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Lipschitz characterization for exponentially weighted Bergman spaces of the unit ball 单位球指数加权Bergman空间的Lipschitz表征
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-07-01 DOI: 10.3792/PJAA.95.70
Hong-Rae Cho, Soohyun Park
{"title":"Lipschitz characterization for exponentially weighted Bergman spaces of the unit ball","authors":"Hong-Rae Cho, Soohyun Park","doi":"10.3792/PJAA.95.70","DOIUrl":"https://doi.org/10.3792/PJAA.95.70","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88308857","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
Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space 洛伦兹-闵可夫斯基三维空间中包含整条零线的类空间极大曲面
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-07-01 DOI: 10.3792/pjaa.95.97
S. Akamine, M. Umehara, Kotaro Yamada
{"title":"Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space","authors":"S. Akamine, M. Umehara, Kotaro Yamada","doi":"10.3792/pjaa.95.97","DOIUrl":"https://doi.org/10.3792/pjaa.95.97","url":null,"abstract":"Consider a surface $S$ immersed in the Lorentz-Minkowski 3-space $boldsymbol R^3_1$. A complete light-like line in $boldsymbol R^3_1$ is called an entire null line on the surface $S$ in $boldsymbol R^3_1$ if it lies on $S$ and consists of only null points with respect to the induced metric. In this paper, we show the existence of embedded space-like maximal graphs containing entire null lines. If such a graph is defined on a convex domain in $boldsymbol R^2$, then it must be a light-like plane. Our example is critical in the sense that it is defined on a certain non-convex domain.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72604558","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
A note on flatness of some fiber type contractions 关于某些纤维型收缩的平整度的注释
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-06-26 DOI: 10.3792/pjaa.95.103
E. Romano
{"title":"A note on flatness of some fiber type contractions","authors":"E. Romano","doi":"10.3792/pjaa.95.103","DOIUrl":"https://doi.org/10.3792/pjaa.95.103","url":null,"abstract":"We discuss the flatness property of some fiber type contractions of complex smooth projective varieties of arbitrary dimensions. We relate the flatness of some morphisms having one-dimensional fibers with their conic bundles structures, also in the general case in which some mild singularities of the varieties are admitted.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78288017","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
Erdősian functions and an identity of Gauss Erdősian函数和高斯恒等式
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-06-01 DOI: 10.3792/PJAA.95.58
T. Chatterjee, Suraj Singh Khurana
{"title":"Erdősian functions and an identity of Gauss","authors":"T. Chatterjee, Suraj Singh Khurana","doi":"10.3792/PJAA.95.58","DOIUrl":"https://doi.org/10.3792/PJAA.95.58","url":null,"abstract":"A famous identity of Gauss gives a closed form expression for the values of the digamma function $psi(x)$ at rational arguments $x$ in terms of elementary functions. Linear combinations of such values are intimately connected with a conjecture of Erdős which asserts non vanishing of an infinite series associated to a certain class of periodic arithmetic functions. In this note we give a different proof for the identity of Gauss using an orthogonality like relation satisfied by these functions. As a by product we are able to give a new interpretation for $n$th Catalan number in terms of these functions.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77855582","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
Absolute multiple sine functions 绝对多重正弦函数
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-05-01 DOI: 10.3792/PJAA.95.41
N. Kurokawa, Hidekazu Tanaka
{"title":"Absolute multiple sine functions","authors":"N. Kurokawa, Hidekazu Tanaka","doi":"10.3792/PJAA.95.41","DOIUrl":"https://doi.org/10.3792/PJAA.95.41","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81761642","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
Termination of extremal rays of divisorial type for the power of étale endomorphisms 分型极值射线的终止及其对<s:1>自同态矩阵的影响
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-05-01 DOI: 10.3792/PJAA.95.47
Yoshio Fujimoto
{"title":"Termination of extremal rays of divisorial type for the power of étale endomorphisms","authors":"Yoshio Fujimoto","doi":"10.3792/PJAA.95.47","DOIUrl":"https://doi.org/10.3792/PJAA.95.47","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89234992","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
Euler and Laplace integral representations of GKZ hypergeometric functions II GKZ超几何函数的欧拉和拉普拉斯积分表示II
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-04-01 DOI: 10.3792/pjaa.96.015
Saiei-Jaeyeong Matsubara-Heo
{"title":"Euler and Laplace integral representations of GKZ hypergeometric functions II","authors":"Saiei-Jaeyeong Matsubara-Heo","doi":"10.3792/pjaa.96.015","DOIUrl":"https://doi.org/10.3792/pjaa.96.015","url":null,"abstract":"We introduce an interpolation between Euler integral and Laplace integral: Euler-Laplace integral. We show, when parameters $d$ of the integrand is non-resonant, the $mathcal{D}$-module corresponding to Euler-Laplace integral is naturally isomorphic to GKZ hypergeometric system $M_A(d)$ where $A$ is a generalization of Cayley configuration. As a topological counterpart of this isomorphism, we establish an isomorphism between certain rapid decay homology group and holomorphic solutions of $M_A(d)$. Based on these foundations, we give a combinatorial method of constructing a basis of rapid decay cycles by means of regular triangulations. The remarkable feature of this construction is that this basis of cycles is explicitly related to $Gamma$-series solutions. In the last part, we concentrate on Euler integral representations. We determine the homology intersection matrix with respect to our basis of cycles when the regular triangulation is unimodular. As an application, we obtain closed formulae of the quadratic relations of Aomoto-Gelfand hypergeometric functions in terms of bipartite graphs.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75898076","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: 17
Hitting times to spheres of Brownian motions with drifts starting from the origin 从原点开始漂移到布朗运动球体的撞击时间
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-04-01 DOI: 10.3792/PJAA.95.37
Yuji Hamana
{"title":"Hitting times to spheres of Brownian motions with drifts starting from the origin","authors":"Yuji Hamana","doi":"10.3792/PJAA.95.37","DOIUrl":"https://doi.org/10.3792/PJAA.95.37","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87037853","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
Zariski tuples for a smooth cubic and its tangent lines 光滑三次面及其切线的扎里斯基元组
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-03-11 DOI: 10.3792/pjaa.96.004
S. Bannai, H. Tokunaga
{"title":"Zariski tuples for a smooth cubic and its tangent lines","authors":"S. Bannai, H. Tokunaga","doi":"10.3792/pjaa.96.004","DOIUrl":"https://doi.org/10.3792/pjaa.96.004","url":null,"abstract":"In this paper, we study the geometry of two-torsion points of elliptic curves in order to distinguish the embedded topology of reducible plane curves consisting of a smooth cubic and its tangent lines. As a result, we obtain a new family of Zariski N-ples consisting of such curves.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81309672","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: 7
Examples of isometric immersions of $mathbf{R}^{2}$ into $mathbf{R}^{4}$ with vanishing normal curvature 具有消失法曲率的$mathbf{R}^{2}$等距浸入$mathbf{R}^{4}$的例子
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-03-01 DOI: 10.3792/PJAA.95.21
H. Mori
{"title":"Examples of isometric immersions of $mathbf{R}^{2}$ into $mathbf{R}^{4}$ with vanishing normal curvature","authors":"H. Mori","doi":"10.3792/PJAA.95.21","DOIUrl":"https://doi.org/10.3792/PJAA.95.21","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83480904","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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