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Analytic and Gevrey regularity for certain sums of two squares in two variables 某些两变量二乘之和的解析正则性和 Gevrey 正则性
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2024-03-01 DOI: 10.2748/tmj.20220613
Antonio Bove
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引用次数: 0
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
{"title":"Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem","authors":"James Eldred Pascoe","doi":"10.2748/tmj.20220412","DOIUrl":"https://doi.org/10.2748/tmj.20220412","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139019019","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
Erratum by editorial office: Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential (Tohoku Math.J. 75 (2023), 215--232) 编辑部的勘误：非线性薛定谔方程的最小质量炸裂解 (Tohoku Math.J. 75 (2023), 215--232)
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2023-12-01 DOI: 10.2748/tmj.20231115
Naoki Matsui
{"title":"Erratum by editorial office: Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential (Tohoku Math.J. 75 (2023), 215--232)","authors":"Naoki Matsui","doi":"10.2748/tmj.20231115","DOIUrl":"https://doi.org/10.2748/tmj.20231115","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139018370","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
On the Blair's conjecture for contact metric three-manifolds 关于接触度量三漫游的布莱尔猜想
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2023-12-01 DOI: 10.2748/tmj.20220530
Domenico Perrone
{"title":"On the Blair's conjecture for contact metric three-manifolds","authors":"Domenico Perrone","doi":"10.2748/tmj.20220530","DOIUrl":"https://doi.org/10.2748/tmj.20220530","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139016099","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
Weighted $L^2$ harmonic 1-forms and the topology at infinity of complete noncompact weighted manifolds 完全非紧凑加权流形的加权 $L^2$ 谐波 1-forms 和无限拓扑学
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2023-12-01 DOI: 10.2748/tmj.20220513
Keomkyo Seo, Gabjin Yun
{"title":"Weighted $L^2$ harmonic 1-forms and the topology at infinity of complete noncompact weighted manifolds","authors":"Keomkyo Seo, Gabjin Yun","doi":"10.2748/tmj.20220513","DOIUrl":"https://doi.org/10.2748/tmj.20220513","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139017399","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
Martingale Hardy-Lorentz spaces -- a unified approach 马汀厄尔哈代-洛伦兹空间 -- 一种统一的方法
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2023-12-01 DOI: 10.2748/tmj.20220602
Wenfei Fan, Yong Jiao, Lian Wu
{"title":"Martingale Hardy-Lorentz spaces -- a unified approach","authors":"Wenfei Fan, Yong Jiao, Lian Wu","doi":"10.2748/tmj.20220602","DOIUrl":"https://doi.org/10.2748/tmj.20220602","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139021097","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
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":null,"pages":null},"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":null,"pages":null},"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
An anisotropic inverse mean curvature flow for spacelike graphic hypersurfaces with boundary in Lorentz-Minkowski space ${mathbb R}^{n+1}_1$ Lorentz-Minkowski空间${mathbb R}^{n+1}_1$中具有边界的类空间图形超曲面的各向异性逆平均曲率流
4区 数学
Tohoku Mathematical Journal Pub Date : 2023-09-01 DOI: 10.2748/tmj.20220203
Ya Gao, Jing Mao
{"title":"An anisotropic inverse mean curvature flow for spacelike graphic hypersurfaces with boundary in Lorentz-Minkowski space ${mathbb R}^{n+1}_1$","authors":"Ya Gao, Jing Mao","doi":"10.2748/tmj.20220203","DOIUrl":"https://doi.org/10.2748/tmj.20220203","url":null,"abstract":"In this paper, we consider the evolution of spacelike graphic hypersurfaces defined over a convex piece of hyperbolic plane $mathscr{H}^{n}(1)$, of center at origin and radius 1, in the $(n+1)$-dimensional Lorentz-Minkowski space $mathbb{R}^{n+1}_{1}$ along an anisotropic inverse mean curvature flow with the vanishing Neumann boundary condition, and prove that this flow exists for all the time. Moreover, we can show that, after suitable rescaling, the evolving spacelike graphic hypersurfaces converge smoothly to a piece of hyperbolic plane of center at origin and prescribed radius, which actually corresponds to a constant function defined over the piece of $mathscr{H}^{n}(1)$, as time tends to infinity. Clearly, this conclusion is an extension of our previous work [2].","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134962224","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: 8
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":null,"pages":null},"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
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