. We address some vector valued maximal inequalities in a type of Sobolev multiplier spaces associated with Bessel capacities. We show that the vector valued maximal inequalities are of local type.
{"title":"A note on vector valued maximal inequalities in Sobolev multiplier spaces","authors":"Keng Hao Ooi","doi":"10.4171/rsmup/164","DOIUrl":"https://doi.org/10.4171/rsmup/164","url":null,"abstract":". We address some vector valued maximal inequalities in a type of Sobolev multiplier spaces associated with Bessel capacities. We show that the vector valued maximal inequalities are of local type.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"56 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140662504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. Saber, M. Youssif, Yagoub A. S. Arko, O.A.I. Elziber, Mohammed Osman, K. Adam, Haroun Adam
{"title":"Subellipticity, compactness, $H^{epsilon}$ estimates and regularity for $bar{partial}$ on weakly $q$-pseudoconvex/concave domains","authors":"S. Saber, M. Youssif, Yagoub A. S. Arko, O.A.I. Elziber, Mohammed Osman, K. Adam, Haroun Adam","doi":"10.4171/rsmup/160","DOIUrl":"https://doi.org/10.4171/rsmup/160","url":null,"abstract":"","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"70 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140670689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Jacobson radicals, abelian $p$-groups and the $oplus_{c}$-topology","authors":"P. Keef","doi":"10.4171/rsmup/162","DOIUrl":"https://doi.org/10.4171/rsmup/162","url":null,"abstract":"","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"22 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140696412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"$H^{2}$ solutions for a Degasperis–Procesi-type equation","authors":"G. Coclite, Lorenzo di Ruvo","doi":"10.4171/rsmup/158","DOIUrl":"https://doi.org/10.4171/rsmup/158","url":null,"abstract":"","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"29 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140695688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On finite groups in which every maximal subgroup of order divisible by $p$ is nilpotent (or abelian)","authors":"Jiangtao Shi, Yunfeng Tian","doi":"10.4171/rsmup/159","DOIUrl":"https://doi.org/10.4171/rsmup/159","url":null,"abstract":"","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"54 15","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140748695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
– A subgroup 𝐻 of a group 𝐺 is said to be a 𝐵𝑁𝐴 -subgroup of 𝐺 if either 𝐻 𝑥 = 𝐻 or 𝑥 ∈ ⟨ 𝐻, 𝐻 𝑥 ⟩ for all 𝑥 ∈ 𝐺 . The purpose of this paper is first to give the best bound for the Fitting height of 𝐺 if all minimal subgroups of 𝐺 are 𝐵𝑁𝐴 -subgroups of 𝐺 , and next give an answer for the question of the paper [On 𝐵𝑁𝐴 -normality and solvability of finite groups, Rend. Sem. Mat. Univ. Padova 136 (2016), 51-60]. Finally we use few 𝐵𝑁𝐴 -subgroups of prime order to determine the structure of the finite groups. In fact, some new conditions for a finite group to be supersolvable have been given.
{"title":"On finite groups in which all minimal subgroups are BNA-subgroups","authors":"Yanhui Wang, Xiuyun Guo","doi":"10.4171/rsmup/157","DOIUrl":"https://doi.org/10.4171/rsmup/157","url":null,"abstract":"– A subgroup 𝐻 of a group 𝐺 is said to be a 𝐵𝑁𝐴 -subgroup of 𝐺 if either 𝐻 𝑥 = 𝐻 or 𝑥 ∈ ⟨ 𝐻, 𝐻 𝑥 ⟩ for all 𝑥 ∈ 𝐺 . The purpose of this paper is first to give the best bound for the Fitting height of 𝐺 if all minimal subgroups of 𝐺 are 𝐵𝑁𝐴 -subgroups of 𝐺 , and next give an answer for the question of the paper [On 𝐵𝑁𝐴 -normality and solvability of finite groups, Rend. Sem. Mat. Univ. Padova 136 (2016), 51-60]. Finally we use few 𝐵𝑁𝐴 -subgroups of prime order to determine the structure of the finite groups. In fact, some new conditions for a finite group to be supersolvable have been given.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"97 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140377312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Moreno Andreatta, Corentin Guichaoua, Nicolas Juillet
The Hexachordal Theorem is an intriguing combinatorial property of the sets in Z/12Z discovered and popularized by the musicologist Milton Babbitt (19162011). It has been given several explanations and partial generalizations. Here we enhance how this phenomenon can be understood by giving both a geometrical and a probabilistic perspective. Mathematics Subject Classification (2020). Primary: 00A65; Secondary: 28A75, 05C12, 60Dxx.
{"title":"New hexachordal theorems in metric spaces with a probability measure","authors":"Moreno Andreatta, Corentin Guichaoua, Nicolas Juillet","doi":"10.4171/rsmup/150","DOIUrl":"https://doi.org/10.4171/rsmup/150","url":null,"abstract":"The Hexachordal Theorem is an intriguing combinatorial property of the sets in Z/12Z discovered and popularized by the musicologist Milton Babbitt (19162011). It has been given several explanations and partial generalizations. Here we enhance how this phenomenon can be understood by giving both a geometrical and a probabilistic perspective. Mathematics Subject Classification (2020). Primary: 00A65; Secondary: 28A75, 05C12, 60Dxx.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"51 13","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140258709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the local structure of the Brill–Noether locus of locally free sheaves on a smooth variety","authors":"","doi":"10.4171/rsmup/155","DOIUrl":"https://doi.org/10.4171/rsmup/155","url":null,"abstract":"","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"31 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140082761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
– We study the existence and uniqueness of renormalized solutions for noncoercive nonlinear parabolic equations in the presence of an unbounded convective term.
- 我们研究了存在无约束对流项的非胁迫非线性抛物方程的重规范化解的存在性和唯一性。
{"title":"Existence and uniqueness for renormalized solutions to noncoercive nonlinear parabolic equations with unbounded convective term","authors":"Thi Tam Dang, G. Orlandi","doi":"10.4171/rsmup/146","DOIUrl":"https://doi.org/10.4171/rsmup/146","url":null,"abstract":"– We study the existence and uniqueness of renormalized solutions for noncoercive nonlinear parabolic equations in the presence of an unbounded convective term.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"123 38","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139614871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Let G be a p-adic reductive group and R be a noetherian Jacobson algebra over the ring Zl of l-adic integers with l ≠ p. In this note, we show that every smooth irreducible R-linear representation of G is admissible using the finiteness result of Dat, Helm, Kurinczuk and Moss for Hecke algebras over R. Mathematics Subject Classification (2020) – Primary 22E50; Secondary 11F70, 20C08.
在本论文中，我们利用 Dat、Helm、Kurinczuk 和 Moss 对 R 上赫克代数的有限性结果，证明 G 的每个光滑不可还原 R 线性表示都是可容许的。
{"title":"A note on the admissibility of smooth simple $RG$-modules","authors":"Mihir Sheth","doi":"10.4171/rsmup/148","DOIUrl":"https://doi.org/10.4171/rsmup/148","url":null,"abstract":"Let G be a p-adic reductive group and R be a noetherian Jacobson algebra over the ring Zl of l-adic integers with l ≠ p. In this note, we show that every smooth irreducible R-linear representation of G is admissible using the finiteness result of Dat, Helm, Kurinczuk and Moss for Hecke algebras over R. Mathematics Subject Classification (2020) – Primary 22E50; Secondary 11F70, 20C08.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"3 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139383952","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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