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Tokyo Journal of Mathematics最新文献

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Smooth Affine $mathbb{G}_m$-surfaces with Finite Picard Groups and Trivial Units 平滑仿射$mathbb{G}_m具有有限Picard群和平凡单元的$-曲面
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2023-06-01 DOI: 10.3836/tjm/1502179385
Hideo Kojima
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引用次数: 0
Tabulation of Knots Up to Five Triple-crossings and Moves between Oriented Diagrams 结表多达五个三重交叉和移动之间的定向图
4区 数学
Tokyo Journal of Mathematics Pub Date : 2023-06-01 DOI: 10.3836/tjm/1502179382
Michał Jabłonowski
{"title":"Tabulation of Knots Up to Five Triple-crossings and Moves between Oriented Diagrams","authors":"Michał Jabłonowski","doi":"10.3836/tjm/1502179382","DOIUrl":"https://doi.org/10.3836/tjm/1502179382","url":null,"abstract":"We enumerate and show tables of minimal diagrams for all prime knots up to the triple-crossing number equal to five. We derive a minimal generating set of oriented moves connecting triple-crossing diagrams of the same oriented knot. We also present a conjecture about a strict lower bound of the triple-crossing number of a knot related to the breadth of its Alexander polynomial.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135219499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On Semilinear Elliptic Equations with Hardy-Leray Potentials 具有Hardy-Leray势的半线性椭圆方程
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.3836/tjm/1502179389
Yayun Li, Y. Lei
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引用次数: 0
Cyclic Parallel Structure Jacobi Operator for Real Hypersurfaces in the Complex Quadric 复二次型实超曲面的循环平行结构Jacobi算子
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.3836/tjm/1502179392
Hyunjin Lee, Y. Suh
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引用次数: 0
Oriented and Standard Shadowing Properties for Topological Flows 拓扑流的定向和标准遮蔽属性
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.3836/tjm/1502179387
Sogo Murakami
{"title":"Oriented and Standard Shadowing Properties for Topological Flows","authors":"Sogo Murakami","doi":"10.3836/tjm/1502179387","DOIUrl":"https://doi.org/10.3836/tjm/1502179387","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41476454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Submanifolds of the Associative Grassmann Manifold 结合Grassmann流形的一些子流形
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.3836/tjm/1502179395
Yuuki Sasaki
{"title":"Some Submanifolds of the Associative Grassmann Manifold","authors":"Yuuki Sasaki","doi":"10.3836/tjm/1502179395","DOIUrl":"https://doi.org/10.3836/tjm/1502179395","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47673459","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Unit Signature Ranks in Real Biquadratic and Multiquadratic Number Fields 实双二次和多二次数域中的单位签名秩
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.3836/tjm/1502179391
D. Dummit, H. Kisilevsky
{"title":"Unit Signature Ranks in Real Biquadratic and Multiquadratic Number Fields","authors":"D. Dummit, H. Kisilevsky","doi":"10.3836/tjm/1502179391","DOIUrl":"https://doi.org/10.3836/tjm/1502179391","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49550149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Boundedness of Fractional Integrals on Hardy Spaces Associated with Ball Quasi-Banach Function Spaces 与球拟Banach函数空间相关的Hardy空间上分数积分的有界性
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-06-13 DOI: 10.3836/tjm/1502179390
Yiqun Chen, H. Jia, Dachun Yang
{"title":"Boundedness of Fractional Integrals on Hardy Spaces Associated with Ball Quasi-Banach Function Spaces","authors":"Yiqun Chen, H. Jia, Dachun Yang","doi":"10.3836/tjm/1502179390","DOIUrl":"https://doi.org/10.3836/tjm/1502179390","url":null,"abstract":"Let $X$ be a ball quasi-Banach function space on ${mathbb R}^n$ and $H_X({mathbb R}^n)$ the Hardy space associated with $X$, and let $alphain(0,n)$ and $betain(1,infty)$. In this article, assuming that the (powered) Hardy--Littlewood maximal operator satisfies the Fefferman--Stein vector-valued maximal inequality on $X$ and is bounded on the associate space of $X$, the authors prove that the fractional integral $I_{alpha}$ can be extended to a bounded linear operator from $H_X({mathbb R}^n)$ to $H_{X^{beta}}({mathbb R}^n)$ if and only if there exists a positive constant $C$ such that, for any ball $Bsubset mathbb{R}^n$, $|B|^{frac{alpha}{n}}leq C |mathbf{1}_B|_X^{frac{beta-1}{beta}}$, where $X^{beta}$ denotes the $beta$-convexification of $X$. Moreover, under some different reasonable assumptions on both $X$ and another ball quasi-Banach function space $Y$, the authors also consider the mapping property of $I_{alpha}$ from $H_X({mathbb R}^n)$ to $H_Y({mathbb R}^n)$ via using the extrapolation theorem. All these results have a wide range of applications. Particularly, when these are applied, respectively, to Morrey spaces, mixed-norm Lebesgue spaces, local generalized Herz spaces, and mixed-norm Herz spaces, all these results are new. The proofs of these theorems strongly depend on atomic and molecular characterizations of $H_X({mathbb R}^n)$.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47322485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Irrationality Exponents of Semi-regular Continued Fractions 半正则连分数的无理数指数
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-02-22 DOI: 10.3836/tjm/1502179394
D. Duverney, I. Shiokawa
{"title":"Irrationality Exponents of Semi-regular Continued Fractions","authors":"D. Duverney, I. Shiokawa","doi":"10.3836/tjm/1502179394","DOIUrl":"https://doi.org/10.3836/tjm/1502179394","url":null,"abstract":"We prove that the formula giving the exact value of the irrationality exponent of regular continued fractions remains valid for semi-regular continued fractions satisfyiong certain conditions.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70165829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The Flux Homomorphism on a Surface with Boundary and Central Extensions of Diffeomorphism Groups 微分同态群的边界和中心扩展曲面上的通量同态
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-02-01 DOI: 10.3836/tjm/1502179358
Shuhei Maruyama
{"title":"The Flux Homomorphism on a Surface with Boundary and Central Extensions of Diffeomorphism Groups","authors":"Shuhei Maruyama","doi":"10.3836/tjm/1502179358","DOIUrl":"https://doi.org/10.3836/tjm/1502179358","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42679767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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