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Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem 不变结构保持函数和奥卡-韦尔-卡普兰斯基密度型定理
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2023-12-01 DOI: 10.2748/tmj.20220412
James Eldred Pascoe
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引用次数: 0
Critical conditions and asymptotics for discrete systems of the Hardy-Littlewood-Sobolev type Hardy-Littlewood-Sobolev型离散系统的临界条件和渐近性
4区 数学
Tohoku Mathematical Journal Pub Date : 2023-09-01 DOI: 10.2748/tmj.20220107
Yutian Lei, Yayun Li, Ting Tang
{"title":"Critical conditions and asymptotics for discrete systems of the Hardy-Littlewood-Sobolev type","authors":"Yutian Lei, Yayun Li, Ting Tang","doi":"10.2748/tmj.20220107","DOIUrl":"https://doi.org/10.2748/tmj.20220107","url":null,"abstract":"In this paper, we study the Euler-Lagrange system associated with the extremal sequences of the discrete Hardy-Littlewood-Sobolev inequality with the Sobolev-type critical conditions. This system comes into play in estimating bounds of the Coulomb energy and is related to the study of conformal geometry. In discrete case, we show that if the solutions of the system are summable, they must be monotonically decreasing at infinity. Moreover, the decay rates of the solutions are obtained. By estimating the infinite series, we prove that the Serrin-type condition is critical for the existence of super-solutions of the system. In addition, we also obtain analogous properties of the Euler-Lagrange system of the extremal sequences of the discrete reversed Hardy-Littlewood-Sobolev inequality.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134962154","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: 1
Adelic Euler systems for $mathbb{G}_m$ $mathbb{G}_m$的阿德利克欧拉系统
4区 数学
Tohoku Mathematical Journal Pub Date : 2023-09-01 DOI: 10.2748/tmj.20220111
David Burns, Alexandre Daoud
{"title":"Adelic Euler systems for $mathbb{G}_m$","authors":"David Burns, Alexandre Daoud","doi":"10.2748/tmj.20220111","DOIUrl":"https://doi.org/10.2748/tmj.20220111","url":null,"abstract":"We define a notion of adelic Euler systems for $mathbb{G}_m$ over arbitrary number fields and prove that all such systems over $mathbb{Q}$ are cyclotomic in nature. We deduce that all Euler systems for $mathbb{G}_m$ over $mathbb{Q}$ are cyclotomic, as has been conjectured by Coleman, if and only if they validate an analogue of Leopoldt's Conjecture.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"200 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134962234","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
Geometric deformations of curves in the Minkowski plane 闵可夫斯基平面上曲线的几何变形
4区 数学
Tohoku Mathematical Journal Pub Date : 2023-09-01 DOI: 10.2748/tmj.20220221
Alex Paulo Francisco
{"title":"Geometric deformations of curves in the Minkowski plane","authors":"Alex Paulo Francisco","doi":"10.2748/tmj.20220221","DOIUrl":"https://doi.org/10.2748/tmj.20220221","url":null,"abstract":"In this paper, we propose a method to study plane curves deformations in the Minkowski plane taking into consideration their geometry as well as their singularities. This method is an extension of the method proposed by Salarinoghabi and Tari to curves in the Euclidean plane. We deal in detail with all local phenomena that occur generically in 2-parameters families of curves. In each case, we obtain the geometry of the deformed curve, that is, information about inflections, vertices and lightlike points. We also obtain the behavior of the evolute/caustic of a curve at especial points and the bifurcations that can occur when the curve is deformed.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134962157","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: 1
On regular $^*$-algebras of bounded linear operators: A new approach towards a theory of noncommutative Boolean algebras 有界线性算子的正则$^*$-代数:非交换布尔代数理论的一种新方法
4区 数学
Tohoku Mathematical Journal Pub Date : 2023-09-01 DOI: 10.2748/tmj.20220316
Michiya Mori
{"title":"On regular $^*$-algebras of bounded linear operators: A new approach towards a theory of noncommutative Boolean algebras","authors":"Michiya Mori","doi":"10.2748/tmj.20220316","DOIUrl":"https://doi.org/10.2748/tmj.20220316","url":null,"abstract":"We study (von Neumann) regular $^*$-subalgebras of $B(H)$, which we call R$^*$-algebras. The class of R$^*$-algebras coincides with that of “E$^*$-algebras that are pre-C$^*$-algebras” in the sense of Z. Szűcs and B. Takács. We give examples, properties and questions of R$^*$-algebras. We observe that the class of unital commutative R$^*$-algebras has a canonical one-to-one correspondence with the class of Boolean algebras. This motivates the study of R$^*$-algebras as that of noncommutative Boolean algebras. We explain that seemingly unrelated topics of functional analysis, like AF C$^*$-algebras and incomplete inner product spaces, naturally arise in the investigation of R$^*$-algebras. We obtain a number of results on R$^*$-algebras by applying various famous theorems in the literature.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134962070","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
Corrigenda: Relative algebro-geometric stabilities of toric manifolds (Tohoku Math. J. 71 (2019), 495–524) 更正:环形的相对代数-几何稳定性(东北数学)。J. 71 (2019)， 495-524)
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2023-06-01 DOI: 10.2748/tmj.20230227b
N. Yotsutani, B. Zhou
{"title":"Corrigenda: Relative algebro-geometric stabilities of toric manifolds (Tohoku Math. J. 71 (2019), 495–524)","authors":"N. Yotsutani, B. Zhou","doi":"10.2748/tmj.20230227b","DOIUrl":"https://doi.org/10.2748/tmj.20230227b","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46979412","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
Construction de la fonction holomorphe et bornée dans un domaine d'holomorphie de $mathbb{C}^2$ 在$mathbb{c}^2$的全息域中构造全息和有界函数
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2023-03-01 DOI: 10.2748/tmj.20210910
Kazuko Katô
{"title":"Construction de la fonction holomorphe et bornée dans un domaine d'holomorphie de $mathbb{C}^2$","authors":"Kazuko Katô","doi":"10.2748/tmj.20210910","DOIUrl":"https://doi.org/10.2748/tmj.20210910","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42965973","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
Irreducibility and uniqueness of symmetric measure for Markov processes Markov过程对称测度的不可约性和唯一性
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2023-03-01 DOI: 10.2748/tmj.20211102
P. He, J. Ying
{"title":"Irreducibility and uniqueness of symmetric measure for Markov processes","authors":"P. He, J. Ying","doi":"10.2748/tmj.20211102","DOIUrl":"https://doi.org/10.2748/tmj.20211102","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49019670","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
Ramification of torsion points on a curve with superspecial reduction over an absolutely unramified base 绝对未分枝基上具有超特殊约化曲线上扭转点的分枝
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2022-12-01 DOI: 10.2748/tmj.20210604
Yuichiro Hoshi
{"title":"Ramification of torsion points on a curve with superspecial reduction over an absolutely unramified base","authors":"Yuichiro Hoshi","doi":"10.2748/tmj.20210604","DOIUrl":"https://doi.org/10.2748/tmj.20210604","url":null,"abstract":"— Let p be a prime number, W an absolutely unramified p-adically complete discrete valuation ring with algebraically closed residue field, and X a curve over the field of fractions of W of genus greater than one. In the present paper, we study the ramification of torsion points on the curve X. A consequence of the main result of the present paper is no existence of ramified torsion point on X in the case where p is greater than three, the Jacobian variety J of X has good reduction over W , and the special fiber of the good model of J is superspecial. This consequence generalizes a theorem proved by Coleman.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46592412","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
The variation of a functional on the Riemannian submanifolds and its applications 黎曼子流形上泛函的变分及其应用
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2022-12-01 DOI: 10.2748/tmj.20210907a
Ningwei Cui, Linfeng zhou
{"title":"The variation of a functional on the Riemannian submanifolds and its applications","authors":"Ningwei Cui, Linfeng zhou","doi":"10.2748/tmj.20210907a","DOIUrl":"https://doi.org/10.2748/tmj.20210907a","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47629398","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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