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Functional equations of zeta functions associated with homogeneous cones 齐次锥的ζ函数的函数方程
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-09-01 DOI: 10.2748/tmj/1601085620
Hideto Nakashima
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引用次数: 5
Boundedness of maximal operators on Herz spaces with radial variable exponent 径向变指数Herz空间上极大算子的有界性
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-09-01 DOI: 10.2748/tmj/1601085619
Y. Mizuta, T. Shimomura
{"title":"Boundedness of maximal operators on Herz spaces with radial variable exponent","authors":"Y. Mizuta, T. Shimomura","doi":"10.2748/tmj/1601085619","DOIUrl":"https://doi.org/10.2748/tmj/1601085619","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43853402","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
Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential 具有势的非线性Schrödinger方程的最小质量爆破解
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-07-31 DOI: 10.2748/tmj.20211216
Naoki Matsui
{"title":"Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential","authors":"Naoki Matsui","doi":"10.2748/tmj.20211216","DOIUrl":"https://doi.org/10.2748/tmj.20211216","url":null,"abstract":"We consider the following nonlinear Schr\"{o}dinger equation with a potential in $mathbb{R}^N$. We studied the existence of an initial value with critical mass for which the corresponding solution blows up. A previous study demonstrated the existence of an initial value for which the corresponding solution blows up when $N=1$ or $2$. In this work, without any restrictions on the number of dimensions $N$, we construct a critical-mass initial value for which the corresponding solution blows up in finite time and derive its blow-up rate.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46591976","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 a construction of harmonic function for recurrent relativistic $alpha$-stable processes 关于循环相对论稳定过程调和函数的构造
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136823
K. Tsuchida
{"title":"On a construction of harmonic function for recurrent relativistic $alpha$-stable processes","authors":"K. Tsuchida","doi":"10.2748/tmj/1593136823","DOIUrl":"https://doi.org/10.2748/tmj/1593136823","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42992239","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
Invariant Einstein metrics on $mathrm{SU}(n)$ and complex Stiefel manifolds $ mathm {SU}(n)$和复Stiefel流形上的不变爱因斯坦度量
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136818
A. Arvanitoyeorgos, Y. Sakane, Marina Statha
{"title":"Invariant Einstein metrics on $mathrm{SU}(n)$ and complex Stiefel manifolds","authors":"A. Arvanitoyeorgos, Y. Sakane, Marina Statha","doi":"10.2748/tmj/1593136818","DOIUrl":"https://doi.org/10.2748/tmj/1593136818","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43730007","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
Molecular characterization of anisotropic variable Hardy-Lorentz spaces 各向异性变Hardy-Lorentz空间的分子表征
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136819
Xiong Liu, Xiaoli Qiu, Baode Li
{"title":"Molecular characterization of anisotropic variable Hardy-Lorentz spaces","authors":"Xiong Liu, Xiaoli Qiu, Baode Li","doi":"10.2748/tmj/1593136819","DOIUrl":"https://doi.org/10.2748/tmj/1593136819","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47560564","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
Calderón–Zygmund singular integrals in central Morrey–Orlicz spaces 中心Morrey–Orlicz空间中的Calderón–Zygmund奇异积分
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136820
L. Maligranda, Katsuo Matsuoka
{"title":"Calderón–Zygmund singular integrals in central Morrey–Orlicz spaces","authors":"L. Maligranda, Katsuo Matsuoka","doi":"10.2748/tmj/1593136820","DOIUrl":"https://doi.org/10.2748/tmj/1593136820","url":null,"abstract":"We prove the strong-type and weak-type estimates for the Calderon–Zygmund singular integrals on central Morrey–Orlicz and weak central Morrey–Orlicz spaces defined in our earlier paper [26]. Next ...","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45511428","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
A formula for the heat kernel coefficients on Riemannian manifolds 黎曼流形上热核系数的一个公式
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136821
M. Nagase
{"title":"A formula for the heat kernel coefficients on Riemannian manifolds","authors":"M. Nagase","doi":"10.2748/tmj/1593136821","DOIUrl":"https://doi.org/10.2748/tmj/1593136821","url":null,"abstract":"Based on the idea of adiabatic expansion theory, we will present a new formula for the asymptotic expansion coefficients of every derivative of the heat kernel on a compact Riemannian manifold. It will be very useful for having systematic understanding of the coefficients, and, furthermore, by using only a basic knowledge of calculus added to the formula, one can describe them explicitly up to an arbitrarily high order.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43156169","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
Quadratic relations between periods of connections 连接周期之间的二次关系
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-05-23 DOI: 10.2748/tmj.20211209
J. Fres'an, C. Sabbah, Jeng-Daw Yu
{"title":"Quadratic relations between periods of connections","authors":"J. Fres'an, C. Sabbah, Jeng-Daw Yu","doi":"10.2748/tmj.20211209","DOIUrl":"https://doi.org/10.2748/tmj.20211209","url":null,"abstract":"We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption of \"goodness\". In dimension one, for which goodness is always satisfied, we provide methods to compute the various pairings involved. In an appendix, we give details on the classical results needed for the proofs.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42432945","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: 13
Uniform K-stability and Conformally Kähler, Einstein-Maxwell geometry on toric manifolds 复曲面流形上的一致K稳定性和保形Kähler，Einstein-Maxwell几何
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-04-27 DOI: 10.2748/tmj.20201006
Yaxiong Liu
{"title":"Uniform K-stability and Conformally Kähler, Einstein-Maxwell geometry on toric manifolds","authors":"Yaxiong Liu","doi":"10.2748/tmj.20201006","DOIUrl":"https://doi.org/10.2748/tmj.20201006","url":null,"abstract":"Conformally Kahler, Einstein-Maxwell metrics and $f$-extremal metrics are generalization of canonical metrics in Kahler geometry. We introduce uniform K-stability for toric Kahler manifolds, and show that uniform K-stability is necessary condition for the existence of $f$-extremal metrics on toric manifolds. Furthermore, we show that uniform K-stability is equivalent to properness of relative K-energy.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43536252","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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