Basic Information

Faculty

• 理学部

Professional Memberships

• The Mathematical Society of Japan

Academic Degree

• Master of science(Osaka University)
• Doctor of science(Osaka University)

Academic Resume (Graduate Schools)

• Osaka University, Graduate school of science, Department of mathematics, 修了
• Osaka University, Graduate school of science, Department of school science, 修了

Academic Resume (Undergraduate School/Majors)

• Ehime University, Faculty of science, Department of mathematics, 卒業

High School

• High School

  大阪府立港高等学校

Research History

• From Oct. 2020, To Present

  Kyoto University, Graduate School of Science Division of Mathematics, Associate Professor
• From Apr. 2019, To Sep. 2020

  Shinshu University, Faculty of Science Department of Mathematics, Associate Professor
• From Apr. 2015, To Mar. 2019

  Shinshu University, Faculty of Science Department of Mathematics, Assistant professor (Tenure Track)
• From Apr. 2014, To Mar. 2015

  Project Assistant Professor
• From Apr. 2012, To Mar. 2014

  JSPS fellow
• From Oct. 2011, To Mar. 2012

  Research supporter
• From Apr. 2011, To Sep. 2011

  Researcher

ID,URL

• J-Global ID

  200901053717572429

• External link

  https://www.math.kyoto-u.ac.jp/~ytsutsui/

Website(s) (URL(s))

• https://www.math.kyoto-u.ac.jp/~ytsutsui/

researchmap URL

• https://researchmap.jp/y.tsutsui

Research

Research Topics, Overview of the research

• Research Topics

  Fourier, Harmonic analysis and partial differential equations

• Overview of the research

  Real analysis is a field of study that examines functions in detail through decomposition and recombination. It investigates how functions change under various operators. Such studies have significantly advanced, driven by demands from the theory of partial differential equations. The field is also active due to challenging problems like the Kakeya conjecture. My current interest lies in weighted inequalities, including their applications to parabolic and dispersive equations.

Research Areas

• Natural sciences, Mathematical analysis, Partial Differential Equations
• Natural sciences, Basic analysis, Harmonic Analysis

Papers

• Sparse bounds for local smoothing operators

  Yohei Tsutsui

  RIMS Kôkyûroku Bessatsu, Apr. 2019, Peer-reviewed, Invited

  
• Asymptotic stability of stationary Navier–Stokes flow in Besov spaces

  Jayson Cunanan; Takahiro Okabe; Yohei Tsutsui

  Asymptotic Analysis, 28 Jul. 2022, Peer-reviewed

  
• Remark on the strong solvability of the Navier–Stokes equations in the weak $$L^n$$ space

  Takahiro Okabe; Yohei Tsutsui

  Mathematische Annalen, 23 Jul. 2022, Peer-reviewed

  
• Equivalence of BMO-type Norms with Applications to the Heat and Stokes Semigroups

  M. Bolkart; Y. Giga; T. Suzuki; Y. Tsutsui

  Potential Anal, 2018, Peer-reviewed

  
• Time periodic strong solutions to the incompressible Navier Stokes equations with external forces of non-divergence form

  Takahiro Okabe; Yohei Tsutsui

  JOURNAL OF DIFFERENTIAL EQUATIONS, Dec. 2017, Peer-reviewed

  
• On analyticity of the L-p-Stokes semigroup for some non-Helmholtz domains

  Martin Bolkart; Yoshikazu Giga; Tatsu-Hiko Miura; Takuya Suzuki; Yohei Tsutsui

  MATHEMATISCHE NACHRICHTEN, Nov. 2017, Peer-reviewed

  
• Bounded global solutions to a Keller-Segel system with nondiffusive chemical in R-n

  Yohei Tsutsui

  JOURNAL OF EVOLUTION EQUATIONS, Jun. 2017, Peer-reviewed

  
• Navier-Stokes flow in the weighted Hardy space with applications to time decay problem

  Takahiro Okabe; Yohei Tsutsui

  JOURNAL OF DIFFERENTIAL EQUATIONS, Aug. 2016, Peer-reviewed

  
• Div-curl lemma with critical power weights in dimension three

  Yohei Tsutsui

  MATHEMATISCHE NACHRICHTEN, Feb. 2016, Peer-reviewed

  
• Trace Operators on Wiener Amalgam Spaces

  Jayson Cunanan; Yohei Tsutsui

  JOURNAL OF FUNCTION SPACES, 2016, Peer-reviewed

  
• Variable Lebesgue norm estimates for BMO functions. II

  Mitsuo Izuki; Yoshihiro Sawano; Yohei Tsutsui

  ANALYSIS MATHEMATICA, Sep. 2014, Peer-reviewed

  
• Global solutions to a chemotaxis system with non-diffusive memory

  Y. Sugiyama; Y. Tsutsui; J. J. L. Velazquez

  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Feb. 2014, Peer-reviewed

  
• An application of weighted Hardy spaces to the Navier-Stokes equations

  Yohei Tsutsui

  JOURNAL OF FUNCTIONAL ANALYSIS, Feb. 2014, Peer-reviewed

  
• A(infinity) constants between BMO and weighted BMO

  Yohei Tsutsui

  PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Jan. 2014, Peer-reviewed

  
• THE NAVIER-STOKES EQUATIONS AND WEAK HERZ SPACES

  Yohei Tsutsui

  ADVANCES IN DIFFERENTIAL EQUATIONS, Nov. 2011, Peer-reviewed

  
• Sharp Maximal Inequalities and Its Application to Some Bilinear Estimates

  Yohei Tsutsui

  JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, Apr. 2011, Peer-reviewed

  
• Pseudo-differential operators of class S-0,0(m) on the Herz-type spaces

  Yohei Tsutsui

  HOKKAIDO MATHEMATICAL JOURNAL, May 2009, Peer-reviewed

  

Misc.

• Sharp maximal inequalities and bilinear estimates (Harmonic Analysis and Nonlinear Partial Differential Equations)

  Tsutsui Yohei

  RIMS Kokyuroku Bessatsu, Jun. 2010

  

External funds: Kakenhi

• 調和解析における実関数論の方法とその応用

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Tokyo Woman's Christian University

  宮地 晶彦

  From 01 Apr. 2020, To 31 Mar. 2025, Granted

  調和解析;実関数論;関数解析;関数方程式;関数空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H01815/
• Real analysis via sparse domination

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12010:Basic analysis-related

  Kyoto University;Shinshu University

  Yohei Tsutsui

  From 01 Apr. 2019, To 31 Mar. 2023, Project Closed

  Sparse domionation;median;rearrangement;Navier-Stokes 方程式;sparse domination;rearrangements;medians;local smoothing;Medians;Rearrangements;Maximal functions;Sparse domination;Rearrangement;Median;Sparse bound;half wave operator;Riesz means;Kakeya conjecture;Local smoothing

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K03538/
• Modern Mathematical Analysis for the Fluid Dynamics

  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  清水 扇丈

  From 07 Feb. 2019, To 31 Mar. 2025, Granted

  関数方程式;関数解析;実解析;調和解析;微分幾何;Navier--Stokes方程式;流体方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18KK0072/
• Harmonic Analysis by the methods of real analysis

  Grant-in-Aid for Scientific Research (B)

  Tokyo Woman's Christian University

  Akihiko Miyachi

  From 01 Apr. 2016, To 31 Mar. 2020, Project Closed

  調和解析;実関数論;関数空間;偏微分方程式;特異積分作用素;擬微分作用素;最大関数;解析学;関数解析学;実解析;分数階積分作用素

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H03943/
• Research of Harmonic analysis and Partial differential equations

  Grant-in-Aid for Young Scientists (B)

  Shinshu University

  Tsutsui Yohei

  From 01 Apr. 2015, To 31 Mar. 2019, Project Closed

  Sparse bound;Navier-Stokes equations;Navier-Stokes 方程式;Navier-Stokes方程式;Besov空間;Wiener amalgam 空間;重みつきHardy空間;非圧縮Navier-Stokes方程式;BMO;Local smoothing;Fourier restriction

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K20919/
• Harmonic analysis by real variable methods and its applications

  Grant-in-Aid for Scientific Research (B)

  Tokyo Woman's Christian University

  Akihiko MIYACHI

  From 01 Apr. 2011, To 31 Mar. 2015, Project Closed

  特異積分;擬微分作用素;フーリエ乗子;最大作用素;双線形作用素;ハーディ空間;パラプロダクト;調和解析;関数空間;多重線形作用素;BMO

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23340034/
• 再配列や中央値を用いた可積分性を仮定しない実解析学

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  筒井 容平

  From 01 Apr. 2023, To 31 Mar. 2027, Granted

  median;rearrangement;Alvino's embedding;maximal function;Rearrangements;Medians

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K03181/
• 調和解析における実関数論の方法とその応用

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12020:Mathematical analysis-related

  Tokyo Woman's Christian University

  宮地 晶彦

  From 01 Apr. 2020, To 31 Mar. 2025, Granted

  調和解析;実関数論;関数解析;関数方程式;関数空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K20223/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  ILAS Seminar

  Z001, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Special Lecture on Mathematics 5

  7166, Year-long, Faculty of Science, 1
• From 01 Apr. 2025, To 31 Mar. 2026

  Graduate Lecture in Partial Differential Equations

  0406, Spring, Graduate School of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Partial Differential Equations

  8118, Spring, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Differential Equations B

  0541, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Differential Equations A

  0540, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Differential Equations D

  0543, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Differential Equations C

  0542, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  ILAS Seminar

  Z001, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Calculus II - Differential Equations

  N125, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Topics in Analysis A

  0174, Fall, Graduate School of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Analysis I

  4104, Fall, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Differential Equations D

  0543, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Differential Equations C

  0542, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Differential Equations B

  0541, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Differential Equations A

  0540, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  ILAS Seminar

  Z001, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2023, To 31 Mar. 2024

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Exercises in Analysis II

  3185, Fall, Faculty of Science, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Analysis d

  0477, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Analysis II

  3145, Fall, Faculty of Science, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Equations B

  0541, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Analysis a

  0474, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Equations b

  0443, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  ILAS Seminar

  Z001, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Analysis b

  0475, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Equations d

  0445, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Equations a

  0442, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Equations c

  0444, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Analysis c

  0476, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Equations A

  0540, Spring, Graduate School of Science, 3
• From Apr. 2021, To Mar. 2022

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Seminar on Analysis a

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Analysis b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Forefront of Mathematics and Mathematical Science II

  Fall, 理学部
• From Apr. 2021, To Mar. 2022

  Exercises in Analysis II

  Fall, 理学部