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Mathematical Journal of Ibaraki University最新文献

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Compact leaves of the foliation defined by the kernel of a T2-invariant presymplectic form 由t2不变前辛形式的核所定义的叶的紧致叶
Mathematical Journal of Ibaraki University Pub Date : 2022-08-28 DOI: 10.5036/mjiu.54.1
A. Hagiwara
{"title":"Compact leaves of the foliation defined by the kernel of a T2-invariant presymplectic form","authors":"A. Hagiwara","doi":"10.5036/mjiu.54.1","DOIUrl":"https://doi.org/10.5036/mjiu.54.1","url":null,"abstract":"We investigate the foliation defined by the kernel of an exact presymplectic form dα of rank 2 n on a (2 n + r )-dimensional closed manifold M . For r = 2, we prove that the foliation has at least two leaves which are homeomorphic to a 2-dimensional torus, if M admits a locally free T 2 -action which preserves dα and satisfies that the function α ( Z 2 ) is constant, where Z 1 , Z 2 are the infinitesimal generators of the T 2 -action. We also give its generalization for r ≥ 1.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81948842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Biographical Sketch of Professor Humio Ichimura 市村修夫教授简介
Mathematical Journal of Ibaraki University Pub Date : 2022-01-01 DOI: 10.5036/mjiu.54.i
{"title":"Biographical Sketch of Professor Humio Ichimura","authors":"","doi":"10.5036/mjiu.54.i","DOIUrl":"https://doi.org/10.5036/mjiu.54.i","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"69 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74992917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some geometric properties of regular polyhedral complexes 正多面体配合物的一些几何性质
Mathematical Journal of Ibaraki University Pub Date : 2022-01-01 DOI: 10.5036/mjiu.54.11
Fumiko Ohtsuka
{"title":"Some geometric properties of regular polyhedral complexes","authors":"Fumiko Ohtsuka","doi":"10.5036/mjiu.54.11","DOIUrl":"https://doi.org/10.5036/mjiu.54.11","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86026842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Biographical Sketch of Professor Toshio Horiuchi 堀内俊夫教授简介
Mathematical Journal of Ibaraki University Pub Date : 2021-01-01 DOI: 10.5036/mjiu.53.i
{"title":"Biographical Sketch of Professor Toshio Horiuchi","authors":"","doi":"10.5036/mjiu.53.i","DOIUrl":"https://doi.org/10.5036/mjiu.53.i","url":null,"abstract":"","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89316987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Generalized fractional integral operators on Campanato spaces and their bi-preduals Campanato空间上的广义分数型积分算子及其双predual
Mathematical Journal of Ibaraki University Pub Date : 2021-01-01 DOI: 10.5036/mjiu.53.17
S. Yamaguchi, E. Nakai
{"title":"Generalized fractional integral operators on Campanato spaces and their bi-preduals","authors":"S. Yamaguchi, E. Nakai","doi":"10.5036/mjiu.53.17","DOIUrl":"https://doi.org/10.5036/mjiu.53.17","url":null,"abstract":"In this paper we prove the boundedness of the generalized fractional integral operator I ρ on generalized Campanato spaces with variable growth condition, which is a generalization and improvement of previous results, and then, we establish the boundedness of I ρ on their bi-preduals. We also prove the boundedness of I ρ on their preduals by the duality.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84217849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Indivisibility of the class number of a real abelian field of prime conductor 素数导体实阿贝尔场类数的不可分性
Mathematical Journal of Ibaraki University Pub Date : 2021-01-01 DOI: 10.5036/MJIU.53.1
S. Fujima, H. Ichimura
{"title":"Indivisibility of the class number of a real abelian field of prime conductor","authors":"S. Fujima, H. Ichimura","doi":"10.5036/MJIU.53.1","DOIUrl":"https://doi.org/10.5036/MJIU.53.1","url":null,"abstract":"For a fixed integer n ≥ 1, let p = 2 nℓ + 1 be a prime number with an odd prime number ℓ and let F = F p,ℓ be the real abelian field of conductor p and degree ℓ . When n ≤ 21, we show that a prime number r does not divide the class number h F of F whenever r is a primitive root modulo ℓ with the help of computer. This generalizes a result of Jakubec and Mets¨ankyl¨a for the case n = 1.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85340747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Rational function and time transformation of caloric morphism on semi-euclidean spaces 半欧几里德空间上热态射的有理函数与时变换
Mathematical Journal of Ibaraki University Pub Date : 2021-01-01 DOI: 10.5036/mjiu.53.35
Katsunori Shimomura
{"title":"Rational function and time transformation of caloric morphism on semi-euclidean spaces","authors":"Katsunori Shimomura","doi":"10.5036/mjiu.53.35","DOIUrl":"https://doi.org/10.5036/mjiu.53.35","url":null,"abstract":"In this paper, we prove that any non-constant real rational function appears as a time transformation of a caloric morphism, mapping which preserves caloric functions, between semi-eucledean spaces.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77478209","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Criterion toward understanding non-constant solutions to p-Laplace Neumann boundary value problem 理解p-拉普拉斯诺依曼边值问题非常解的准则
Mathematical Journal of Ibaraki University Pub Date : 2020-01-01 DOI: 10.5036/mjiu.52.1
Kanako Suzuki
{"title":"Criterion toward understanding non-constant solutions to p-Laplace Neumann boundary value problem","authors":"Kanako Suzuki","doi":"10.5036/mjiu.52.1","DOIUrl":"https://doi.org/10.5036/mjiu.52.1","url":null,"abstract":"We consider a p-Laplace equation ∆pV + h(V ) = 0, with an arbitrary C-nonlinearity h, in a bounded domain and supplemented with the Neumann boundary condition. We prove a necessary condition for zeros of h = h(V ) to be touched by non-constant solutions to this problem.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"20 1","pages":"1-13"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89538295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weighted Hardy's inequalities and the variational problem with compact perturbations 加权Hardy不等式与紧摄动的变分问题
Mathematical Journal of Ibaraki University Pub Date : 2020-01-01 DOI: 10.5036/mjiu.52.15
Hiroshi Ando, T. Horiuchi
{"title":"Weighted Hardy's inequalities and the variational problem with compact perturbations","authors":"Hiroshi Ando, T. Horiuchi","doi":"10.5036/mjiu.52.15","DOIUrl":"https://doi.org/10.5036/mjiu.52.15","url":null,"abstract":"Let Ω be a bounded domain of R N ( N (cid:21) 1) whose boundary @ Ω is a C 2 compact manifolds. In the present paper we shall study a variational problem relating the weighted Hardy inequalities established in [4]. As weights we adopt powers of the distance function (cid:14) ( x ) to the boundary @ Ω. study a","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74064502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Note on star operations on monoids 关于单群上的星型运算的说明
Mathematical Journal of Ibaraki University Pub Date : 2019-01-01 DOI: 10.5036/MJIU.51.13
Ryuki Matsuda
{"title":"Note on star operations on monoids","authors":"Ryuki Matsuda","doi":"10.5036/MJIU.51.13","DOIUrl":"https://doi.org/10.5036/MJIU.51.13","url":null,"abstract":"A subsemigroup of a torsion-free abelian group is called grading monoid. This is a note on star operations in ideal theory of grading monoids. Explicitly, we study stability, ascents-descents, and Kronecker function rings of semistar operations on grading monoids.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74476319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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