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Bulletin of the Korean Mathematical Society最新文献

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GRADED UNIFORMLY pr-IDEALS 统一理想分级
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200199
R. Abu-Dawwas, M. Refai
{"title":"GRADED UNIFORMLY pr-IDEALS","authors":"R. Abu-Dawwas, M. Refai","doi":"10.4134/BKMS.B200199","DOIUrl":"https://doi.org/10.4134/BKMS.B200199","url":null,"abstract":"Let R be a G-graded commutative ring with a nonzero unity and P be a proper graded ideal of R. Then P is said to be a graded uniformly pr-ideal of R if there exists n ∈ N such that whenever a, b ∈ h(R) with ab ∈ P and Ann(a) = {0}, then bn ∈ P . The smallest such n is called the order of P and is denoted by ordR(P ). In this article, we study the characterizations on this new class of graded ideals, and investigate the behaviour of graded uniformly pr-ideals in graded factor rings and in direct product of graded rings.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"195-204"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363240","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
CURVATURE ESTIMATES FOR GRADIENT EXPANDING RICCI SOLITONS 梯度膨胀里奇孤子的曲率估计
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B190805
Liangdi Zhang
{"title":"CURVATURE ESTIMATES FOR GRADIENT EXPANDING RICCI SOLITONS","authors":"Liangdi Zhang","doi":"10.4134/BKMS.B190805","DOIUrl":"https://doi.org/10.4134/BKMS.B190805","url":null,"abstract":"","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"537-557"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70362964","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
FOURIER COEFFICIENTS OF WEIGHT 2 MODULAR FORMS OF PRIME LEVEL 权值的傅里叶系数2个素阶的模形式
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200376
Yan-Bin Li
{"title":"FOURIER COEFFICIENTS OF WEIGHT 2 MODULAR FORMS OF PRIME LEVEL","authors":"Yan-Bin Li","doi":"10.4134/BKMS.B200376","DOIUrl":"https://doi.org/10.4134/BKMS.B200376","url":null,"abstract":"We use a kind of modified Hurwitz class numbers to express the number of representing a positive integer by some ternary quadratic forms such as the sum of three squares, and the Fourier coefficients of weight 2 modular forms of prime level with trivial character.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"593-602"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363013","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
BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONS 伯格曼空间、布洛赫空间与p调和函数的积分方法
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200367
Xi Fu, J. Qiao
{"title":"BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONS","authors":"Xi Fu, J. Qiao","doi":"10.4134/BKMS.B200367","DOIUrl":"https://doi.org/10.4134/BKMS.B200367","url":null,"abstract":"In this paper, we investigate the properties of Bergman spaces, Bloch spaces and integral means of p-harmonic functions on the unit ball in Rn. Firstly, we offer some Lipschitz-type and double integral characterizations for Bergman space Aγ . Secondly, we characterize Bloch space Bα ω in terms of weighted Lipschitz conditions and BMO functions. Finally, a Hardy-Littlewood type theorem for integral means of p-harmonic functions is established.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"481-495"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363367","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
ADMISSIBLE INERTIAL MANIFOLDS FOR INFINITE DELAY EVOLUTION EQUATIONS 无限延迟演化方程的可容许惯性流形
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200462
Le Anh Minh
{"title":"ADMISSIBLE INERTIAL MANIFOLDS FOR INFINITE DELAY EVOLUTION EQUATIONS","authors":"Le Anh Minh","doi":"10.4134/BKMS.B200462","DOIUrl":"https://doi.org/10.4134/BKMS.B200462","url":null,"abstract":"The aim of this paper is to prove the existence of an admissible inertial manifold for mild solutions to infinite delay evolution equation of the form  du dt +Au = F (t, ut), t ≥ s, us(θ) = φ(θ), ∀θ ∈ (−∞, 0], s ∈ R, where A is positive definite and self-adjoint with a discrete spectrum, the Lipschitz coefficient of the nonlinear part F may depend on time and belongs to some admissible function space defined on the whole line. The proof is based on the Lyapunov-Perron equation in combination with admissibility and duality estimates.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"669-688"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363580","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
GLOBAL AXISYMMETRIC SOLUTIONS TO THE 3D NAVIER-STOKES-POISSON-NERNST-PLANCK SYSTEM IN THE EXTERIOR OF A CYLINDER 圆柱外三维navier - stokes - poisson -能斯特-普朗克系统的全局轴对称解
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200536
Jihong Zhao
{"title":"GLOBAL AXISYMMETRIC SOLUTIONS TO THE 3D NAVIER-STOKES-POISSON-NERNST-PLANCK SYSTEM IN THE EXTERIOR OF A CYLINDER","authors":"Jihong Zhao","doi":"10.4134/BKMS.B200536","DOIUrl":"https://doi.org/10.4134/BKMS.B200536","url":null,"abstract":"In this paper we prove global existence and uniqueness of axisymmetric strong solutions for the three dimensional electro-hydrodynamic model based on the coupled Navier–Stokes–Poisson–Nernst–Planck system in the exterior of a cylinder. The key ingredient is that we use the axisymmetry of functions to derive the Lp interpolation inequalities, which allows us to establish all kinds of a priori estimates for the velocity field and charged particles via several cancellation laws.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"729-744"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363833","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
REAL-VARIABLE CHARACTERIZATIONS OF VARIABLE HARDY SPACES ON LIPSCHITZ DOMAINS OF ℝ n l - n的LIPSCHITZ域上变HARDY空间的实变刻画
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200545
Xiong Liu
{"title":"REAL-VARIABLE CHARACTERIZATIONS OF VARIABLE HARDY SPACES ON LIPSCHITZ DOMAINS OF ℝ n","authors":"Xiong Liu","doi":"10.4134/BKMS.B200545","DOIUrl":"https://doi.org/10.4134/BKMS.B200545","url":null,"abstract":"Let Ω be a proper open subset of Rn and p(·) : Ω → (0, ∞) be a variable exponent function satisfying the globally log-Hölder continuous condition. In this article, the author introduces the “geometrical” variable Hardy spaces H p(·) r (Ω) and H p(·) z (Ω) on Ω, and then obtains the grand maximal function characterizations of H p(·) r (Ω) and H p(·) z (Ω) when Ω is a strongly Lipschitz domain of Rn. Moreover, the author further introduces the “geometrical” variable local Hardy spaces h p(·) r (Ω), and then establishes the atomic characterization of h p(·) r (Ω) when Ω is a bounded Lipschitz domain of Rn.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"58 1","pages":"745-765"},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70363883","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 PARTIAL VALUE SHARING RESULTS OF MEROMORPHIC FUNCTIONS WITH THEIR SHIFTS AND ITS APPLICATIONS 亚纯函数及其移位的部分值共享结果及其应用
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2020-09-01 DOI: 10.4134/BKMS.B190483
Vangty Noulorvang, D. T. Pham
{"title":"ON PARTIAL VALUE SHARING RESULTS OF MEROMORPHIC FUNCTIONS WITH THEIR SHIFTS AND ITS APPLICATIONS","authors":"Vangty Noulorvang, D. T. Pham","doi":"10.4134/BKMS.B190483","DOIUrl":"https://doi.org/10.4134/BKMS.B190483","url":null,"abstract":"In this paper, we give some uniqueness theorems of nonconstant meromorphic functions of hyper-order less than one sharing partially three or four small periodic functions with their shifts. As an application, some sufficient conditions for periodicity of meromorphic functions are given. Our results improve and extend previous results of W. Lin, X. Lin and A. Wu [11].","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"1083-1094"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44558168","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
Remarks on Liouville type theorems for the 3D stationary MHD equations 关于三维平稳MHD方程的Liouville型定理的注记
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2020-09-01 DOI: 10.4134/BKMS.B190828
Zhouyu Li, Pan Liu, P. Niu
{"title":"Remarks on Liouville type theorems for the 3D stationary MHD equations","authors":"Zhouyu Li, Pan Liu, P. Niu","doi":"10.4134/BKMS.B190828","DOIUrl":"https://doi.org/10.4134/BKMS.B190828","url":null,"abstract":"The aim of this paper is to establish Liouville type results for the stationary MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces, must be zero. Moreover, we also obtain Liouville type theorem for the case of axially symmetric MHD equations. Our results generalize previous works by Schulz [14] and Seregin-Wang [18].","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"1151-1164"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48764252","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: 9
On diversity of certain T-intersecting families 若干t型相交家族的多样性
IF 0.5 4区 数学
Bulletin of the Korean Mathematical Society Pub Date : 2020-07-31 DOI: 10.4134/BKMS.B190301
C. Y. Ku, K. B. Wong
{"title":"On diversity of certain T-intersecting families","authors":"C. Y. Ku, K. B. Wong","doi":"10.4134/BKMS.B190301","DOIUrl":"https://doi.org/10.4134/BKMS.B190301","url":null,"abstract":"Let [n] = {1, 2, . . . , n} and 2[n] be the set of all subsets of [n]. For a family F ⊆ 2[n], its diversity, denoted by div(F), is defined to be div(F) = min x∈[n] {|F(x)|} , where F(x) = {F ∈ F : x / ∈ F}. Basically, div(F) measures how far F is from a trivial intersecting family, which is called a star. In this paper, we consider a generalization of diversity for t-intersecting family.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"57 1","pages":"815-829"},"PeriodicalIF":0.5,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43287369","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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