; Fan, Dashan; Sun, Lijing
2012
Multilinear Hausdorff operators and their best constants. Zbl 1261.42035
Chen, Jie Cheng; Fan, Da Shan; Zhang, Chun Jie
2012
Estimates on fractional power dissipative equations in function spaces. Zbl 1242.42013
Chen, Jiecheng; Deng, Qingquan; Ding, Yong; Fan, Dashan
2012
Boundedness of Hausdorff operators on some product Hardy type spaces. Zbl 1265.42075
Chen, Jiecheng; Fan, Dashan; Zhang, Chunjie
2012
Estimates for wave and Klein-Gordon equations on modulation spaces. Zbl 1258.42022
Chen, JieCheng; Fan, DaShan
2012
$$L^p$$ bounds for singular integrals with rough kernels on product domains. Zbl 1261.42021
Ma, Li; Fan, Da Shan; Wu, Huo Xiong
2012
On the generalized Marcinkiewicz integral operators with rough kernels. Zbl 1217.42030
Fan, Dashan; Wu, Huoxiong
2011
Central oscillating multipliers on compact Lie groups. Zbl 1213.43003
Chen, Jiecheng; Fan, Dashan
2011
A bilinear fractional integral on compact Lie groups. Zbl 1246.43004
Chen, Jiecheng; Fan, Dashan
2011
Hardy space estimates for the wave equation on compact Lie groups. Zbl 1205.43005
Chen, Jiecheng; Fan, Dashan; Sun, Lijing
2010
Sharp $$L^{2}$$ boundedness of the oscillatory hyper-Hilbert transform along curves. Zbl 1193.42081
Chen, Jie Cheng; Fan, Da Shan; Zhu, Xiang Rong
2010
Rough bilinear fractional integrals with variable kernels. Zbl 1204.42027
Chen, Jiecheng; Fan, Dashan
2010
Boundedness of an oscillating multiplier on Triebel-Lizorkin spaces. Zbl 1210.42033
Cao, Wei; Chen, Jie Cheng; Fan, Da Shan
2010
A note on singular integrals associated with a variable surface of revolution. Zbl 1161.42006
Fan, Dashan; Sato, Shuichi
2009
Some bilinear estimates. Zbl 1189.42004
Chen, Jiecheng; Fan, Dashan
2009
A bilinear oscillatory integral along parabolas. Zbl 1165.42303
Fan, Dashan; Li, Xiaochun
2009
$$L^p$$ bounds for oscillatory hyper-Hilbert transform along curves. Zbl 1268.42033
Chen, Jiecheng; Fan, Dashan; Wang, Meng; Zhu, Xiangrong
2008
A parabolic singular integral operator with rough kernel. Zbl 1213.42037
Chen, Yanping; Ding, Yong; Fan, Dashan
2008
Singular integrals and fractional integrals in Triebel-Lizorkin spaces and in weighted $$L^p$$ spaces. Zbl 1214.42018
Fan, Dashan; Le, Hung Viet
2008
Certain oscillatory integrals on unit square and their applications. Zbl 1176.42005
Fan, DaShan; Wu, HuoXiong
2008
Operators with rough singular kernels. Zbl 1213.43016
Chen, Daning; Ding, Yong; Fan, Dashan
2008
On certain oscillatory operators along curves. Zbl 1174.42311
Wang, Meng; Chen, Jiecheng; Fan, Dashan
2007
On hyper-singular integral operators with variable kernels. Zbl 1213.42061
Bartl, Michael; Fan, Dashan
2007
Littlewood-Paley operators with variable kernels. Zbl 1124.42012
Chen, Jiecheng; Ding, Yong; Fan, Dashan
2006
A rough hypersingular integral operator with an oscillating factor. Zbl 1101.42007
Chen, Daning; Fan, Dashan; Le, Hung Viet
2006
Singular and fractional integrals along variable surfaces. Zbl 1129.42354
Fan, Dashan; Sato, Shuichi
2006
A note on certain square functions on product spaces. Zbl 1198.42016
Wang, Meng; Chen, Jiecheng; Fan, Dashan
2006
Rough singular integral operators on Hardy-Sobolev spaces. Zbl 1063.42007
Chen, Daning; Chen, Jiecheng; Fan, Dashan
2005
Convex hypersurfaces and $$L^p$$ estimates for Schrödinger equations. Zbl 1161.35474
Zheng, Quan; Yao, Xiaohua; Fan, Dashan
2004
Weighted weak type $$(1,1)$$ estimates for singular integrals and Littlewood–Paley functions. Zbl 1049.42006
Fan, Dashan; Sato, Shuichi
2004
Some maximal operators related to families of singular integral operators. Zbl 1066.42014
Xu, Han; Fan, Da Shan; Wang, Meng
2004
Certain operators with rough singular kernels. Zbl 1042.42008
Chen, Jiecheng; Fan, Dashan; Ying, Yiming
2003
On a hyper Hilbert transform. Zbl 1038.42012
Chen, Jiecheng; Ding, Yong; Fan, Dashan
2003
A note on the Marcinkiewicz integral operator with rough kernel on product spaces. Zbl 1043.42011
Ying, Yiming; Chen, Jiecheng; Fan, Dashan
2003
Singular integrals with rough kernels along real-analytic submanifolds in $${\mathbf{R}}^3$$. Zbl 1020.42007
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
2003
Singular integral operators on function spaces. Zbl 1018.42009
Chen, Jiecheng; Fan, Dashan; Ying, Yiming
2002
On the $$L^ p$$ boundedness of Marcinkiewicz integrals. Zbl 1035.42009
Ding, Yong; Fan, Dashan; Pan, Yibiao
2002
$$L^p$$ estimates for singular integrals associated to homogeneous surfaces. Zbl 0983.42007
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
2002
Remarks on Littlewood-Paley functions and singular integrals. Zbl 1029.42010
Fan, Dashan; Sato, Shuichi
2002
The method of rotation and Marcinkiewicz integrals on product domains. Zbl 1021.42004
Chen, Jiecheng; Fan, Dashan; Ying, Yiming
2002
A class of integral operators with variable kernels on Hardy spaces. Zbl 1015.42012
Ding, Yong; Chen, Jiecheng; Fan, Dashan
2002
Maximal singular integral operators along surfaces. Zbl 0993.42006
Fan, Dashan; Zheng, Quan
2002
Deleeuw’s theorem on Littlewood-Paley functions. Zbl 1035.42008
Chen, Chang-Pao; Fan, Dashan; Sato, Shuichi
2002
A note on a Marcinkiewicz integral operator. Zbl 0994.42012
Chen, Jiecheng; Fan, Dashan; Pan, Yibiao
2001
Weaker type $$(1,1)$$ estimates for Marcinkiewicz integrals with rough kernels. Zbl 1021.42005
Fan, Dashan; Sato, Shuichi
2001
Transference on certain multilinear multiplier operators. Zbl 0984.42006
Fan, Dashan; Sato, Shuichi
2001
Rough Marcinkiewicz integrals with $$L(\log^+L)^2$$ kernels on product spaces. Zbl 0994.42011
Chen, Jiecheng; Fan, Dashan; Ying, Yiming
2001
Certain square functions on product spaces. Zbl 0991.42006
Chen, Jiecheng; Ding, Yong; Fan, Dashan
2001
Marcinkiewicz integrals with rough kernels on product spaces. Zbl 0997.42006
Ding, Yong; Fan, Dashan; Pan, Yibiao
2001
$$L^p$$-boundedness of Marcinkiewicz integrals with Hardy space function kernels. Zbl 1009.42009
Ding, Yong; Fan, Dashan; Pan, Yibiao
2001
$$L^p$$-boundedness of Marcinkiewicz integrals with Hardy space function kernels. Zbl 0966.42008
Ding, Yong; Fan, Dashan; Pan, Yibiao
2000
On Littlewood-Paley functions and singular integrals. Zbl 0973.42009
Ding, Yong; Fan, Dashan; Pan, Yibiao
2000
Herz-type Hardy spaces on Vilenkin groups and their applications. Zbl 0957.43002
Fan, Dashan; Yang, Dachun
2000
$$L^p$$ boundedness of rough Marcinkiewicz integral on product domains. Zbl 0960.42005
Ding, Yong; Chen, Jiecheng; Fan, Dashan
2000
Weighted boundedness for a class of rough Marcinkiewicz integrals. Zbl 0949.42014
Ding, Yong; Fan, Dashan; Pan, Yibiao
1999
A note of a rough singular integral operator. Zbl 0929.42007
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
1999
A weighted norm inequality for rough singular integrals. Zbl 0935.42008
Fan, Dashan; Pan, Yibiao; Yang, Dachun
1999
A singular integral operator related to block spaces. Zbl 0935.42009
Al-Hasan, AbdelNaser J.; Fan, Dashan
1999
Singular integrals with rough kernels on product spaces. Zbl 0945.42007
Fan, Dashan; Guo, Kanghui; Pan, Yibiao
1999
...and 30 more Documents
all top 5

Cited by 418 Authors

 79 Fan, Dashan 58 Chen, Jiecheng 47 Ding, Yong 32 Wu, Huoxiong 28 Liu, Feng 24 Chen, Yanping 23 Lu, Shanzhen 19 Pan, Yibiao 17 Xue, Qingying 16 Guo, Weichao 16 Zhao, Guoping 15 Yabuta, Kôzô 15 Zhang, Chunjie 14 Guliyev, Vagif Sabir 13 Al-Salman, Ahmad 11 Yang, Dachun 11 Yu, Xiao 10 Zhao, Fayou 10 Zhu, Xiangrong 9 Duong, Dao Van 9 Fu, Zunwei 9 Le, Hung Viet 9 Sato, Shûichi 8 Al-Qassem, Hussain Mohammed 8 Omarova, Mehriban N. 8 Tao, Xiangxing 7 Akbulut, Ali 7 Cheng, Leslie C. 7 Gao, Guilian 7 Nguyen Minh Chuong 7 Yao, Xiaohua 7 Zhang, Pu 6 Sun, Lijing 5 Hussain, Amjad 5 Jiang, Liya 5 Liu, Honghai 5 Mirotin, Adol’f Rubimovich 5 Shi, Shaoguang 5 Wang, Hongbin 5 Wu, Xiaomei 5 Zhang, Daiqing 5 Zhang, Yandan 5 Zhao, Junyan 4 Dung, Kieu Huu 4 Hu, Guoen 4 Jia, Houyu 4 Li, Ran 4 Liu, Ronghui 4 Ruan, Jianmiao 4 Tang, Lin 4 Wang, Baoxiang 4 Wang, Hui 4 Wang, Liwei 4 Wang, Meng 4 Wu, Qingyan 4 Zheng, Quan 3 Ahmadli, Aysel A. 3 Chen, Daning 3 Deng, Qingquan 3 Guliyev, Ramin V. 3 Huang, Qiang 3 Kim, Jinmyong 3 Lai, Xudong 3 Li, Junfeng 3 Liflyand, Elijah 3 Lin, Yan 3 Lu, Guanghui 3 Ma, Bolin 3 Mao, Suzhen 3 Meskhi, Alexander 3 Mo, Huixia 3 Sawano, Yoshihiro 3 Tao, Shuangping 3 Volosivets, Sergeĭ Sergeevich 3 Wang, Xinxia 3 Xiao, Jie 3 Yu, Haixia 3 Zhu, Kai 2 Ajaib, Amna 2 Al-Dolat, Mohammed 2 Arnold, Anton 2 Bandaliev, Rovshan Alifaga ogly 2 Banquet Brango, Carlos 2 Betancor Perez, Jorge Juan 2 Bhimani, Divyang G. 2 Burenkov, Viktor Ivanovich 2 Cao, Wei 2 Celik, Suleyman 2 Chen, Xiaoli 2 Cheng, Meifang 2 Cordero, Elena 2 Damtew, Belay Mitiku 2 Duc Duyet, Nguyen 2 Duoandikoetxea, Javier 2 Ekincioglu, Ismail 2 Feuto, Justin 2 Guo, Jiuhua 2 Guo, Kanghui 2 Hamzayev, Vugar H. 2 He, Shaoyong ...and 318 more Authors
all top 5

Cited in 125 Serials

 51 Journal of Mathematical Analysis and Applications 46 Acta Mathematica Sinica. English Series 30 Applied Mathematics. Series B (English Edition) 30 Journal of Inequalities and Applications 19 Science China. Mathematics 17 Frontiers of Mathematics in China 16 Journal of Function Spaces 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Functional Analysis 11 Analysis in Theory and Applications 9 Integral Equations and Operator Theory 9 Proceedings of the American Mathematical Society 9 Transactions of the American Mathematical Society 8 Tohoku Mathematical Journal. Second Series 8 The Journal of Geometric Analysis 8 Journal of Pseudo-Differential Operators and Applications 7 Mathematische Nachrichten 7 Science in China. Series A 7 Journal of the Australian Mathematical Society 6 Journal of Differential Equations 6 Journal of Mathematical Inequalities 5 The Journal of Fourier Analysis and Applications 5 Abstract and Applied Analysis 5 Mathematical Inequalities & Applications 5 Journal of Function Spaces and Applications 5 Analysis and Mathematical Physics 4 Analysis Mathematica 4 Mathematische Zeitschrift 4 Results in Mathematics 4 Bulletin of the Korean Mathematical Society 4 Chinese Annals of Mathematics. Series B 4 Forum Mathematicum 4 Journal of Integral Equations and Applications 4 Potential Analysis 4 Complex Analysis and Operator Theory 4 Banach Journal of Mathematical Analysis 4 Journal of Nonlinear Science and Applications 3 Collectanea Mathematica 3 Journal of the Korean Mathematical Society 3 Nagoya Mathematical Journal 3 Revista Matemática Iberoamericana 3 Georgian Mathematical Journal 3 Tbilisi Mathematical Journal 3 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 3 Annals of Functional Analysis 3 Advances in Operator Theory 2 Computers & Mathematics with Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Russian Mathematics 2 Russian Journal of Mathematical Physics 2 Annales Mathématiques Blaise Pascal 2 Discrete and Continuous Dynamical Systems 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Revista Matemática Complutense 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Eurasian Mathematical Journal 2 Open Mathematics 1 Bulletin of the Australian Mathematical Society 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematica Hungarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Constructive Approximation 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 SIAM Journal on Mathematical Analysis 1 Acta Mathematica Sinica. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 Integral Transforms and Special Functions 1 Positivity 1 Taiwanese Journal of Mathematics ...and 25 more Serials
all top 5

Cited in 25 Fields

 444 Harmonic analysis on Euclidean spaces (42-XX) 117 Operator theory (47-XX) 100 Functional analysis (46-XX) 68 Partial differential equations (35-XX) 21 Real functions (26-XX) 16 Abstract harmonic analysis (43-XX) 14 Approximations and expansions (41-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Topological groups, Lie groups (22-XX) 10 Functions of a complex variable (30-XX) 6 Integral equations (45-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)