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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 Q3 MATHEMATICS 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 Q3 MATHEMATICS Pub Date : 2021-05-31 DOI: 10.4134/BKMS.B200492
Young-Jin Kim
The convex hull of a generic triple of boundary points has non-zero finite volume in complex hyperbolic 2-space.
一般三重边值点的凸包在复双曲2-空间中具有非零有限体积。
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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 Q3 MATHEMATICS Pub Date : 2021-05-01 DOI: 10.4134/BKMS.B200473
E. Ko
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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 Q3 MATHEMATICS Pub Date : 2021-03-01 DOI: 10.4134/BKMS.B200311
A. Marah, H. Redwane
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.
我们证明了一类非线性奇异椭圆问题解的存在性和正则性结果− div(((a(x)+|u|)Şu)=f|u|γ在Ω上,u=0,其中Ω是RN(N≥2)的有界开子集,a(x)是可测量的非负函数,q,γ>0,并且源f是对于一些m≥1属于Lm(Ω)的非负(非恒等零)函数。我们的结果将取决于f的可和性和q的值,γ>0。
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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 Q3 MATHEMATICS Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B190783
J. Seo, Seong-Deog Yang
We examine the theory of surfaces in the isotropic threespace, with emphases on the surfaces related to the zero mean curvature.
我们研究了各向同性三维空间中的曲面理论,重点是与零平均曲率相关的曲面。
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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 Q3 MATHEMATICS Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200055
Inhyeop Yi
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.
对于伪自由和循环自相似群,我们证明了逆半群部分作用的连续轨道等价意味着群作用的连续轨道等价。反之,如果群作用是连续轨道等价的,并且诱导同胚与群拟上的移位映射交换,则得到逆半群部分作用的连续轨道等价。
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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 Q3 MATHEMATICS Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200437
Caixing Gu, Jaehui Park, Chase Peak, J. Rowley
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 ∗.
当A是一个3×3矩阵时,我们将(在酉相似下)Kronecker和A (= A⊗I + I⊗A)分解为不可约矩阵的直接和。因此,我们将K(a a)识别为由Artin - Wedderburn定理预测的几个满矩阵代数的直接和,其中K(T)是由T和T *生成的一元代数。
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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 Q3 MATHEMATICS Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200403
M. Chien, Jie Meng
. 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
. 研究了费马矩阵方程在某些2 × 2矩阵中的可解性。证明了费马矩阵方程在一组2 × 2正半定积分矩阵中有无穷多个解,在2 × 2对称有理矩阵和随机二次域矩阵中无非平凡解
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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 Q3 MATHEMATICS Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200464
R. Qian, Xiangling Zhu
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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 Q3 MATHEMATICS Pub Date : 2021-01-01 DOI: 10.4134/BKMS.B200380
Raouf Fakhfakh
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.
用M+表示R+上支持的概率测度集。假设Vν是Cauchy-Stieltjes Kernel (CSK)族K−(ν)的方差函数,由一个非简并概率测度ν∈M+生成。确定了布尔乘法卷积幂下方差函数的表达式。这个公式用于确定映射ν 7→Mt(ν) = (ν (t+1))∪× 1 t+1从M+到自身的方差函数之间的关系。
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引用次数: 5
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Bulletin of the Korean Mathematical Society
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