发布求助
文献互助 智能选刊 最新文献

Journal of the Korean Mathematical Society最新文献

筛选
英文 中文
EXPANDING MEASURES FOR HOMEOMORPHISMS WITH EVENTUALLY SHADOWING PROPERTY 具有最终阴影性质的同胚的扩展测度
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-07-01 DOI: 10.4134/JKMS.J190453
M. Dong, Keonhee Lee, Ngocthach Nguyen
{"title":"EXPANDING MEASURES FOR HOMEOMORPHISMS WITH EVENTUALLY SHADOWING PROPERTY","authors":"M. Dong, Keonhee Lee, Ngocthach Nguyen","doi":"10.4134/JKMS.J190453","DOIUrl":"https://doi.org/10.4134/JKMS.J190453","url":null,"abstract":"In this paper we present a measurable version of the Smale’s spectral decomposition theorem for homeomorphisms on compact metric spaces. More precisely, we prove that if a homeomorphism f on a compact metric space X is invariantly measure expanding on its chain recurrent set CR(f) and has the eventually shadowing property on CR(f), then f has the spectral decomposition. Moreover we show that f is invariantly measure expanding on X if and only if its restriction on CR(f) is invariantly measure expanding. Using this, we characterize the measure expanding diffeomorphisms on compact smooth manifolds via the notion of Ω-stability.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45667563","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
Computation of Hankel matrices in terms of classical kernel functions in potential theory 势理论中经典核函数汉克尔矩阵的计算
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-07-01 DOI: 10.4134/JKMS.J190487
Young-Bok Chung
{"title":"Computation of Hankel matrices in terms of classical kernel functions in potential theory","authors":"Young-Bok Chung","doi":"10.4134/JKMS.J190487","DOIUrl":"https://doi.org/10.4134/JKMS.J190487","url":null,"abstract":"In this paper, we compute the Hankel matrix representation of the Hankel operator on the Hardy space of a general bounded domain with respect to special orthonormal bases for the Hardy space and its orthogonal complement. Moreover we obtain the compact form of the Hankel matrix for the unit disc case with respect to these bases. One can see that the Hankel matrix generated by this computation turns out to be a generalization of the case of the unit disc from the single simply connected domain to multiply connected domains with much diversities of bases.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44973840","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
EXTENSION OF BLOCK MATRIX REPRESENTATION OF THE GEOMETRIC MEAN 几何均值分块矩阵表示的扩展
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-05-01 DOI: 10.4134/JKMS.J190272
Hana Choi, Hayoung Choi, Sejong Kim, Hosoo Lee
{"title":"EXTENSION OF BLOCK MATRIX REPRESENTATION OF THE GEOMETRIC MEAN","authors":"Hana Choi, Hayoung Choi, Sejong Kim, Hosoo Lee","doi":"10.4134/JKMS.J190272","DOIUrl":"https://doi.org/10.4134/JKMS.J190272","url":null,"abstract":"To extend the well-known extremal characterization of the geometric mean of two n x n positive definite matrices A and B, we solve the following problem:","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47319567","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
GEOMETRY OF ISOPARAMETRIC NULL HYPERSURFACES OF LORENTZIAN MANIFOLDS 洛伦兹流形的等参零超曲面几何
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190001
S. Ssekajja
{"title":"GEOMETRY OF ISOPARAMETRIC NULL HYPERSURFACES OF LORENTZIAN MANIFOLDS","authors":"S. Ssekajja","doi":"10.4134/JKMS.J190001","DOIUrl":"https://doi.org/10.4134/JKMS.J190001","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511174","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
ORBIT EQUIVALENCE ON SELF-SIMILAR GROUPS AND THEIR C*-ALGEBRAS 自相似群及其c *-代数的轨道等价性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190090
Inhyeop Yi
{"title":"ORBIT EQUIVALENCE ON SELF-SIMILAR GROUPS AND THEIR C*-ALGEBRAS","authors":"Inhyeop Yi","doi":"10.4134/JKMS.J190090","DOIUrl":"https://doi.org/10.4134/JKMS.J190090","url":null,"abstract":"Following Matsumoto’s definition of continuous orbit equivalence for one-sided subshifts of finite type, we introduce the notion of orbit equivalence to canonically associated dynamical systems, called the limit dynamical systems, of self-similar groups. We show that the limit dynamical systems of two self-similar groups are orbit equivalent if and only if their associated Deaconu groupoids are isomorphic as topological groupoids. We also show that the equivalence class of Cuntz-Pimsner groupoids and the stably isomorphism class of Cuntz-Pimsner algebras of self-similar groups are invariants for orbit equivalence of limit dynamical systems.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511479","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
On the extension dimension of module categories 论模块类别的可拓维度
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190681
Yeyang Peng, Tiwei Zhao
{"title":"On the extension dimension of module categories","authors":"Yeyang Peng, Tiwei Zhao","doi":"10.4134/JKMS.J190681","DOIUrl":"https://doi.org/10.4134/JKMS.J190681","url":null,"abstract":"Let Λ be an Artin algebra and mod Λ the category of finitely generated right Λ-modules. We prove that the radical layer length of Λ is an upper bound for the radical layer length of mod Λ. We give an upper bound for the extension dimension of mod Λ in terms of the injective dimension of a certain class of simple right Λ-modules and the radical layer length of DΛ.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70512136","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
ON A GROUP CLOSELY RELATED WITH THE AUTOMORPHIC LANGLANDS GROUP 在一个与自同构朗兰群密切相关的群上
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J180475
K. I. Ikeda
{"title":"ON A GROUP CLOSELY RELATED WITH THE AUTOMORPHIC LANGLANDS GROUP","authors":"K. I. Ikeda","doi":"10.4134/JKMS.J180475","DOIUrl":"https://doi.org/10.4134/JKMS.J180475","url":null,"abstract":". Let L K denote the hypothetical automorphic Langlands gr- oup of a number field K . In our recent study, we briefly introduced a certain unconditional non-commutative topological group W A ϕ K , called the Weil-Arthur id`ele group of K , which, assuming the existence of L K , comes equipped with a natural topological group homomorphism NR ϕ Langlands K : W A ϕ K → L K that we called the “Langlands form” of the global nonabelian norm-residue symbol of K . In this work, we present a detailed construction of W A ϕ K and NR ϕ Langlands K : W A ϕ K → L K , and discuss their basic properties.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510461","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
INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRÖDINGER EQUATION WITH SUPERQUADRATIC CONDITIONS OR COMBINED NONLINEARITIES 分数阶schrÖdinger方程的无限多解，具有超二次条件或组合非线性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190368
M. Timoumi
{"title":"INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRÖDINGER EQUATION WITH SUPERQUADRATIC CONDITIONS OR COMBINED NONLINEARITIES","authors":"M. Timoumi","doi":"10.4134/JKMS.J190368","DOIUrl":"https://doi.org/10.4134/JKMS.J190368","url":null,"abstract":". We obtain infinitely many solutions for a class of fractional Schr¨odinger equation, where the nonlinearity is superquadratic or involves a combination of superquadratic and subquadratic terms at infinity. By using some weaker conditions, our results extend and improve some ex- isting results in the literature.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511733","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: 4
Existence, multiplicity and regularity of solutions for the fractional $p$-Laplacian equation 分数阶p -拉普拉斯方程解的存在性、多重性和正则性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J190693
Yun-Ho Kim
{"title":"Existence, multiplicity and regularity of solutions for the fractional $p$-Laplacian equation","authors":"Yun-Ho Kim","doi":"10.4134/JKMS.J190693","DOIUrl":"https://doi.org/10.4134/JKMS.J190693","url":null,"abstract":"We are concerned with the following elliptic equations: { (−∆)pu = λf(x, u) in Ω, u = 0 on RNΩ, where λ are real parameters, (−∆)p is the fractional p-Laplacian operator, 0 < s < 1 < p < +∞, sp < N , and f : Ω × R → R satisfies a Carathéodory condition. By applying abstract critical point results, we establish an estimate of the positive interval of the parameters λ for which our problem admits at least one or two nontrivial weak solutions when the nonlinearity f has the subcritical growth condition. In addition, under adequate conditions, we establish an apriori estimate in L∞(Ω) of any possible weak solution by applying the bootstrap argument.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70513218","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
Characterization of tempered exponential dichotomies 缓变指数二分类的表征
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI: 10.4134/JKMS.J180880
L. Barreira, J. Rijo, C. Valls
{"title":"Characterization of tempered exponential dichotomies","authors":"L. Barreira, J. Rijo, C. Valls","doi":"10.4134/JKMS.J180880","DOIUrl":"https://doi.org/10.4134/JKMS.J180880","url":null,"abstract":". For a nonautonomous dynamics defined by a sequence of bounded linear operators on a Banach space, we give a characterization of the existence of an exponential dichotomy with respect to a sequence of norms in terms of the invertibility of a certain linear operator be- tween general admissible spaces. This notion of an exponential dichotomy contains as very special cases the notions of uniform, nonuniform and tempered exponential dichotomies. As applications, we detail the conse-quences of our results for the class of tempered exponential dichotomies, which are ubiquitous in the context of ergodic theory, and we show that the notion of an exponential dichotomy under sufficiently small parame- terized perturbations persists and that their stable and unstable spaces are as regular as the perturbation.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70511112","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信