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Maximal Estimates for the Bilinear Riesz Means on Heisenberg Groups Heisenberg群上双线性Riesz均值的极大估计
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-10-26 DOI: 10.11650/tjm/230802
Min Wang, Hua Zhu
{"title":"Maximal Estimates for the Bilinear Riesz Means on Heisenberg Groups","authors":"Min Wang, Hua Zhu","doi":"10.11650/tjm/230802","DOIUrl":"https://doi.org/10.11650/tjm/230802","url":null,"abstract":"In this article, we investigate the maximal bilinear Riesz means $S^{alpha }_{*}$ associated to the sublaplacian on the Heisenberg group. We prove that the operator $S^{alpha }_{*}$ is bounded from $L^{p_{1}}times L^{p_{2}}$ into $% L^{p}$ for $2leq p_{1}, p_{2}leq infty $ and $1/p=1/p_{1}+1/p_{2}$ when $% alpha $ is large than a suitable smoothness index $alpha (p_{1},p_{2})$. For obtaining a lower index $alpha (p_{1},p_{2})$, we define two important auxiliary operators and investigate their $L^{p}$ estimates,which play a key role in our proof.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49441114","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
Non-Gorenstein Locus and Almost Gorenstein Property of the Ehrhart Ring of the Stable Set Polytope of a Cycle Graph 循环图稳定集多面体Ehrhart环的非Gorenstein轨迹和几乎Gorenstein性质
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-05-03 DOI: 10.11650/tjm/221104
Mitsuhiro Miyazaki
{"title":"Non-Gorenstein Locus and Almost Gorenstein Property of the Ehrhart Ring of the Stable Set Polytope of a Cycle Graph","authors":"Mitsuhiro Miyazaki","doi":"10.11650/tjm/221104","DOIUrl":"https://doi.org/10.11650/tjm/221104","url":null,"abstract":"Let $R$ be the Ehrhart ring of the stable set polytope of a cycle graph which is not Gorenstein. We describe the non-Gorenstein locus of $mathrm{Spec} R$. Further, we show that $R$ is almost Gorenstein. Moreover, we show that the conjecture of Hibi and Tsuchiya is true.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42122675","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
Domination, Independent Domination and $k$-independence in Trees tree中的支配、独立支配和$k$-独立性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-03-21 DOI: 10.11650/tjm/211005
Gang Zhang, Baoyindureng Wu
{"title":"Domination, Independent Domination and $k$-independence in Trees","authors":"Gang Zhang, Baoyindureng Wu","doi":"10.11650/tjm/211005","DOIUrl":"https://doi.org/10.11650/tjm/211005","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44011637","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
Rotational $K^{alpha}$-translators in Minkowski Space Minkowski空间中的旋转$K^{alpha}$-翻译器
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-02-12 DOI: 10.11650/tjm/230602
M. Aydın, Rafael L'opez
{"title":"Rotational $K^{alpha}$-translators in Minkowski Space","authors":"M. Aydın, Rafael L'opez","doi":"10.11650/tjm/230602","DOIUrl":"https://doi.org/10.11650/tjm/230602","url":null,"abstract":"A spacelike surface in Minkowski space $mathbb{R}_1^3$ is called a $K^alpha$-translator of the flow by the powers of Gauss curvature if satisfies $K^alpha= langle N,vec{v}rangle$, $alpha neq 0$, where $K$ is the Gauss curvature, $N$ is the unit normal vector field and $vec{v}$ is a direction of $mathbb{R}_1^3$. In this paper, we classify all rotational $K^alpha$-translators. This classification will depend on the causal character of the rotation axis. Although the theory of the $K^alpha$-flow holds for spacelike surfaces, the equation describing $K^alpha$-translators is still valid for timelike surfaces. So we also investigate the timelike rotational surfaces that satisfy the same prescribing Gauss curvature equation.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42001507","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
Exact Penalization and Optimality Conditions for Approximate Directional Minima 近似方向极小的精确惩罚和最优性条件
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-20 DOI: 10.11650/TJM/211004
Teodor Chelmuş
{"title":"Exact Penalization and Optimality Conditions for Approximate Directional Minima","authors":"Teodor Chelmuş","doi":"10.11650/TJM/211004","DOIUrl":"https://doi.org/10.11650/TJM/211004","url":null,"abstract":"In this paper, we study the concept of approximate directional efficiency for set-valued constrained and unconstrained optimization problems. In our work, we concerned with finding conditions under which the Clarke penalization technique can be applied, and we derive some optimality conditions via variational analysis tools such as limiting normal cones and its corresponding normal coderivative.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48754486","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
Blow-up in Coupled Solutions for a $4$-dimensional Semilinear Elliptic Kuramoto–Sivashinsky System 4维半线性椭圆Kuramoto-Sivashinsky系统耦合解的爆破
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220601
Lilia Larbi, N. Trabelsi
{"title":"Blow-up in Coupled Solutions for a $4$-dimensional Semilinear Elliptic Kuramoto–Sivashinsky System","authors":"Lilia Larbi, N. Trabelsi","doi":"10.11650/tjm/220601","DOIUrl":"https://doi.org/10.11650/tjm/220601","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44998661","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
Uniform Stabilization for a Semilinear Wave Equation with Variable Coefficients and Nonlinear Boundary Conditions 一类具有非线性边界条件的变系数半线性波动方程的一致镇定
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220302
El-Hadi Kamel, A. Ainouz, A. Khemmoudj
{"title":"Uniform Stabilization for a Semilinear Wave Equation with Variable Coefficients and Nonlinear Boundary Conditions","authors":"El-Hadi Kamel, A. Ainouz, A. Khemmoudj","doi":"10.11650/tjm/220302","DOIUrl":"https://doi.org/10.11650/tjm/220302","url":null,"abstract":". The uniform stabilization of a semilinear wave equation with variable coef-ficients and nonlinear boundary conditions is considered. The uniform decay rate is established by the Riemannian geometry method.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46351763","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
Labeling Trees of Small Diameters with Consecutive Integers 用连续整数标记小直径树
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221103
Wei-Tian Li, Yi-Shun Wang
{"title":"Labeling Trees of Small Diameters with Consecutive Integers","authors":"Wei-Tian Li, Yi-Shun Wang","doi":"10.11650/tjm/221103","DOIUrl":"https://doi.org/10.11650/tjm/221103","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48052337","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
Distance (Signless) Laplacian Eigenvalues of $k$-uniform Hypergraphs $k$-一致超图的距离（无符号）拉普拉斯特征值
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220604
Xiangxiang Liu, Ligong Wang
{"title":"Distance (Signless) Laplacian Eigenvalues of $k$-uniform Hypergraphs","authors":"Xiangxiang Liu, Ligong Wang","doi":"10.11650/tjm/220604","DOIUrl":"https://doi.org/10.11650/tjm/220604","url":null,"abstract":". The distance (signless) Laplacian eigenvalues of a connected hypergraph are the eigenvalues of its distance (signless) Laplacian matrix. For all n -vertex k -uniform hypertrees, we determine the k -uniform hypertree with minimum second largest distance (signless) Laplacian eigenvalue. For all n -vertex k -uniform unicyclic hypergraphs, we obtain the k -uniform unicyclic hypergraph with minimum largest distance (signless) Laplacian eigenvalue, and the k -uniform unicyclic hypergraph with minimum second largest distance Laplacian eigenvalue.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43552524","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
Global $L^{2}$-boundedness of a New Class of Rough Fourier Integral Operators 一类新的粗糙傅立叶积分算子的全局$L^{2}$有界性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220403
Jiawei Dai, Qiang Huang
{"title":"Global $L^{2}$-boundedness of a New Class of Rough Fourier Integral Operators","authors":"Jiawei Dai, Qiang Huang","doi":"10.11650/tjm/220403","DOIUrl":"https://doi.org/10.11650/tjm/220403","url":null,"abstract":". In this paper, we investigate the L 2 boundedness of Fourier integral operator T φ,a with rough symbol a ∈ L ∞ S mρ and rough phase φ ∈ L ∞ Φ 2 which satisfies (cid:12)(cid:12) { x : |∇ ξ φ ( x, ξ ) − y | ≤ r } (cid:12)(cid:12) ≤ C ( r n − 1 + r n ) for any ξ, y ∈ R n and r > 0. We obtain that T φ,a is bounded on L 2 if m < ρ ( n − 1) / 2 − n/ 2 when 0 ≤ ρ ≤ 1 / 2 or m < − ( n + 1) / 4 when 1 / 2 ≤ ρ ≤ 1. When ρ = 0 or n = 1, the condition of m is sharp. Moreover, the maximal wave operator is a special class of T φ,a which is studied in this paper. Thus, our main theorem substantially extends and improves some known results about the maximal wave operator.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47526394","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
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