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Tokyo Journal of Mathematics最新文献

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Construction of Solutions of the Classical Field Equation of a Massless Klein-Gordon Field Interacting with a Static Source 与静态源相互作用的无质量Klein-Gordon场经典场方程解的构造
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.3836/TJM/1502179328
Toshimitsu Takaesu
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引用次数: 0
Reverses of Operator Féjer's Inequalities 算子fsamjer不等式的反转
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.3836/TJM/1502179330
S. Dragomir
{"title":"Reverses of Operator Féjer's Inequalities","authors":"S. Dragomir","doi":"10.3836/TJM/1502179330","DOIUrl":"https://doi.org/10.3836/TJM/1502179330","url":null,"abstract":"Let $f$ be an operator convex function on $I$ and $A,$ $Bin mathcal{SA}_{I}left( Hright) ,$ the convex set of selfadjoint operators with spectra in $I.$ If $Aneq B$ and $f,$ as an operator function, is G^{a}teaux differentiable on begin{equation*} [ A,B] :=left{ ( 1-t) A+tB mid tin [ 0,1] right} ,, end{equation*} while $p:[ 0,1] rightarrow lbrack 0,infty )$ is Lebesgue integrable and symmetric, namely $pleft( 1-tright) $ $=pleft( tright) $ for all $tin [ 0,1] ,$ then begin{align*} 0& leq int_{0}^{1}pleft( tright) fleft( left( 1-tright) A+tBright) dt-left( int_{0}^{1}pleft( tright) dtright) fleft( frac{A+B}{2}right) & leq frac{1}{2}left( int_{0}^{1}leftvert t-frac{1}{2}rightvert pleft( tright) dtright) left[ nabla f_{B}left( B-Aright) -nabla f_{A}left( B-Aright) right] end{align*} and begin{align*} 0& leq left( int_{0}^{1}pleft( tright) dtright) frac{fleft( Aright) +fleft( Bright) }{2}-int_{0}^{1}pleft( tright) fleft( left( 1-tright) A+tBright) dt & leq frac{1}{2}int_{0}^{1}left( frac{1}{2}-leftvert t-frac{1}{2} rightvert right) pleft( tright) dtleft[ nabla f_{B}left( B-Aright) -nabla f_{A}left( B-Aright) right] ,. end{align*} Two particular examples of interest are also given.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"-1 1","pages":"1-16"},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70165783","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
On the Class Group of an Imaginary Cyclic Field of Conductor $8p$ and $2$-power Degree 导体$8p$和$2$幂次虚循环场的类群
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.3836/TJM/1502179326
H. Ichimura, Hiroki Sumida-Takahashi
{"title":"On the Class Group of an Imaginary Cyclic Field of Conductor $8p$ and $2$-power Degree","authors":"H. Ichimura, Hiroki Sumida-Takahashi","doi":"10.3836/TJM/1502179326","DOIUrl":"https://doi.org/10.3836/TJM/1502179326","url":null,"abstract":"Let $p=2^{e+1}q+1$ be an odd prime number with $2 nmid q$. Let $K$ be the imaginary cyclic field of conductor $p$ and degree $2^{e+1}$. We denote by $mathcal{F}$ the imaginary quadratic subextension of the imaginary $(2,,2)$-extension $K(sqrt{2})/K^+$ with $mathcal{F} neq K$. We determine the Galois module structure of the $2$-part of the class group of $mathcal{F}$.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"32 1","pages":"1-17"},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70165720","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
Contracted Ideals of $p$-adic Integral Group Rings $p$adic积分群环的压缩理想
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.3836/tjm/1502179313
Joongul Lee
{"title":"Contracted Ideals of $p$-adic Integral Group Rings","authors":"Joongul Lee","doi":"10.3836/tjm/1502179313","DOIUrl":"https://doi.org/10.3836/tjm/1502179313","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"43 1","pages":"529-536"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48266253","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
Counter-examples of the Bilinear Estimates of the Holder Type Inequality in Homogeneous Besov Spaces 齐次Besov空间中Holder型不等式双线性估计的反例
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.3836/TJM/1502179307
H. Tsurumi
{"title":"Counter-examples of the Bilinear Estimates of the Holder Type Inequality in Homogeneous Besov Spaces","authors":"H. Tsurumi","doi":"10.3836/TJM/1502179307","DOIUrl":"https://doi.org/10.3836/TJM/1502179307","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"43 1","pages":"295-304"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44393076","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
Modular Degrees of Elliptic Curves and Some Quotient of $L$-values 椭圆曲线的模度与$L$-值的一些商
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.3836/tjm/1502179331
Hiroaki Narita, Kousuke Sugimoto
{"title":"Modular Degrees of Elliptic Curves and Some Quotient of $L$-values","authors":"Hiroaki Narita, Kousuke Sugimoto","doi":"10.3836/tjm/1502179331","DOIUrl":"https://doi.org/10.3836/tjm/1502179331","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"43 1","pages":"279-293"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42492933","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
Asymptotic Behaviors of Trajectories on a Hadamard Kähler Manifold Hadamard-Kähler流形上轨道的渐近性
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.3836/tjm/1502179311
Qingsong Shi, T. Adachi
{"title":"Asymptotic Behaviors of Trajectories on a Hadamard Kähler Manifold","authors":"Qingsong Shi, T. Adachi","doi":"10.3836/tjm/1502179311","DOIUrl":"https://doi.org/10.3836/tjm/1502179311","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"43 1","pages":"481-495"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44042994","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
New Estimates on Numerical Radius and Operator Norm of Hilbert Space Operators Hilbert空间算子的数值半径和算子范数的新估计
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.3836/tjm/1502179337
M. Hassani, M. Omidvar, H. Moradi
{"title":"New Estimates on Numerical Radius and Operator Norm of Hilbert Space Operators","authors":"M. Hassani, M. Omidvar, H. Moradi","doi":"10.3836/tjm/1502179337","DOIUrl":"https://doi.org/10.3836/tjm/1502179337","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42888457","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: 3
On Selmer Groups in the Supersingular Reduction Case 超奇异约简情况下的Selmer群
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.3836/tjm/1502179319
Antonio Lei, R. Sujatha
{"title":"On Selmer Groups in the Supersingular Reduction Case","authors":"Antonio Lei, R. Sujatha","doi":"10.3836/tjm/1502179319","DOIUrl":"https://doi.org/10.3836/tjm/1502179319","url":null,"abstract":"Let p be a fixed odd prime. Let E be an elliptic curve defined over a number field F with good supersingular reduction at all primes above p. We study both the classical and plus/minus Selmer groups over the cyclotomic Zp-extension of F . In particular, we give sufficient conditions for these Selmer groups to not contain a non-trivial sub-module of finite index. Furthermore, when p splits completely in F , we calculate the Euler characteristics of the plus/minus Selmer groups over the compositum of all Zp-extensions of F when they are defined.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"43 1","pages":"455-479"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42838903","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: 10
Global Stability of Traveling Waves with Non-Monotonicity for Population Dynamics Model 种群动力学模型非单调行波的全局稳定性
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.3836/tjm/1502179335
Yonghui Zhou, Zuomao Yan, S. Ji
{"title":"Global Stability of Traveling Waves with Non-Monotonicity for Population Dynamics Model","authors":"Yonghui Zhou, Zuomao Yan, S. Ji","doi":"10.3836/tjm/1502179335","DOIUrl":"https://doi.org/10.3836/tjm/1502179335","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45532658","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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