Harmonic Analysis, Kakeya problem

Natural sciences, Basic analysis, Basic analysis

★A Note on Embedding Inequalities for Weighted Sobolev and Besov Spaces
Hiroki Saito
Taiwanese Journal of Mathematics, Apr. 2022, Refereed, Not invited
Lead

★Dual of the Choquet spaces with general Hausdorff content
Hiroki Saito; Hitoshi Tanaka
Studia Mathematica, 2022, Refereed
Lead

Block decomposition and weighted Hausdorff content.
Hiroki Saito; Hitoshi Tanaka; Toshikazu Watanabe
Canadian Mathematical Bulletin, Mar. 2020, Refereed, Not invited
Lead

Fractional maximal operators with weighted Hausdorff content
Saito; H. Tanaka; H. and Watanabe; T
Positivity, 2019, Refereed, Not invited
Lead

Boundedness of the strong maximal operator with the Hausdorff content
H. Saito
Bull. Korean Math. Soc., 2019, Refereed, Not invited
Lead

The Fefferman-Stein type inequalities for strong fractional maximal operators
H. Saito; H. Tanaka
Results in Math., 2019, Refereed, Not invited
Lead

The Fefferman-Stein type inequalities for the multilinear strong maximal functions
J. Zhang; H. Saito and Q. Xue
Mathematical Inequalities and Applications, 2019, Refereed, Not invited

The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane
H. Saito and H. Tanaka
Canadian Mathematical Bulletin, 2018, Refereed, Not invited
Corresponding

A Conjecture Regarding Optimal Strichartz Estimates for the Wave Equation
Neal Bez; Chris Jeavons; Tohru Ozawa; Hiroki Saito
Trends in Mathematics (New Trends in Analysis and Interdisciplinary Applications), 2017, Refereed, Not invited

General maximal operators and the reverse H\"{o}lder classes
H.Saito and H.Tanaka
Ann. Acad. Sci. Fenn. Math., 2017, Refereed, Not invited
Lead

A NOTE ON THE KAKEYA MAXIMAL OPERATOR AND RADIAL WEIGHTS ON THE PLANE
Hiroki Saito; Yoshihiro Sawano
TOHOKU MATHEMATICAL JOURNAL, Dec. 2016, Refereed, Not invited

Abstract dyadic cubes and the dyadic maximal operator with the Hausdorff content
H.Saito; H.Tanaka and T.Watanabe
Bull. Sci. Math., 2016, Refereed, Not invited
Lead

Applications of the Funk--Hecke theorem to smoothing and trace estimates
B.Neal; H.Saito and M.Sugimoto
Adv. in Math., 2015, Refereed, Not invited

The Kakeya maximal operator on the variable Lebesgue spaces
Hiroki Saito; Hitoshi Tanaka
ARCHIV DER MATHEMATIK, Dec. 2014, Refereed, Not invited

DIRECTIONAL MAXIMAL OPERATORS AND RADIAL WEIGHTS ON THE PLANE
Hiroki Saito; Hitoshi Tanaka
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, Jun. 2014, Refereed, Not invited

Radon-Nikodym theorem with daniell scheme
Hiroki Saito
International Journal of Pure and Applied Mathematics, 2013, Refereed, Not invited

Characterization of the dual space of $L^1$ and Lebesgue Decomposition for non-$\sigma$-finite measure spaces
H.Saito
International Journal of Applied Mathematics, 2013, Refereed, Not invited
Lead

Some embedding inequalities for fractional Sobolev spaces
Hiroki Saito
日本数学会秋季大会, Sep. 2023, Not invited

Some embedding inequalities for weighted Sobolev and Besov spaces
Hiroki Saito
NCTS Conference on Fractional Integrals and related phenomena in Analysis, Dec. 2022, Invited

Weighted inequality for fractional Sobolev spaces and isoperimetric inequalities
齋藤洋樹
実解析シンポジウム2022, Oct. 2022, Not invited

A note on embedding inequalities for weighted Sobolev and Besov spaces
齋藤洋樹
日本数学会 秋季大会, Sep. 2022, Not invited

The strong maximal operators with Hausdorff content
H. Saito
NCTS Workshop on Harmonic Analysis, Mar. 2019, Invited

Hausdorff content and its applications
H. Saito
Real, Complex and Functional Analysis Seminar 2018, Nov. 2018, Not invited

Boundedness of the strong maximal operator with the Hausdorff content
H. Saito
実解析学シンポジウム2018, Oct. 2018, Not invited

Composition of maximal operators with weighted Hausdorff content
H. Saito
日本数学会, Sep. 2018, Not invited

Hausdorff 容量によるChoquet-Lorentz 空間上の極大関数の有界性について
齋藤洋樹
RIMS 共同研究(公開型)関数空間の深化とその周辺, Feb. 2018, Not invited

A simply connected Kakeya set and its application
齋藤洋樹
Real, Complex and Functional Analysis Seminar 2017, Dec. 2017, Not invited

掛谷の針問題から見る図学と解析学とのつながり
日本図学会 秋季大会, Dec. 2017, Not invited

The Fefferman-Stein type inequalities for strong fractional maximal operators
実解析シンポジウム2017, Nov. 2017, Not invited

Maximal operators with the weighted Hausdorff content
日本数学会, Sep. 2017, Not invited

Maximal operators with the weighted Hausdorffcontent
日本数学会, Sep. 2017, Not invited

Maximal operators with the weighted Hausdorff content
5th East Asian Conference in Harmonic Analysis and Applications, Jun. 2017, Not invited

Weighted maximal operators and related topics
Interactions between harmonic and geometric analysis, Nov. 2016, Invited

The Fefferman-Stein type inequality for the directional maximal operator
実解析シンポジウム2016, Oct. 2016, Not invited

Abstract dyadic cubes, maximal operators and Hausdorff content
日本数学会, Sep. 2016, Not invited

The Fefferman-Stein type inequality for the directional maximal operator
4th East Asian Conference in Harmonic Analysis and Applications, Aug. 2016, Not invited

General maximal operators and the Reverse H\"{o}lder classes
Harmonic Analysis, Geometric Analysis and PDE Workshop, Mar. 2016, Invited

Some remarks on the Kakeya maximal operator and $A_{\infty}^{*}$ weights
日本数学会, Sep. 2015, Not invited

Kakeya maximal operator and radial weights
3rd East Asian Conference in Harmonic Analysis and Applications, Aug. 2015, Not invited

荷重付掛谷極大関数の有界性について
第1回 工学院大学数理セミナー, May 2015, Not invited

Fourier制限問題と掛谷極大作用素について
調和解析セミナー, Dec. 2014, Invited

掛谷極大関数による掛谷問題へのアプローチ
解析ゼミ, Nov. 2014, Invited

Boundedness of the Kakeya maximal operators on the variable Lebesgue spaces
実解析シンポジウム2014, Nov. 2014, Not invited

Kakeya maximal operator (no dilation) with radial weights on the plane
日本数学会, Sep. 2014, Not invited

極大関数による掛谷問題の研究とその応用
第53回実関数論・関数解析学合同シンポジウム, Sep. 2014, Invited

Boundedness of the Kakeya maximal operators on the variable Lebesgue spaces
日本数学会, Mar. 2014, Not invited

Directional maximal operators and radial weights on the plane
実解析シンポジウム2013, Nov. 2013, Not invited

Directional maximal operators and radial weights on the plane
1st East Asian Conference in Harmonic Analysis and Applications, Oct. 2013, Not invited

Directional maximal operators and radial weights on the plane
日本数学会, Sep. 2013, Not invited

Radon-Nikodym Theorem with Daniell Scheme
確率論セミナー, Jul. 2013, Not invited

Directional maximal operators and radial weights on the plane
調和解析セミナー, Apr. 2013, Not invited

On Lusin's theorem for non-additive ordered vector space-valued measures
第21回関数空間セミナー, Dec. 2012, Not invited

Daniel schemeによる測度論の再考(測度の拡張と$\sigma$-有限性について)
実解析シンポジウム2012, Oct. 2012, Invited

Radon-Nikodym Theorem with Daniell Scheme
数理解析セミナー, Oct. 2012, Not invited

Characterization of the dual space $L^1$ with Daniell scheme
第20回関数空間セミナー, Dec. 2011, Not invited

Daniell積分によるLebesgue分解と測度論の再考
関数環研究集会, Dec. 2011, Not invited

Radon-Nikodym Theorem with Generalized Density
第19回関数空間セミナー, Dec. 2010, Not invited

Daniell 積分によるRadon-Nikodym の定理の新しい定式化とその応用
関数環研究集会, Nov. 2010, Not invited

Daniell 積分とその応用
確率解析とその周辺, Nov. 2007, Not invited

調和解析の掛谷問題への応用
Apr. 2015 - Mar. 2017
齋藤洋樹