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Remarks on weak compactness criteria in variable exponent Lebesgue spaces 关于可变指数勒贝格空间中弱紧凑性标准的评论
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287839
Francisco L. Hernández, César Ruiz, Mauro Sanchiz
{"title":"Remarks on weak compactness criteria in variable exponent Lebesgue spaces","authors":"Francisco L. Hernández, César Ruiz, Mauro Sanchiz","doi":"10.2989/16073606.2023.2287839","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287839","url":null,"abstract":"We give two weak compactness Andô type criteria in variable exponent Lebesgue spaces Lp(·) (Ω) on infinite measures. This extends some results of [13] given in the case of finite measures. Spaces L...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073548","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
Scaling and instantaneous blow up 缩放和瞬时爆炸
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287834
Gisèle Ruiz Goldstein, Jerome A. Goldstein, İsmail Kömbe, Abdelaziz Rhandi
{"title":"Scaling and instantaneous blow up","authors":"Gisèle Ruiz Goldstein, Jerome A. Goldstein, İsmail Kömbe, Abdelaziz Rhandi","doi":"10.2989/16073606.2023.2287834","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287834","url":null,"abstract":"The main result is a simple proof of the Baras-Goldstein (1984) instantaneous blow up result for the heat equation with the inverse square potential. The proof relies heavily, indeed mainly, on sca...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140076244","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
Hereditarily projectable Archimedean lattice-ordered groups with unit 具有单位的遗传可投影阿基米德网格有序群
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-07 DOI: 10.2989/16073606.2023.2287836
Anthony W. Hager, Brian Wynne
{"title":"Hereditarily projectable Archimedean lattice-ordered groups with unit","authors":"Anthony W. Hager, Brian Wynne","doi":"10.2989/16073606.2023.2287836","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287836","url":null,"abstract":"Let W be the category of Archimedean lattice-ordered groups with distinguished weak unit and unit-preserving ℓ-group homomorphisms. We denote by P, wP, Loc, HA, respectively, the collections of pro...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140150401","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
Lattice characterization of extreme positive operators 极正算子的晶格特征
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-06 DOI: 10.2989/16073606.2024.2320446
Jamel Jaber, Adnen Khalfaoui
{"title":"Lattice characterization of extreme positive operators","authors":"Jamel Jaber, Adnen Khalfaoui","doi":"10.2989/16073606.2024.2320446","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320446","url":null,"abstract":"We present a lattice-based characterization of extreme points whithin well-defined convex subsets of positive operators, operating between Banach lattices with quasi-interior points.","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073549","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 the way to Frölicher bornology 前往弗洛里希出生地的路上
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-06 DOI: 10.2989/16073606.2024.2320441
Ben Moditi Mahudu, Mukinayi Hermenegilde Tshilombo
{"title":"On the way to Frölicher bornology","authors":"Ben Moditi Mahudu, Mukinayi Hermenegilde Tshilombo","doi":"10.2989/16073606.2024.2320441","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320441","url":null,"abstract":"In this work we introduce the concept of bornology on the theory of Frölicher spaces. A canonical bornology, called the functional bornology, is induced from structure functions, and bounded maps u...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140071233","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
Fubini’s theorem for a vector-valued Daniell integral 矢量值丹尼尔积分的富比尼定理
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-06 DOI: 10.2989/16073606.2024.2322684
Jacobus J. Grobler
{"title":"Fubini’s theorem for a vector-valued Daniell integral","authors":"Jacobus J. Grobler","doi":"10.2989/16073606.2024.2322684","DOIUrl":"https://doi.org/10.2989/16073606.2024.2322684","url":null,"abstract":"We define the product integral for two Riesz space-valued Daniell integrals and prove Fubini’s theorem establishing the relation between product integrals and iterated integrals. The properties of ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073557","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
Planar polynomial of the graphs 图形的平面多项式
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-06 DOI: 10.2989/16073606.2024.2320434
Behnaz Tolue, Alireza Doostabadi, Sayed Masih Ayat
{"title":"Planar polynomial of the graphs","authors":"Behnaz Tolue, Alireza Doostabadi, Sayed Masih Ayat","doi":"10.2989/16073606.2024.2320434","DOIUrl":"https://doi.org/10.2989/16073606.2024.2320434","url":null,"abstract":"In this paper, the planar polynomial of a graph is introduced and some of its properties are discussed. The planar polynomial of the graph G is real-rooted if and only if G is planar. This polynomi...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140071237","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
Optimal system and conservation laws for the generalized Fisher equation in cylindrical coordinates 圆柱坐标下广义费雪方程的最优系统和守恒定律
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-06 DOI: 10.2989/16073606.2024.2321261
A.H. Kara, Sonia Naseer, Ali Raza, F.D. Zaman
{"title":"Optimal system and conservation laws for the generalized Fisher equation in cylindrical coordinates","authors":"A.H. Kara, Sonia Naseer, Ali Raza, F.D. Zaman","doi":"10.2989/16073606.2024.2321261","DOIUrl":"https://doi.org/10.2989/16073606.2024.2321261","url":null,"abstract":"The reaction diffusion equation arises in physical situations in problems from population growth, genetics and physical sciences. In many practical situations, the physical domain of the problem is...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073567","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
Complete convergence for the maximal partial sums without maximal inequalities 不含最大不等式的最大局部和的完全收敛性
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-06 DOI: 10.2989/16073606.2024.2323150
Fakhreddine Boukhari, Nguyen Chi Dzung, Lê Vǎn Thaǹh
{"title":"Complete convergence for the maximal partial sums without maximal inequalities","authors":"Fakhreddine Boukhari, Nguyen Chi Dzung, Lê Vǎn Thaǹh","doi":"10.2989/16073606.2024.2323150","DOIUrl":"https://doi.org/10.2989/16073606.2024.2323150","url":null,"abstract":"This work provides the necessary and sufficient conditions for complete convergence for the maximal partial sums of dependent random variables. The results are proved without using maximal inequali...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073591","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
The second nonlinear mixed bi-skew Lie triple derivations on factor von Neumann algebras 因子冯诺依曼布拉上的第二非线性混合双斜列三重推导
IF 0.7 4区 数学
Quaestiones Mathematicae Pub Date : 2024-03-06 DOI: 10.2989/16073606.2024.2323708
Yuan Yang, Jianhua Zhang
{"title":"The second nonlinear mixed bi-skew Lie triple derivations on factor von Neumann algebras","authors":"Yuan Yang, Jianhua Zhang","doi":"10.2989/16073606.2024.2323708","DOIUrl":"https://doi.org/10.2989/16073606.2024.2323708","url":null,"abstract":"Let be a factor von Neumann algebra with dim . In this paper, it is shown that if a map satisfies for all , then ϕ is an additive ∗-derivation, where .","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073398","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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