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Researcher Information

last modified:2017/05/23

Professor SATO Shuichi

Faculty, Affiliation

Faculty of Education, Institute of Human and Social Sciences

College and School Educational Field

Division of Innovative Technology and Science, Graduate School of Natural Science and Technology

Laboratory

Academic Background

Career

Year & Month of Birth

Academic Society

Mathematical Society of Japan
American Mathematical Society

Award

Specialities

Basic analysis

Speciality Keywords

singular integral, Fourier expansion

Research Themes

harmonic analysis

Books

Papers

  •  Spherical square functions of Marcinkiewicz type with Riesz potentials Shuichi Sato Arch. Math.  108 4 415--426 2017/04/01
  •  Littlewood-Paley equivalence and homogeneous Fourier multipliers Shuichi Sato Integr. Equ. Oper. Theory  87 15--44 2017/01/01
  •  Square functions related to integral of Marcinkiewicz and Sobolev spaces Shuichi Sato Linear and Nonlinear Analysis 2 2 237--252  2016/12/31
  •  Weighted weak type (1,1) estimates for singular integrals with non-isotropic homogeneity  Shuichi Sato Arkiv för Matematik 54  1 157-180 2016/04/01
  •  Littlewood-Paley operators and Sobolev spaces.  Sato, Shuichi Ill. J. Math. 58 No. 4 1025-1039 2015/12

show all

  •  Littlewood-Paley functions on homogeneous groups.  Ding, Yong; Sato, Shuichi Forum Math. 28 No. 1 43-55  2016/01
  •  Boundedness of Littlewood-Paley operators  Shuichi Sato RIMS Kokyuroku Bessatsu 49 75-101 2014/12
  •  Cesàro and Riesz means of critical order on certain function spaces Shuichi Sato Proceedings of the fourth international symposium on Banach and function spaces IV 225-230 2014/08
  •  Pointwise convergence of Cesàro and Riesz means on certain function spaces S. Sato  Acta Sci. Math. (Szeged) 80 129--139 2014/06
  •   Maximal singular integrals on product homogeneous groups  Y. Ding and S. Sato Studia Math. 222  41—49 2014/06
  •  Singular integrals on product homogeneous groups Yong Ding Integr. Equ. Oper. Theory 76 1  55--79 2013/05
  •  Estimates for singular integrals on homogeneous groups J. Math. Anal. Appl. 400  2 311--330 2013/04
  •  Nonisotropic dilations and the method of rotations with weight Proc. Amer. Math. Soc. 140 8 2791–2801 2012/08
  •  On weighted weak type norm inequalities for one-sided oscillatory singular integrals Fu, Zunwei; Lu, Shanzhen; Sato, Shuichi; Shi, Shaoguang Studia Mathematica 207(2) 137-151 2011/12
  •  Singular integrals associated with functions of finite type and extrapolation Analysis, Munich 31 3 273--291 2011/08
  •  Weak-type (1, 1) estimates for parabolic singular integrals Proc. Edinb. Math. Soc. 54 1 221-247  2011/01
  •  A note on L^p estimates for singular integrals Sci. Math. Jpn. 71 343--348 2010/04
  •  On certain estimates of singular integrals useful for extrapolation RIMS Kokyuroku Bessatsu 14  155--162 2009/11
  •   Estimates for singular integrals along surfaces of revolution J. Aust. Math. Soc. 86 413--430 2009/08
  •  Estimates for singular integrals and extrapolation Studia Math. 192 219--233 2009/04
  •   A note on singular integrals associated with a variable surface  Dashan Fan Math. Inequal. Appl. 12 441--454 2009/04
  •  Estimates for Littlewood-Paley functions and extrapolation  Integr. equ. oper. theory 62  429—440 2008/11
  •  Non-regular pseudo-differential operators on the weighted Triebel-Lizorkin spaces Tohoku Math. J. 59 (2007)  323--339 2007/09
  •  Weighted estimates for maximal functions associated with Fourier multipliers Studia Sci. Math. Hungarica 44 (3) (2007)  317--330 2007/05
  •  Singular and fractional integrals along variable surfaces Dashan Fan Hokkaido Mathematical Journal 35   61-85 2006/02
  •  Singular integrals and Littlewood-Paley functions, Selected papers on differential equations and analysis AMS Translations. Series 2 215  57-78  2005/12
  •  A note on weighted estimates for certain classes of pseudo-differential operators Rocky Mountain J. Math. 35  267-284 2005/12
  •  Weighted weak type $(1,1)$ estimates for singular integrals and Littlewood-Paley functions Dashan Fan Studia Math. 163   119-136 2004/12
  •  特異積分と Littlewood-Paley 関数 数学 55 2 128-147 2003/04
  •  Some weighted estimates for Littlewood-Paley functions and radial multipliers J. Math. Anal. Appl. 2003/02
  •  Remarks on Littlewood-Paley functions and singular integrals Dashan Fan  J. Math. Soc. Japan 54 3 565--585 2002/07
  •  Multilinearized Littlewood-Paley operators Kozo Yabuta Sci. Math. Jpn. 55 3 447—-453 2002/05
  •  DeLeeuw's theorem on Littlewood-Paley functions C.-P. Chen, Dashan Fan Nagoya Math. J. 165 23--42 2002/03
  •  Weak type (1,1) estimates for Marcinkiewicz integrals with rough kernels Dashan Fan Tohoku Math. J. 53 265--284 2001/06
  •  Transference on certain multilinear multiplier operators Dashan Fan  J. Aust. Math. Soc. 70 1 37--55 2001/02
  •  Weighted weak type (1,1) estimates for oscillatory singular integrals Studia Math. 141 1 1--24 2000/12
  •  Weak (1,1) estimates for Littlewood-Paley functions with rough kernels Proceedings of the Second ISAAC Congress 1 83--87 2000/12
  •  Weighted weak type (1,1) estimates for oscillatory singular integrals with Dini kernels Bull. Fac. Educ. Kanazawa Univ. Nat. Sci. 49 1—22 2000/02
  •  Multiparameter Marcinkiewicz integrals and a resonance theorem Bull. Fac. Educ. Kanazawa Univ. Nat. Sci. 48  1--21 1999/02
  •  Remarks on square functions in the Littlewood-Paley theory Bull. Austral. Math. Soc. 58 2 199--211 1998/12
  •  Some weighted weak type estimates for rough operators Math. Nachr. 187 211--240 1997/12
  •  Divergence of the Bochner-Riesz means in the weighted Hardy spaces Studia Math. 118 3 261--275 1996/12
  •  Weak type estimates for some maximal operators on the weighted Hardy spaces Ark. Mat. 33 2  377--384 1995/10
  •  Spherical summability and a vector-valued inequality Bull. London Math. Soc. 27 1 58--64 1995/01
  •  A weighted vector-valued weak type (1,1) inequality and spherical summation Studia Math. 109 2 159--170 1994/12
  •  On an application of the Marcinkiewicz integral for the product space J. London Math. Soc. 47 73--78 1993/02
  •   Note on a Littlewood-Paley operator in higher dimensions  J. London Math. Soc. 42 3 527--534 1990/12
  •  Weighted inequalities on product domains Studia Math. 92 1 59--72 1989/12
  •  An atomic decomposition for parabolic Hp spaces on product domains Proc. Amer. Math. Soc. 104 1 185--192 1988/09
  •  Lusin functions on product spaces Tohoku Math. J. 39  41--59 1987/03
  •  Maximal functions associated with curves and the Calderon-Zygmund method of rotations Trans. Amer. Math. Soc. 293 799--806 1986/02
  •  Lusin functions and nontangential maximal functions in the Hp theory on the product of upper half spaces Tohoku Math. J. 37 1--13 1985/03
  •  Entropy and almost everywhere covergence of Fourier series Tohoku Math. J. 33 593--597 1981/12
  •  A note on a Fourier multiplier of two variables Tohoku Math. J. 33 139--143 1981/03

Conference Presentations

  • Square functions of Marcinkiewicz type and Sobolev spaces(2017/03/04)
  • Square functions related to Marcinkiewicz integral and Sobolev spaces(conference:The Fifth International Symposium on BANACH and FUNCTION SPACES 2015 (ISBFS 2015))(2015/09/02)
  • Some weighted weak type estimates for singular integrals(conference:Harmonic Analysis and Applications, Chern Institute of Mathematics, Nankai University, Tianjin)(2014/06/11)

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

○「フーリエ積分と特異積分に関する基礎的・応用的研究」(2016-) 
○「フーリエ積分と特異積分に関する基礎的・応用的研究」(2013-2015) 
○「多変数フーリエ積分に関する基礎的・応用的研究」(2009-2011) 
○「多変数フーリエ積分に関する基礎的・応用的研究 」(2007-2008) 
○「多変数フーリエ積分に関する基礎的・応用的研究 」(2005-2006) 
○「多変数フーリエ積分に関する基礎的・応用的研究 」(2003-2004) 
○「多変数コーリエ積分に関する基礎的・応用的研究」(2001-2002) 
○「多変数フーリエ積分に関する基礎的・応用的研究」(1999-2000) 
○「多変数フーリエ積分に関する基礎的・応用的研究」(1997-1998) 
○「ハーディ空間の実解析的研究(特に多変数の場合) 」(1988-1988) 
○「ハーディ空間の実解析的研究(特に多変数の場合)」(1985-1985) 

Classes (Bachelors)

○Studies in Curriculum Design for School Mathematics I(2017)
○Fundamentals of Analysis A(2017)
○Studies in Curriculum Design for School Mathematics II(2017)
○Seminar in Mathematics II(2017)
○Calculus(2017)
○Seminar in Mathematics I(2017)
○Exercises in Analysis(2017)
○Fundamentals of Analysis B(2017)
○Modern Analysis(2017)
○Applied Analysis(2017)
○Probability and Statistics(2017)
○Probability and Statistics(2016)
○Seminar in Mathematics II(2016)
○Studies in Curriculum Design for School Mathematics II(2016)
○Studies in Curriculum Design for School Mathematics I(2016)
○Exercises in Analysis(2016)
○Fundamentals of Analysis A(2016)
○Fundamentals of Analysis B(2016)
○Seminar in Mathematics I(2016)
○Modern Analysis(2016)
○Applied Analysis(2016)

Classes (Graduate Schools)

○Real Analysis and Its Applications(2017)
○Real Analysis and Its Applications(2017)
○Real Analysis and Its Applications(2017)
○Real Analysis and Its Applications(2017)
○Real Analysis and Its Applications(2016)
○Topics in Curriculum Content of Mathematics C(2016)
○Seminar in Curriculum Content of Mathematics C(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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