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Generating functions for sums of polynomial multiple zeta values 生成多项式和多个zeta值的函数
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-11-09 DOI: 10.2748/tmj.20210409
M. Hirose, H. Murahara, Shingo Saito
{"title":"Generating functions for sums of polynomial multiple zeta values","authors":"M. Hirose, H. Murahara, Shingo Saito","doi":"10.2748/tmj.20210409","DOIUrl":"https://doi.org/10.2748/tmj.20210409","url":null,"abstract":"The sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values bear a striking resemblance. We explain the resemblance in a rather straightforward manner using an identity that involves the Schur multiple zeta values. We also obtain the sum formula for polynomial multiple zeta(-star) values in terms of generating functions, simultaneously generalizing the sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44102261","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
Transfers on Milnor-Witt K-theory Milnor-Witt k -理论的转移
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-11-02 DOI: 10.2748/tmj.20211005
Niels Feld
{"title":"Transfers on Milnor-Witt K-theory","authors":"Niels Feld","doi":"10.2748/tmj.20211005","DOIUrl":"https://doi.org/10.2748/tmj.20211005","url":null,"abstract":"We give a new proof of the fact that Milnor-Witt K-theory has geometric transfers. The proof yields to a simplification of Morel's conjecture about transfers on contracted homotopy sheaves.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48256048","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
Erratum: Stability of stationary solution for the Lugiato-Lefever equation 勘误表：Lugiato-Lehfever方程稳定解的稳定性
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-09-01 DOI: 10.2748/tmj/1601085626
T. Miyaji, I. Ohnishi, Y. Tsutsumi
{"title":"Erratum: Stability of stationary solution for the Lugiato-Lefever equation","authors":"T. Miyaji, I. Ohnishi, Y. Tsutsumi","doi":"10.2748/tmj/1601085626","DOIUrl":"https://doi.org/10.2748/tmj/1601085626","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"487-492"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41701080","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
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":"72 1","pages":"335-348"},"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
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
{"title":"Functional equations of zeta functions associated with homogeneous cones","authors":"Hideto Nakashima","doi":"10.2748/tmj/1601085620","DOIUrl":"https://doi.org/10.2748/tmj/1601085620","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"349-378"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41909543","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: 5
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":" ","pages":""},"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":"72 1","pages":"299-315"},"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":" ","pages":""},"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":"72 1","pages":"211-233"},"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":" ","pages":""},"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
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