Saito Hiroki 齋藤洋樹

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SAITO Hiroki 齋藤洋樹

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Researcher Number	20736631
Other IDs
Affiliation (Current)	2025: 日本大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help	2023: 日本大学, 理工学部, 准教授 2019 – 2022: 日本大学, 理工学部, 助教 2017: 日本大学, 理工学部, 助教 2015 – 2016: 工学院大学, 工学部, 講師
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Basic analysis
Keywords	Principal Investigator 分数冪Sobolev空間 / 荷重 / Choquet空間 / Besov空間 / Rieszポテンシャル / Hausdorff容量 / 極大関数 / 等周不等式 / 双対空間 / 荷重付きHausdorff容量 … More / capacity / 分数冪積分作用素 / 荷重付Hausdorff容量 / Sobolev空間 / Morrey空間 / 荷重理論 / 分数冪極大関数 / 調和解析 / 掛谷問題 Less

荷重付分数冪Sobolev空間の偏微分方程式と等周不等式への応用Principal Investigator
- Principal Investigator
  
  齋藤洋樹
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Nihon University
Research of function spaces with Hausdorff capacitiesPrincipal Investigator
- Principal Investigator
  
  SAITO Hiroki
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Nihon University
Application for the Kakeya problem in Harmonic AnalysisPrincipal Investigator
- Principal Investigator
  
  SAITO Hiroki
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nihon University
  Kogakuin University

All 2024 2023 2022 2021 2019 2017 2016 2015

All Journal Article Presentation

[Journal Article] CHOQUET INTEGRALS, HAUSDORFF CONTENT AND FRACTIONAL OPERATORS2024
- Author(s)
  HATANO NAOYA、KAWASUMI RYOTA、SAITO HIROKI、TANAKA HITOSHI
- Journal Title
  
  Bulletin of the Australian Mathematical Society
  
  Volume: - Issue: 2 Pages: 1-12
- DOI
  10.1017/s000497272400011x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14577, KAKENHI-PROJECT-23K20223
[Journal Article] A Note on Embedding Inequalities for Weighted Sobolev and Besov Spaces2022
- Author(s)
  Hiroki Saito
- Journal Title
  
  TAIWANESE JOURNAL OF MATHEMATICS
  
  Volume: 26 Issue: 2 Pages: 363-379
- DOI
  10.11650/tjm/211204
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14577
[Journal Article] Block Decomposition and Weighted Hausdorff Content2019
- Author(s)
  Saito Hiroki、Tanaka Hitoshi、Watanabe Toshikazu
- Journal Title
  
  Canadian Mathematical Bulletin
  
  Volume: 63 Issue: 1 Pages: 141-156
- DOI
  10.4153/s000843951900033x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03510, KAKENHI-PROJECT-19K14577, KAKENHI-PROJECT-16H03943, KAKENHI-PROJECT-15K04918
[Journal Article] The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane.2017
- Author(s)
  齋藤洋樹, 田中仁
- Journal Title
  
  Canadian Mathematical Bulletin
  
  Volume: 印刷中 Issue: 1 Pages: 191-200
- DOI
  10.4153/cmb-2017-024-x
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K17551, KAKENHI-PROJECT-16H03943
[Journal Article] General maximal operators and the Reverse Holder classes2017
- Author(s)
  H. Saito and H. Tanaka
- Journal Title
  
  Annales Academiae Scientiarum Fennicae. Mathematica
  
  Volume: 42 Pages: 1-25
- DOI
  10.5186/aasfm.2017.4227
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16H03943, KAKENHI-PROJECT-15K17551
[Journal Article] Abstract dyadic cubes, maximal operators and Hausdorff content2016
- Author(s)
  齋藤洋樹,田中仁, 渡辺俊一
- Journal Title
  
  Bulletin des Sciences Mathematiques
  
  Volume: 未定 Issue: 6 Pages: 757-773
- DOI
  10.1016/j.bulsci.2016.02.001
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K17551, KAKENHI-PROJECT-16H03943
[Journal Article] A note on the Kakeya maximal operator and radial weights on the plane2016
- Author(s)
  齋藤洋樹, 澤野嘉宏
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: 未定
- NAID
  130008145001
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17551
[Journal Article] Applications of the Funk-Hecke theorem to smoothing and trace estimates2015
- Author(s)
  Neal Bez, 齋藤洋樹, 杉本充
- Journal Title
  
  Advances in Mathematics
  
  Volume: 285 Pages: 1767-1795
- DOI
  10.1016/j.aim.2015.08.025
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17551, KAKENHI-PROJECT-26887008, KAKENHI-PROJECT-26287022
[Presentation] Some embedding inequalities for fractional Sobolev spaces2023
- Author(s)
  齋藤洋樹
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-23K03171
[Presentation] A note on embedding inequalities for weighted Sobolev and Besov spaces2022
- Author(s)
  齋藤洋樹
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-19K14577
[Presentation] Some embedding inequalities for weighted Sobolev and Besov spaces2022
- Author(s)
  齋藤洋樹
- Organizer
  NCTS Conference on Fractional Integrals and related phenomena in Analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14577
[Presentation] Weighted inequality for fractional Sobolev spaces and isoperimetric inequalities2022
- Author(s)
  齋藤洋樹
- Organizer
  実解析シンポジウム2022
- Data Source
  KAKENHI-PROJECT-19K14577
[Presentation] Choquet integrals, Hausdorff content and sparse operator2022
- Author(s)
  齋藤洋樹
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-19K14577
[Presentation] Some embedding inequalities for weighted Sobolev and Besov spaces2021
- Author(s)
  齋藤洋樹
- Organizer
  Real, Complex and Functional Analysis Seminar 2021
- Data Source
  KAKENHI-PROJECT-19K14577
[Presentation] Dual of the Choquet spaces with weighted Hausdorff content2019
- Author(s)
  齋藤洋樹
- Organizer
  Function Spaces and Geometric Analysis and Their Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14577
[Presentation] Hausdorff容量によるChoquet空間上において強極大関数が有界となる指数について2019
- Author(s)
  齋藤洋樹
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-19K14577
[Presentation] Dual of the Choquet spaces with weighted Hausdorff content2019
- Author(s)
  齋藤洋樹
- Organizer
  実解析シンポジウム2019
- Data Source
  KAKENHI-PROJECT-19K14577
[Presentation] Hausdorff容量によるChoquet空間の双対空間について2019
- Author(s)
  齋藤洋樹
- Organizer
  Real, Complex and Functional Analysis Seminar 2019
- Data Source
  KAKENHI-PROJECT-19K14577
[Presentation] A simply connected Kakeya set and its application2017
- Author(s)
  齋藤洋樹
- Organizer
  Real, Complex and Functional Analysis Seminar 2017
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] The Fefferman-Stein type inequalities for strong fractional maximal operators2017
- Author(s)
  齋藤洋樹
- Organizer
  実解析シンポジウム2017
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] Maximal operators with the weighted Hausdorff content2017
- Author(s)
  齋藤洋樹
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] 掛谷の針問題から見る図学と解析学とのつながり2017
- Author(s)
  齋藤洋樹
- Organizer
  日本図学会秋季大会
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] Maximal operators with the weighted Hausdorff content2017
- Author(s)
  齋藤洋樹
- Organizer
  5th East Asian Conference in Harmonic Analysis and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] General maximal operators and the Reverse Holder classes2016
- Author(s)
  齋藤洋樹
- Organizer
  Harmonic Analysis, Geometric Analysis and PDE Workshop
- Place of Presentation
  埼玉大学
- Year and Date
  2016-03-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] The Fefferman-Stein type inequality for the directional maximal operator2016
- Author(s)
  齋藤洋樹
- Organizer
  4th East Asian Conference in Harmonic Analysis and Applications.
- Place of Presentation
  Yonsei University
- Year and Date
  2016-08-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] Abstract dyadic cubes, maximal operators and Hausdorff content2016
- Author(s)
  齋藤洋樹
- Organizer
  日本数学会
- Place of Presentation
  関西大学
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] The Fefferman-Stein type inequality for the directional maximal operator2016
- Author(s)
  齋藤洋樹
- Organizer
  実解析シンポジウム2016
- Place of Presentation
  奈良女子大学
- Year and Date
  2016-10-21
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] Weighted maximal operators and related topics2016
- Author(s)
  齋藤洋樹
- Organizer
  Interactions between harmonic and geometric analysis
- Place of Presentation
  埼玉大学
- Year and Date
  2016-11-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] Some remarks on the Kakeya maximal operator and A∞* weights2015
- Author(s)
  齋藤洋樹
- Organizer
  日本数学会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-15K17551
[Presentation] Kakeya maximal operator and radial weights2015
- Author(s)
  齋藤洋樹
- Organizer
  3rd East Asian Conference in Harmonic Analysis and Applications
- Place of Presentation
  東京大学
- Year and Date
  2015-08-10
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17551

1. 田中仁

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

Saito Hiroki 齋藤 洋樹

SAITO Hiroki 齋藤 洋樹

Research Projects

Research Products

Co-Researchers

荷重付分数冪Sobolev空間の偏微分方程式と等周不等式への応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research of function spaces with Hausdorff capacitiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Application for the Kakeya problem in Harmonic AnalysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] CHOQUET INTEGRALS, HAUSDORFF CONTENT AND FRACTIONAL OPERATORS2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A Note on Embedding Inequalities for Weighted Sobolev and Besov Spaces2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Block Decomposition and Weighted Hausdorff Content2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane.2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] General maximal operators and the Reverse Holder classes2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Abstract dyadic cubes, maximal operators and Hausdorff content2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A note on the Kakeya maximal operator and radial weights on the plane2016

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Applications of the Funk-Hecke theorem to smoothing and trace estimates2015

Author(s)

Journal Title

DOI

Data Source

[Presentation] Some embedding inequalities for fractional Sobolev spaces2023

Author(s)

Organizer

Data Source

[Presentation] A note on embedding inequalities for weighted Sobolev and Besov spaces2022

Author(s)

Organizer

Data Source

[Presentation] Some embedding inequalities for weighted Sobolev and Besov spaces2022

Author(s)

Organizer

Data Source

[Presentation] Weighted inequality for fractional Sobolev spaces and isoperimetric inequalities2022

Author(s)

Organizer

Data Source

[Presentation] Choquet integrals, Hausdorff content and sparse operator2022

Saito Hiroki 齋藤洋樹

SAITO Hiroki 齋藤洋樹