Bulletin of the Korean Mathematical Society最新文献

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Invariant mean value property and $mathcal M$-harmonicity on the half-space 半空间上的不变均值性质和数学M -调和性
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-05-31 DOI: 10.4134/BKMS.B200023
B. Choe, Kyesook Nam
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引用次数: 0
The convex hull of three boundary points in complex hyperbolic space 复双曲空间中三个边界点的凸壳
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-05-31 DOI: 10.4134/BKMS.B200492
Young-Jin Kim
{"title":"The convex hull of three boundary points in complex hyperbolic space","authors":"Young-Jin Kim","doi":"10.4134/BKMS.B200492","DOIUrl":"https://doi.org/10.4134/BKMS.B200492","url":null,"abstract":"The convex hull of a generic triple of boundary points has non-zero finite volume in complex hyperbolic 2-space.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"721-727"},"PeriodicalIF":0.5,"publicationDate":"2021-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43854947","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
On ampliation quasiaffine transforms of operators 算子的放大拟仿射变换
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-05-01 DOI: 10.4134/BKMS.B200473
E. Ko
{"title":"On ampliation quasiaffine transforms of operators","authors":"E. Ko","doi":"10.4134/BKMS.B200473","DOIUrl":"https://doi.org/10.4134/BKMS.B200473","url":null,"abstract":"","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"699-710"},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42642197","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
On nonlinear elliptic equations with singular lower order term 具有奇异低阶项的非线性椭圆型方程
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-03-01 DOI: 10.4134/BKMS.B200311
A. Marah, H. Redwane
{"title":"On nonlinear elliptic equations with singular lower order term","authors":"A. Marah, H. Redwane","doi":"10.4134/BKMS.B200311","DOIUrl":"https://doi.org/10.4134/BKMS.B200311","url":null,"abstract":"We prove existence and regularity results of solutions for a class of nonlinear singular elliptic problems like − div ( (a(x) + |u|)∇u ) = f |u|γ in Ω, u = 0 on ∂Ω, where Ω is a bounded open subset of RN(N ≥ 2), a(x) is a measurable nonnegative function, q, γ > 0 and the source f is a nonnegative (not identicaly zero) function belonging to Lm(Ω) for some m ≥ 1. Our results will depend on the summability of f and on the values of q, γ > 0.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"385-401"},"PeriodicalIF":0.5,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43215047","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
Zero mean curvature surfaces in isotropic three-space 各向同性三维空间中的零平均曲率曲面
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B190783
J. Seo, Seong-Deog Yang
{"title":"Zero mean curvature surfaces in isotropic three-space","authors":"J. Seo, Seong-Deog Yang","doi":"10.4134/BKMS.B190783","DOIUrl":"https://doi.org/10.4134/BKMS.B190783","url":null,"abstract":"We examine the theory of surfaces in the isotropic threespace, with emphases on the surfaces related to the zero mean curvature.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"1-20"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70362880","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
CONTINUOUS ORBIT EQUIVALENCES ON SELF-SIMILAR GROUPS 自相似群上的连续轨道等价
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200055
Inhyeop Yi
{"title":"CONTINUOUS ORBIT EQUIVALENCES ON SELF-SIMILAR GROUPS","authors":"Inhyeop Yi","doi":"10.4134/BKMS.B200055","DOIUrl":"https://doi.org/10.4134/BKMS.B200055","url":null,"abstract":"For pseudo-free and recurrent self-similar groups, we show that continuous orbit equivalence of inverse semigroup partial actions implies continuous orbit equivalence of group actions. Conversely, if group actions are continuous orbit equivalent, and the induced homeomorphism commutes with the shift maps on their groupoids, we obtain continuous orbit equivalence of inverse semigroup partial actions.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"28 8 1","pages":"133-146"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363222","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
DECOMPOSITION OF THE KRONECKER SUMS OF MATRICES INTO A DIRECT SUM OF IRREDUCIBLE MATRICES 矩阵的克罗内克和分解为不可约矩阵的直接和
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200437
Caixing Gu, Jaehui Park, Chase Peak, J. Rowley
{"title":"DECOMPOSITION OF THE KRONECKER SUMS OF MATRICES INTO A DIRECT SUM OF IRREDUCIBLE MATRICES","authors":"Caixing Gu, Jaehui Park, Chase Peak, J. Rowley","doi":"10.4134/BKMS.B200437","DOIUrl":"https://doi.org/10.4134/BKMS.B200437","url":null,"abstract":"In this paper, we decompose (under unitary similarity) the Kronecker sum A A (= A⊗ I + I ⊗A) into a direct sum of irreducible matrices, when A is a 3×3 matrix. As a consequence we identify K(A A) as the direct sum of several full matrix algebras as predicted by Artin– Wedderburn theorem, where K(T ) is the unital algebra generated by T and T ∗.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"637-657"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363336","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
FERMAT'S EQUATION OVER 2-BY-2 MATRICES 费马方程除以2 × 2矩阵
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200403
M. Chien, Jie Meng
{"title":"FERMAT'S EQUATION OVER 2-BY-2 MATRICES","authors":"M. Chien, Jie Meng","doi":"10.4134/BKMS.B200403","DOIUrl":"https://doi.org/10.4134/BKMS.B200403","url":null,"abstract":". We study the solvability of the Fermat’s matrix equation in some classes of 2-by-2 matrices. We prove the Fermat’s matrix equation has infinitely many solutions in a set of 2-by-2 positive semidefinite integral matrices, and has no nontrivial solutions in some classes including 2-by-2 symmetric rational matrices and stochastic quadratic field matrices","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"609-616"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363322","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
INTEGRAL OPERATORS FROM MORREY TYPE SPACES TO WEIGHTED BMOA SPACES 从morrey型空间到加权bmoa空间的积分算子
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200464
R. Qian, Xiangling Zhu
{"title":"INTEGRAL OPERATORS FROM MORREY TYPE SPACES TO WEIGHTED BMOA SPACES","authors":"R. Qian, Xiangling Zhu","doi":"10.4134/BKMS.B200464","DOIUrl":"https://doi.org/10.4134/BKMS.B200464","url":null,"abstract":"","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"14 1","pages":"815-828"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363757","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
BOOLEAN MULTIPLICATIVE CONVOLUTION AND CAUCHY-STIELTJES KERNEL FAMILIES 布尔乘法卷积与柯西-斯蒂尔杰核族
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200380
Raouf Fakhfakh
{"title":"BOOLEAN MULTIPLICATIVE CONVOLUTION AND CAUCHY-STIELTJES KERNEL FAMILIES","authors":"Raouf Fakhfakh","doi":"10.4134/BKMS.B200380","DOIUrl":"https://doi.org/10.4134/BKMS.B200380","url":null,"abstract":"Denote by M+ the set of probability measures supported on R+. Suppose Vν is the variance function of the Cauchy-Stieltjes Kernel (CSK) family K−(ν) generated by a non degenerate probability measure ν ∈ M+. We determine the formula for variance function under boolean multiplicative convolution power. This formula is used to identify the relation between variance functions under the map ν 7→ Mt(ν) = ( ν (t+1) )∪× 1 t+1 from M+ onto itself.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"515-526"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363206","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
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