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## Long, Ruilin

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

 15 single-authored 3 Nie, Fusheng 2 Chen, Wen 2 Liu, Zhengquan 2 Peng, Lizhong 1 Chen, Dirong 1 Hang, Yongsheng 1 Liu, Peide 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 Chinese Annals of Mathematics. Series A 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

 15 Harmonic analysis on Euclidean spaces (42-XX) 11 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 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 163 times in 140 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
Wavelet basis packets and wavelet frame packets. Zbl 0882.42022
Long, Ruilin; Chen, Wen
1997
Weighted Sobolev inequality and eigenvalue estimates of Schrödinger operators. Zbl 0786.46034
Long, Ruilin; Nie, Fusheng
1991
Martingale transforms with unbounded multipliers. Zbl 0746.60050
Chao, J.-A.; Long, R.-L.
1992
BMO functions in spaces of homogeneous type. Zbl 0572.42011
Long, Ruilin; Yang, Lo
1984
Martingale transforms and Hardy spaces. Zbl 0739.60032
Chao, J.-A.; Long, R.-L.
1992
The spaces generated by blocks. Zbl 0533.46014
Long, Ruilin
1984
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
$$L^ 2$$-boundedness of some singular integral operators on product domains. Zbl 0782.42017
Long, Ruilin; Zhu, Xue-Xian
1993
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
$$L^2$$-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
BMO functions in spaces of homogeneous type. Zbl 0572.42011
Long, Ruilin; Yang, Lo
1984
The spaces generated by blocks. Zbl 0533.46014
Long, Ruilin
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 164 Authors

 18 Jiao, Yong 11 Liu, Peide 10 Yu, Lin 8 Weisz, Ferenc 6 Hou, Youliang 6 Yang, Dachun 5 Chen, Dirong 5 Ren, Yanbo 5 Wu, Lian 4 Behera, Biswaranjan 4 Nakai, Eiichi 3 Chen, Wei 3 Franchi, Bruno 3 Kikuchi, Masato 3 Long, Ruilin 3 Peng, Lihua 3 Sadasue, Gaku 3 Wu, Huoxiong 3 Xie, Guangheng 3 Zhang, Qingyue 3 Zhou, Dejian 2 Baldi, Annalisa 2 Chen, Wei 2 Chen, Wen 2 Debnath, Lokenath 2 Guo, Tiexin 2 Hao, Zhiwei 2 He, Min 2 Ho, Kwok-Pun 2 Jahan, Qaiser 2 Kovač, Vjekoslav 2 Li, Song 2 Li, Weiwei 2 Liu, Peide 2 Lu, Shanzhen 2 Luque, Teresa 2 Mamedov, Farman Imran 2 Pansu, Pierre 2 Parissis, Ioannis R. 2 Pérez, Carlos E. 2 Ren, Yu Bing 2 Shah, Firdous Ahmad 2 Shen, Zuowei 2 Szarvas, Kristóf 2 Torres, Rodolfo H. 2 Wang, Maofa 2 Wheeden, Richard Lee 2 Zhang, Zhihua 1 Arai, Ryutaro 1 Aubakirov, T. U. 1 Buckley, Stephen M. 1 Chae, Gee Ju 1 Chai, Anwei 1 Chao, Jia-Arng 1 Chen, Jiecheng 1 Chen, Weile 1 Choulli, Tahir 1 Chua, Seng-Kee 1 De Carli, Laura 1 Ding, Wei 1 Ding, Yong 1 Fan, Liping 1 Fan, Qibin 1 Gorbachëv, Dmitriĭ Viktorovich 1 Gutiérrez, Cristian E. 1 Guzmán-Partida, Martha 1 Hagelstein, Paul Alton 1 Han, Min 1 Han, Yongsheng 1 Hao, Zhifeng 1 Hart, Jarod V. 1 He, Tongjun 1 Hogan, Thomas A. 1 Hou, Shaoxiong 1 Hou, Yang-Lai 1 Hou, Yu-Long 1 Huang, Yongdong 1 Jia, Laibing 1 Jia, Rong-Qing 1 Jiang, Qingtang 1 Jiao, YanQiong 1 Jiao, Yunxiu 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, Libo 1 Li, Lushu 1 Li, Yunzhang 1 Lin, Chincheng 1 Liu, Kaituo 1 Liu, Liguang 1 Liu, Pengda 1 Liu, Zhisong 1 Logunov, Alexander Andreevich ...and 64 more Authors
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#### Cited in 69 Serials

 12 Journal of Mathematical Analysis and Applications 12 Statistics & Probability Letters 9 Science China. Mathematics 8 Acta Mathematica Sinica. English Series 6 Acta Mathematica Hungarica 6 Science in China. Series A 4 Journal of Functional Analysis 4 Wuhan University Journal of Natural Sciences (WUJNS) 3 Analysis Mathematica 3 Journal of Approximation Theory 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied and Computational Harmonic Analysis 3 Acta Mathematica Scientia. Series B. (English Edition) 2 Probability Theory and Related Fields 2 The Journal of Geometric Analysis 2 Applied Mathematics. Series B (English Edition) 2 The Journal of Fourier Analysis and Applications 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 Mathematische Zeitschrift 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 Tohoku 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 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 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 Journal of Mathematical Inequalities 1 Banach Journal of Mathematical Analysis 1 Journal of Nonlinear Science and Applications 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Journal of Classical Analysis
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#### Cited in 25 Fields

 73 Probability theory and stochastic processes (60-XX) 72 Harmonic analysis on Euclidean spaces (42-XX) 52 Functional analysis (46-XX) 9 Real functions (26-XX) 8 Approximations and expansions (41-XX) 4 Partial differential equations (35-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Numerical analysis (65-XX) 2 Number theory (11-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 Operator theory (47-XX) 1 Differential geometry (53-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)