Pub Date : 2024-02-20DOI: 10.21136/cmj.2024.0360-23
Bo Chen
{"title":"On a sum involving the integral part function","authors":"Bo Chen","doi":"10.21136/cmj.2024.0360-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0360-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140446473","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}
Pub Date : 2024-02-16DOI: 10.21136/cmj.2024.0431-23
Abstract
We introduce a type of n-dimensional bilinear fractional Hardy-type operators with rough kernels and prove the boundedness of these operators and their commutators on central Morrey spaces with variable exponents. Furthermore, the similar definitions and results of multilinear fractional Hardy-type operators with rough kernels are obtained.
摘要 我们引入了一种具有粗糙核的 n 维双线性分数哈代型算子，并证明了这些算子及其换元子在具有可变指数的中心莫雷空间上的有界性。此外，我们还得到了具有粗糙核的多线性分数哈代型算子的类似定义和结果。
{"title":"Bilinear fractional Hardy-type operators with rough kernels on central Morrey spaces with variable exponents","authors":"","doi":"10.21136/cmj.2024.0431-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0431-23","url":null,"abstract":"<h3>Abstract</h3> <p>We introduce a type of <em>n</em>-dimensional bilinear fractional Hardy-type operators with rough kernels and prove the boundedness of these operators and their commutators on central Morrey spaces with variable exponents. Furthermore, the similar definitions and results of multilinear fractional Hardy-type operators with rough kernels are obtained.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139926730","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}
Pub Date : 2024-02-13DOI: 10.21136/cmj.2024.0433-23
Guanglin Ma, Yao Wang, André Leroy
{"title":"Rings in which elements are sum of a central element and an element in the Jacobson radical","authors":"Guanglin Ma, Yao Wang, André Leroy","doi":"10.21136/cmj.2024.0433-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0433-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139781204","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}
Pub Date : 2024-02-12DOI: 10.21136/cmj.2024.0326-23
Fang-Gang Xue
{"title":"Representation functions for binary linear forms","authors":"Fang-Gang Xue","doi":"10.21136/cmj.2024.0326-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0326-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139783088","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}
Pub Date : 2024-02-12DOI: 10.21136/cmj.2024.0354-23
Zhen-Hang Yang, Jingfeng Tian
{"title":"Complete monotonicity of the remainder in an asymptotic series related to the psi function","authors":"Zhen-Hang Yang, Jingfeng Tian","doi":"10.21136/cmj.2024.0354-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0354-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139843832","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}
Pub Date : 2024-02-12DOI: 10.21136/cmj.2024.0354-23
Zhen-Hang Yang, Jingfeng Tian
{"title":"Complete monotonicity of the remainder in an asymptotic series related to the psi function","authors":"Zhen-Hang Yang, Jingfeng Tian","doi":"10.21136/cmj.2024.0354-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0354-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139783869","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}
Pub Date : 2024-02-12DOI: 10.21136/cmj.2024.0326-23
Fang-Gang Xue
{"title":"Representation functions for binary linear forms","authors":"Fang-Gang Xue","doi":"10.21136/cmj.2024.0326-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0326-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139842787","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}
Pub Date : 2024-02-12DOI: 10.21136/cmj.2024.0366-23
Abstract
Let D be a nonempty open set in a metric space (X, d) with ∂D ≠ Ø. Define $$h_{D,c}(x,y)=logleft(1+c{{{d(x,y)}}over{{sqrt{d_{D}(x)d_{D}(y)}}}}right).$$ where dD(x) = d(x, ∂D) is the distance from x to the boundary of D. For every c ⩾ 2, hD,c is a metric. We study the sharp Lipschitz constants for the metric hD,c under Möbius transformations of the unit ball, the upper half space, and the punctured unit ball.
定义 $$h_{D,c}(x,y)=logleft(1+c{{d(x,y)}}over{{sqrt{d_{D}(x)d_{D}(y)}}}}right).$$ 其中 dD(x) = d(x, ∂D) 是 x 到 D 边界的距离。对于每一个 c ⩾ 2，hD,c 都是一个度量。我们将研究在单位球、上半空间和穿刺单位球的莫比乌斯变换下，度量 hD,c 的利普希兹常数。
{"title":"Lipschitz constants for a hyperbolic type metric under Möbius transformations","authors":"","doi":"10.21136/cmj.2024.0366-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0366-23","url":null,"abstract":"<h3>Abstract</h3> <p>Let <em>D</em> be a nonempty open set in a metric space (<em>X, d</em>) with <em>∂D</em> ≠ Ø. Define <span> <span>$$h_{D,c}(x,y)=logleft(1+c{{{d(x,y)}}over{{sqrt{d_{D}(x)d_{D}(y)}}}}right).$$</span> </span> where <em>d</em><sub><em>D</em></sub>(<em>x</em>) = <em>d</em>(<em>x, ∂D</em>) is the distance from <em>x</em> to the boundary of <em>D</em>. For every <em>c</em> ⩾ 2, <em>h</em><sub><em>D,c</em></sub> is a metric. We study the sharp Lipschitz constants for the metric <em>h</em><sub><em>D,c</em></sub> under Möbius transformations of the unit ball, the upper half space, and the punctured unit ball.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139980488","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}
Pub Date : 2024-02-09DOI: 10.21136/cmj.2024.0355-23
Amrinder Kaur, A. Sankaranarayanan
{"title":"On certain $GL(6)$ form and its Rankin-Selberg convolution","authors":"Amrinder Kaur, A. Sankaranarayanan","doi":"10.21136/cmj.2024.0355-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0355-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139789486","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}
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