Edit Profile (opens in new tab) Sato, Shûichi Co-Author Distance Author ID: sato.shuichi Published as: Sato, Shuichi Homepage: https://ridb.kanazawa-u.ac.jp/public/detail_en.php?id=2998 Documents Indexed: 64 Publications since 1981, including 1 Additional arXiv Preprint Reviewing Activity: 9 Reviews Co-Authors: 10 Co-Authors with 13 Joint Publications 515 Co-Co-Authors all top 5 Co-Authors 51 single-authored 7 Fan, Dashan 3 Ding, Yong 1 Chen, Chang-Pao 1 Fu, Zunwei 1 Lu, Shanzhen 1 Shi, Shaoguang 1 Wang, Fan 1 Yabuta, Kôzô 1 Yang, Dachun 1 Yuan, Wen all top 5 Serials 9 Studia Mathematica 6 Tôhoku Mathematical Journal. Second Series 3 Integral Equations and Operator Theory 2 Journal of Mathematical Analysis and Applications 2 Arkiv för Matematik 2 Hokkaido Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Mathematical Inequalities & Applications 2 Scientiae Mathematicae Japonicae 2 Journal of the Australian Mathematical Society 2 RIMS Kôkyûroku Bessatsu 1 Bulletin of the Australian Mathematical Society 1 Rocky Mountain Journal of Mathematics 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Studia Scientiarum Mathematicarum Hungarica 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Forum Mathematicum 1 The Journal of Fourier Analysis and Applications 1 Analysis (München) 1 Communications in Contemporary Mathematics 1 The Quarterly Journal of Mathematics 1 Surveys in Mathematics and its Applications 1 Linear and Nonlinear Analysis 1 SN Partial Differential Equations and Applications all top 5 Fields 61 Harmonic analysis on Euclidean spaces (42-XX) 13 Functional analysis (46-XX) 6 Operator theory (47-XX) 5 Abstract harmonic analysis (43-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 297 times in 186 Documents Cited by ▼ Year ▼ Estimates for singular integrals and extrapolation. Zbl 1170.42006 Sato, Shuichi 33 2009 Remarks on square functions in the Littlewood-Paley theory. Zbl 0914.42012 Sato, Shuichi 26 1998 Weaker type \((1,1)\) estimates for Marcinkiewicz integrals with rough kernels. Zbl 1021.42005 Fan, Dashan; Sato, Shuichi 26 2001 A note on singular integrals associated with a variable surface of revolution. Zbl 1161.42006 Fan, Dashan; Sato, Shuichi 17 2009 Estimates for singular integrals along surfaces of revolution. Zbl 1182.42019 Sato, Shuichi 13 2009 Transference on certain multilinear multiplier operators. Zbl 0984.42006 Fan, Dashan; Sato, Shuichi 12 2001 Estimates for Littlewood-Paley functions and extrapolation. Zbl 1166.42009 Sato, Shuichi 11 2008 Remarks on Littlewood-Paley functions and singular integrals. Zbl 1029.42010 Fan, Dashan; Sato, Shuichi 10 2002 Littlewood-Paley operators and Sobolev spaces. Zbl 1348.46042 Sato, Shuichi 9 2014 Littlewood-Paley functions on homogeneous groups. Zbl 1332.42007 Ding, Yong; Sato, Shuichi 9 2016 Multilinearized Littlewood-Paley operators. Zbl 1005.42012 Sato, Shuichi; Yabuta, Kôzô 9 2002 Weak type estimates for some maximal operators on the weighted Hardy spaces. Zbl 0852.47016 Sato, Shuichi 9 1995 Weighted weak type \((1,1)\) estimates for singular integrals and Littlewood–Paley functions. Zbl 1049.42006 Fan, Dashan; Sato, Shuichi 8 2004 On weighted weak type norm inequalities for one-sided oscillatory singular integrals. Zbl 1257.42022 Fu, Zunwei; Lu, Shanzhen; Sato, Shuichi; Shi, Shaoguang 8 2011 Weighted weak type \((1,1)\) estimates for oscillatory singular integrals. Zbl 0966.42004 Sato, Shuichi 7 2000 Littlewood-Paley equivalence and homogeneous Fourier multipliers. Zbl 1364.42025 Sato, Shuichi 7 2017 Estimates for singular integrals on homogeneous groups. Zbl 1261.42025 Sato, Shuichi 7 2013 Characterization of parabolic Hardy spaces by Littlewood-Paley functions. Zbl 1401.42021 Sato, Shuichi 6 2018 Lusin functions on product spaces. Zbl 0652.42007 Sato, Shuichi 6 1987 An atomic decomposition for parabolic \(H^ p\) spaces on product domains. Zbl 0674.42004 Sato, Shuichi 6 1988 Generalized Littlewood-Paley characterizations of fractional Sobolev spaces. Zbl 1410.46024 Sato, Shuichi; Wang, Fan; Yang, Dachun; Yuan, Wen 6 2018 Spherical square functions of Marcinkiewicz type with Riesz potentials. Zbl 1364.42024 Sato, Shuichi 5 2017 Some weighted estimates for Littlewood–Paley functions and radial multipliers. Zbl 1049.42011 Sato, Shuichi 5 2003 Weighted inequalities on product domains. Zbl 0667.42008 Sato, Shuichi 4 1989 Square functions related to integral of Marcinkiewicz and Sobolev spaces. Zbl 1424.46051 Sato, Shuichi 4 2016 Maximal functions associated with curves and the Calderon-Zygmund method of rotations. Zbl 0605.42017 Sato, Shuichi 3 1986 Singular and fractional integrals along variable surfaces. Zbl 1129.42354 Fan, Dashan; Sato, Shuichi 3 2006 A note on weighted estimates for certain classes of pseudodifferential operators. Zbl 1081.35167 Sato, Shuichi 3 2005 Singular integrals associated with functions of finite type and extrapolation. Zbl 1230.42022 Sato, Shuichi 3 2011 Weak-type (1, 1) estimates for parabolic singular integrals. Zbl 1215.42022 Sato, Shuichi 3 2011 A weighted vector-valued weak type \((1,1)\) inequality and spherical summation. Zbl 0826.42010 Sato, Shuichi 2 1994 Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity. Zbl 1426.42014 Sato, Shuichi 2 2019 Some weighted weak type estimates for rough operators. Zbl 0926.42012 Sato, Shuichi 2 1997 Spherical summability and a vector-valued inequality. Zbl 0821.42011 Sato, Shuichi 2 1995 Divergence of the Bochner-Riesz means in the weighted Hardy spaces. Zbl 0904.42010 Sato, Shuichi 2 1996 A note on \(L^p\) estimates for singular integrals. Zbl 1194.42025 Sato, Shuichi 2 2010 Deleeuw’s theorem on Littlewood-Paley functions. Zbl 1035.42008 Chen, Chang-Pao; Fan, Dashan; Sato, Shuichi 1 2002 Vector valued inequalities and Littlewood-Paley operators on Hardy spaces. Zbl 1423.42039 Sato, Shuichi 1 2019 Characterization of \(H^1\) Sobolev spaces by square functions of Marcinkiewicz type. Zbl 1433.46027 Sato, Shuichi 1 2019 Boundedness of Littlewood-Paley operators relative to non-isotropic dilations. Zbl 1513.42089 Sato, Shuichi 1 2019 Entropy and almost everywhere convergence of Fourier series. Zbl 0497.42005 Sato, Shuichi 1 1981 Lusin functions and nontangential maximal functions in the \(H^ p\) theory on the product of upper half-spaces. Zbl 0567.31003 Sato, Shuichi 1 1985 Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type. Zbl 1523.46029 Sato, Shuichi 1 2022 Weighted weak type \((1,1)\) estimates for singular integrals with non-isotropic homogeneity. Zbl 1337.42015 Sato, Shuichi 1 2016 Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type. Zbl 1523.46029 Sato, Shuichi 1 2022 Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity. Zbl 1426.42014 Sato, Shuichi 2 2019 Vector valued inequalities and Littlewood-Paley operators on Hardy spaces. Zbl 1423.42039 Sato, Shuichi 1 2019 Characterization of \(H^1\) Sobolev spaces by square functions of Marcinkiewicz type. Zbl 1433.46027 Sato, Shuichi 1 2019 Boundedness of Littlewood-Paley operators relative to non-isotropic dilations. Zbl 1513.42089 Sato, Shuichi 1 2019 Characterization of parabolic Hardy spaces by Littlewood-Paley functions. Zbl 1401.42021 Sato, Shuichi 6 2018 Generalized Littlewood-Paley characterizations of fractional Sobolev spaces. Zbl 1410.46024 Sato, Shuichi; Wang, Fan; Yang, Dachun; Yuan, Wen 6 2018 Littlewood-Paley equivalence and homogeneous Fourier multipliers. Zbl 1364.42025 Sato, Shuichi 7 2017 Spherical square functions of Marcinkiewicz type with Riesz potentials. Zbl 1364.42024 Sato, Shuichi 5 2017 Littlewood-Paley functions on homogeneous groups. Zbl 1332.42007 Ding, Yong; Sato, Shuichi 9 2016 Square functions related to integral of Marcinkiewicz and Sobolev spaces. Zbl 1424.46051 Sato, Shuichi 4 2016 Weighted weak type \((1,1)\) estimates for singular integrals with non-isotropic homogeneity. Zbl 1337.42015 Sato, Shuichi 1 2016 Littlewood-Paley operators and Sobolev spaces. Zbl 1348.46042 Sato, Shuichi 9 2014 Estimates for singular integrals on homogeneous groups. Zbl 1261.42025 Sato, Shuichi 7 2013 On weighted weak type norm inequalities for one-sided oscillatory singular integrals. Zbl 1257.42022 Fu, Zunwei; Lu, Shanzhen; Sato, Shuichi; Shi, Shaoguang 8 2011 Singular integrals associated with functions of finite type and extrapolation. Zbl 1230.42022 Sato, Shuichi 3 2011 Weak-type (1, 1) estimates for parabolic singular integrals. Zbl 1215.42022 Sato, Shuichi 3 2011 A note on \(L^p\) estimates for singular integrals. Zbl 1194.42025 Sato, Shuichi 2 2010 Estimates for singular integrals and extrapolation. Zbl 1170.42006 Sato, Shuichi 33 2009 A note on singular integrals associated with a variable surface of revolution. Zbl 1161.42006 Fan, Dashan; Sato, Shuichi 17 2009 Estimates for singular integrals along surfaces of revolution. Zbl 1182.42019 Sato, Shuichi 13 2009 Estimates for Littlewood-Paley functions and extrapolation. Zbl 1166.42009 Sato, Shuichi 11 2008 Singular and fractional integrals along variable surfaces. Zbl 1129.42354 Fan, Dashan; Sato, Shuichi 3 2006 A note on weighted estimates for certain classes of pseudodifferential operators. Zbl 1081.35167 Sato, Shuichi 3 2005 Weighted weak type \((1,1)\) estimates for singular integrals and Littlewood–Paley functions. Zbl 1049.42006 Fan, Dashan; Sato, Shuichi 8 2004 Some weighted estimates for Littlewood–Paley functions and radial multipliers. Zbl 1049.42011 Sato, Shuichi 5 2003 Remarks on Littlewood-Paley functions and singular integrals. Zbl 1029.42010 Fan, Dashan; Sato, Shuichi 10 2002 Multilinearized Littlewood-Paley operators. Zbl 1005.42012 Sato, Shuichi; Yabuta, Kôzô 9 2002 Deleeuw’s theorem on Littlewood-Paley functions. Zbl 1035.42008 Chen, Chang-Pao; Fan, Dashan; Sato, Shuichi 1 2002 Weaker type \((1,1)\) estimates for Marcinkiewicz integrals with rough kernels. Zbl 1021.42005 Fan, Dashan; Sato, Shuichi 26 2001 Transference on certain multilinear multiplier operators. Zbl 0984.42006 Fan, Dashan; Sato, Shuichi 12 2001 Weighted weak type \((1,1)\) estimates for oscillatory singular integrals. Zbl 0966.42004 Sato, Shuichi 7 2000 Remarks on square functions in the Littlewood-Paley theory. Zbl 0914.42012 Sato, Shuichi 26 1998 Some weighted weak type estimates for rough operators. Zbl 0926.42012 Sato, Shuichi 2 1997 Divergence of the Bochner-Riesz means in the weighted Hardy spaces. Zbl 0904.42010 Sato, Shuichi 2 1996 Weak type estimates for some maximal operators on the weighted Hardy spaces. Zbl 0852.47016 Sato, Shuichi 9 1995 Spherical summability and a vector-valued inequality. Zbl 0821.42011 Sato, Shuichi 2 1995 A weighted vector-valued weak type \((1,1)\) inequality and spherical summation. Zbl 0826.42010 Sato, Shuichi 2 1994 Weighted inequalities on product domains. Zbl 0667.42008 Sato, Shuichi 4 1989 An atomic decomposition for parabolic \(H^ p\) spaces on product domains. Zbl 0674.42004 Sato, Shuichi 6 1988 Lusin functions on product spaces. Zbl 0652.42007 Sato, Shuichi 6 1987 Maximal functions associated with curves and the Calderon-Zygmund method of rotations. Zbl 0605.42017 Sato, Shuichi 3 1986 Lusin functions and nontangential maximal functions in the \(H^ p\) theory on the product of upper half-spaces. Zbl 0567.31003 Sato, Shuichi 1 1985 Entropy and almost everywhere convergence of Fourier series. Zbl 0497.42005 Sato, Shuichi 1 1981 all cited Publications top 5 cited Publications all top 5 Cited by 162 Authors 25 Liu, Feng 21 Wu, Huoxiong 19 Sato, Shûichi 13 Xue, Qingying 13 Yang, Dachun 8 Fan, Dashan 8 Fu, Zunwei 8 Pan, Yibiao 8 Yabuta, Kôzô 7 Shi, Shaoguang 7 Yuan, Wen 6 Cheng, Leslie C. 6 Li, Baode 6 Liu, Jun 6 Lu, Shanzhen 5 Chen, Jiecheng 5 Liu, Ronghui 5 Zhang, Pu 4 Al-Salman, Ahmad 4 Si, Zengyan 4 Zhang, Daiqing 3 Al-Qassem, Hussain Mohammed 3 Bownik, Marcin 3 Chen, Yanping 3 Ding, Yong 3 Ho, Kwok-Pun 3 Hou, Xianming 3 Yu, Xiao 3 Zhang, Yandan 3 Zhou, Yuan 2 Betancor Perez, Jorge Juan 2 Duoandikoetxea, Javier 2 Han, Yanyan 2 Hart, Jarod V. 2 He, Qianjun 2 He, Shaoyong 2 Lai, Xudong 2 Lee, Ming-Yi 2 Li, Bo 2 Li, Ji 2 Liu, Suying 2 Mao, Suzhen 2 Miyaoka, Reiko 2 Mohanty, Parasar 2 Oliveira, Lucas S. 2 Rodríguez-Mesa, Lourdes 2 Shrivastava, Saurabh 2 Wei, Mingquan 2 Weisz, Ferenc 2 Zhao, Fayou 1 Abidin, Muhammad Zainul 1 Ahmad, Jamshaid 1 Al-Dolat, Mohammed 1 Al-mohammed, Omar 1 Al-Rawashdeh, Ahmad Saleh 1 Almeida, Víctor M. 1 Alnimer, Nazzal 1 Alqassem, Hussain 1 Bez, Neal 1 Bhojak, Ankit 1 Bose, Debashish 1 Bu, Rui 1 Castro, Alejandro J. 1 Chaffee, Lucas 1 Chen, Chang-Pao 1 Chen, Jiao 1 Cirant, Marco 1 Cleanthous, Galatia 1 Darweesh, Amer H. 1 de la Sen, Manuel 1 Deng, Qingquan 1 Diestel, Geoff 1 Fan, Xingya 1 Fan, Zhijie 1 Fariña, Juan Carlos 1 Georgiadis, Athanasios G. 1 Goffi, Alessandro 1 Grafakos, Loukas 1 Gubinelli, Massimiliano 1 Guedjiba, Djalal Eddine 1 Haroske, Dorothee D. 1 Hawawsheh, Laith 1 He, Jianxun 1 He, Sha 1 Huang, Liang 1 Huang, Long 1 Jiang, Yinsheng 1 Katatbeh, Qutaibeh Deeb 1 Kim, Yong-Cheol 1 Koch, Herbert 1 Kokilashvili, Vakhtang 1 Krause, Ben 1 Lacey, Michael T. 1 Le, Hung Viet 1 Lee, Sanghyuk 1 Li, Kangwei 1 Li, Xiang 1 Li, Yin 1 Li, Zhongkai 1 Liao, Minfeng ...and 62 more Authors all top 5 Cited in 70 Serials 16 Journal of Mathematical Analysis and Applications 12 Journal of Inequalities and Applications 10 Acta Mathematica Sinica. English Series 8 Applied Mathematics. Series B (English Edition) 8 Frontiers of Mathematics in China 8 Journal of Function Spaces 6 The Journal of Geometric Analysis 6 Science China. Mathematics 5 Mathematische Nachrichten 4 Journal of Functional Analysis 4 Journal of the Korean Mathematical Society 4 Tôhoku Mathematical Journal. Second Series 4 Bulletin of the Korean Mathematical Society 4 The Journal of Fourier Analysis and Applications 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Collectanea Mathematica 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Abstract and Applied Analysis 3 Journal of the Australian Mathematical Society 3 Analysis in Theory and Applications 3 Mediterranean Journal of Mathematics 3 Journal of Mathematical Inequalities 3 Open Mathematics 2 Studia Mathematica 2 Arkiv för Matematik 2 Czechoslovak Mathematical Journal 2 Integral Equations and Operator Theory 2 Kodai Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Forum Mathematicum 2 Turkish Journal of Mathematics 2 Taiwanese Journal of Mathematics 2 Mathematical Inequalities & Applications 2 Journal of Pseudo-Differential Operators and Applications 1 Mathematical Notes 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Revista Matemática Complutense 1 Analysis (München) 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 Acta Mathematica Sinica. Chinese Series 1 Banach Journal of Mathematical Analysis 1 Journal of Nonlinear Science and Applications 1 Annals of Functional Analysis 1 Analysis and Mathematical Physics 1 SN Partial Differential Equations and Applications 1 Frontiers of Mathematics all top 5 Cited in 18 Fields 178 Harmonic analysis on Euclidean spaces (42-XX) 49 Functional analysis (46-XX) 34 Operator theory (47-XX) 7 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Partial differential equations (35-XX) 3 Integral equations (45-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year