## Long, Ruilin

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 Author ID: long.ruilin Published as: Long, Ruilin; Long, Rui-lin; Long, R.-L.; Long, R. more...less
 Documents Indexed: 35 Publications since 1977, including 1 Book Reviewing Activity: 58 Reviews Co-Authors: 12 Co-Authors with 17 Joint Publications 266 Co-Co-Authors
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### Co-Authors

 17 single-authored 3 Nie, Fusheng 2 Chao, Jia-Arng 2 Chen, Wen 2 Liu, Zhengquan 2 Peng, Lizhong 1 Chen, Dirong 1 Hang, Yongsheng 1 Mo, Qun 1 Shen, Zhongwei 1 Yang, Lo 1 Yuan, Shenglan 1 Zhu, Xuexian
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### Serials

 5 Acta Mathematica Sinica 4 Scientia Sinica. Series A 3 Chinese Annals of Mathematics. Series B 3 Kexue Tongbao 2 Approximation Theory and its Applications 2 Science in China. Series A 2 Applied and Computational Harmonic Analysis 1 Bulletin of the London Mathematical Society 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Illinois Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Chinese Annals of Mathematics. Series A 1 Probability Theory and Related Fields 1 International Journal of Mathematics 1 Journal of Approximation Theory and its Applications 1 Chinese Science Bulletin 1 The Journal of Fourier Analysis and Applications 1 Scientia Sinica
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### Fields

 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 5 Number theory (11-XX) 5 Abstract harmonic analysis (43-XX) 3 Topological groups, Lie groups (22-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

16 Publications have been cited 188 times in 165 Documents Cited by Year
Martingale spaces and inequalities. Zbl 0783.60047
Long, Ruilin
1993
Biorthogonal wavelet bases on $$\mathbb{R}^ d$$. Zbl 0846.42018
Long, Ruilin; Chen, Dirong
1995
The spaces generated by blocks. Zbl 0533.46014
Long, Ruilin
1984
Weighted Sobolev inequality and eigenvalue estimates of Schrödinger operators. Zbl 0786.46034
Long, Ruilin; Nie, Fusheng
1991
BMO functions in spaces of homogeneous type. Zbl 0572.42011
Long, Ruilin; Yang, Lo
1984
Wavelet basis packets and wavelet frame packets. Zbl 0882.42022
Long, Ruilin; Chen, Wen
1997
Martingale transforms with unbounded multipliers. Zbl 0746.60050
Chao, J.-A.; Long, R.-L.
1992
Martingale transforms and Hardy spaces. Zbl 0739.60032
Chao, J.-A.; Long, R.-L.
1992
Wavelets generated by vector multiresolution analysis. Zbl 0879.42024
Long, Ruilin; Chen, Wen; Yuan, Shenglan
1997
$$(p,q)$$ maximal inequalities with two weights in the martingale setting. Zbl 0656.42013
Long, Ruilin; Peng, Lizhong
1986
A note on a covering lemma of A. Cordoba and R. Fefferman. Zbl 0671.42019
Long, Ruilin; Shen, Zhongwei
1988
$$L^2$$-convergence of vector cascade algorithm. Zbl 0973.42028
Long, Ruilin; Mo, Qun
1999
Rearrangement techniques in martingale setting. Zbl 0712.60047
Long, Ruilin
1991
On tent spaces $$T_ p$$ and generalized Carleson measures. Zbl 0625.42008
Hang, Yongsheng; Long, Ruilin
1985
Decomposition of BMO functions and factorization of $$A_ p$$ weights in martingale setting. Zbl 0509.60046
Long, Ruilin; Peng, Lizhong
1983
$$L^ 2$$-boundedness of some singular integral operators on product domains. Zbl 0782.42017
Long, Ruilin; Zhu, Xue-Xian
1993
$$L^2$$-convergence of vector cascade algorithm. Zbl 0973.42028
Long, Ruilin; Mo, Qun
1999
Wavelet basis packets and wavelet frame packets. Zbl 0882.42022
Long, Ruilin; Chen, Wen
1997
Wavelets generated by vector multiresolution analysis. Zbl 0879.42024
Long, Ruilin; Chen, Wen; Yuan, Shenglan
1997
Biorthogonal wavelet bases on $$\mathbb{R}^ d$$. Zbl 0846.42018
Long, Ruilin; Chen, Dirong
1995
Martingale spaces and inequalities. Zbl 0783.60047
Long, Ruilin
1993
$$L^ 2$$-boundedness of some singular integral operators on product domains. Zbl 0782.42017
Long, Ruilin; Zhu, Xue-Xian
1993
Martingale transforms with unbounded multipliers. Zbl 0746.60050
Chao, J.-A.; Long, R.-L.
1992
Martingale transforms and Hardy spaces. Zbl 0739.60032
Chao, J.-A.; Long, R.-L.
1992
Weighted Sobolev inequality and eigenvalue estimates of Schrödinger operators. Zbl 0786.46034
Long, Ruilin; Nie, Fusheng
1991
Rearrangement techniques in martingale setting. Zbl 0712.60047
Long, Ruilin
1991
A note on a covering lemma of A. Cordoba and R. Fefferman. Zbl 0671.42019
Long, Ruilin; Shen, Zhongwei
1988
$$(p,q)$$ maximal inequalities with two weights in the martingale setting. Zbl 0656.42013
Long, Ruilin; Peng, Lizhong
1986
On tent spaces $$T_ p$$ and generalized Carleson measures. Zbl 0625.42008
Hang, Yongsheng; Long, Ruilin
1985
The spaces generated by blocks. Zbl 0533.46014
Long, Ruilin
1984
BMO functions in spaces of homogeneous type. Zbl 0572.42011
Long, Ruilin; Yang, Lo
1984
Decomposition of BMO functions and factorization of $$A_ p$$ weights in martingale setting. Zbl 0509.60046
Long, Ruilin; Peng, Lizhong
1983
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### Cited by 169 Authors

 22 Jiao, Yong 13 Liu, Peide 13 Weisz, Ferenc 10 Yu, Lin 9 Yang, Dachun 8 Xie, Guangheng 7 Wu, Lian 6 Chen, Wei 6 Hou, Youliang 6 Ren, Yanbo 5 Chen, Dirong 4 Behera, Biswaranjan 4 Franchi, Bruno 4 Hao, Zhiwei 4 Nakai, Eiichi 4 Pérez, Carlos 4 Zhou, Dejian 3 Ho, Kwok-Pun 3 Kikuchi, Masato 3 Li, Libo 3 Long, Long 3 Long, Ruilin 3 Peng, Lihua 3 Sadasue, Gaku 3 Wheeden, Richard Lee 3 Wu, Huoxiong 3 Zhang, Qingyue 2 Baldi, Annalisa 2 Chen, Wen 2 Debnath, Lokenath 2 Fan, Liping 2 Guo, Tiexin 2 He, Min 2 Jahan, Qaiser 2 Kovač, Vjekoslav 2 Li, Song 2 Li, Weiwei 2 Lu, Shanzhen 2 Luque, Teresa 2 Mamedov, Farman Imran 2 Pansu, Pierre 2 Parissis, Ioannis R. 2 Sawano, Yoshihiro 2 Shah, Firdous Ahmad 2 Shen, Zuowei 2 Szarvas, Kristóf 2 Torres, Rodolfo H. 2 Wang, Maofa 2 Yang, Anming 2 Yi, Rui 2 Zhang, Zhihua 1 Arai, Ryutaro 1 Aubakirov, T. U. 1 Buckley, Stephen M. 1 Canto, Javier 1 Chae, Gee Ju 1 Chai, Anwei 1 Chao, Jia-Arng 1 Chen, Jiecheng 1 Choulli, Tahir 1 Chua, Seng-Kee 1 De Carli, Laura 1 Ding, Wei 1 Ding, Yong 1 Fan, Qibin 1 Gorbachëv, Dmitriĭ Viktorovich 1 Guliyev, Vagif Sabir 1 Gutiérrez, Cristian E. 1 Guzmán-Partida, Martha 1 Hagelstein, Paul Alton 1 Han, Min 1 Han, Yongsheng 1 Hart, Jarod V. 1 He, Lechen 1 He, Tongjun 1 Hogan, Thomas A. 1 Hou, Shaoxiong 1 Huang, Yongdong 1 Jia, Laibing 1 Jia, Rong-Qing 1 Jiang, Ming-hong 1 Jiang, Qingtang 1 Kalenda, Ondřej F. K. 1 Kim, Hong Oh 1 Kim, Rae Young 1 Krawczyk, Leszek 1 Lacey, Michael T. 1 Lawton, Wayne M. 1 Le, Triet M. 1 Lee, Ming-Yi 1 Lei, Chongmin 1 Li, Yunzhang 1 Lin, Chincheng 1 Liu, Kaituo 1 Liu, Liguang 1 Liu, Zhisong 1 Logunov, Alexander Andreevich 1 Lu, Dayong 1 Ma, Tao 1 Mei, Tao ...and 69 more Authors
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### Cited in 76 Serials

 13 Journal of Mathematical Analysis and Applications 13 Statistics & Probability Letters 9 Acta Mathematica Sinica. English Series 9 Science China. Mathematics 8 Acta Mathematica Hungarica 6 Journal of Functional Analysis 6 Science in China. Series A 5 Transactions of the American Mathematical Society 5 Acta Mathematica Scientia. Series B. (English Edition) 4 Analysis Mathematica 4 Proceedings of the American Mathematical Society 4 The Journal of Geometric Analysis 4 Wuhan University Journal of Natural Sciences (WUJNS) 3 Journal of Approximation Theory 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematics. Series B (English Edition) 3 Applied and Computational Harmonic Analysis 2 Mathematische Zeitschrift 2 Probability Theory and Related Fields 2 The Journal of Fourier Analysis and Applications 2 Banach Journal of Mathematical Analysis 1 Applicable Analysis 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Matematički Vesnik 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Probability and Mathematical Statistics 1 Chinese Annals of Mathematics. Series B 1 Journal of Theoretical Probability 1 Forum Mathematicum 1 Sugaku Expositions 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Partial Differential Equations 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Calculus of Variations and Partial Differential Equations 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Electronic Communications in Probability 1 Abstract and Applied Analysis 1 Positivity 1 Taiwanese Journal of Mathematics 1 Revista Matemática Complutense 1 Analysis (München) 1 Trudy Instituta Matematiki 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Journal of Function Spaces and Applications 1 Communications in Mathematical Analysis 1 Frontiers of Mathematics in China 1 Operators and Matrices 1 Journal of Mathematical Inequalities 1 Journal of Nonlinear Science and Applications 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Annals of Functional Analysis 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Journal of Classical Analysis 1 Journal of Function Spaces
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### Cited in 25 Fields

 89 Harmonic analysis on Euclidean spaces (42-XX) 87 Probability theory and stochastic processes (60-XX) 63 Functional analysis (46-XX) 10 Real functions (26-XX) 9 Approximations and expansions (41-XX) 6 Abstract harmonic analysis (43-XX) 4 Partial differential equations (35-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)